Calculate the correlation coefficient r and the regression line for the given sea level pressure and wind speed data. Then predict wind speed for 977 millibars. Round appropriately.
Calculate total sales minus refunds for Sara's Olde Curiosity Shop, which has a 3% fee. Sales: \$70.63, \$108.54, \$186.18, \$131.93, \$92.09, \$180.38, \$165.82, \$187.43; Refunds: \$26.32, \$12.87, \$26.12.
Find the mean price paid by the elderly for antidepressants from the list: 10, 20, 42, 34, 31, 17, 21, 53.33, 19, 55, 23, 57, 34, 55, 61, 44, 41, 39, 38, 47, 30, 55, 67. Round to a whole number.
Tax-Exempt Properties A tax collector wishes to see if the mean values of the tax-exempt propertice are different for two cities. The values of the tax-exempt properties for the two samples are shown. The data are given in millions of bollars. At α=0.10, is there endugh evidence tos support the tax eallector's edaim that the mesus sre different?
\begin{tabular}{cccc|cccc}
\multicolumn{4}{c|}{ Clty A } & \multicolumn{4}{|c}{ Clty B } \\
\hline 10 & 52 & 13 & 27 & 68 & 11 & 81 & 9 \\
15 & 31 & 16 & 22 & 82 & 50 & 12 & 4 \\
33 & 38 & 31 & 39 & 20 & 5 & 15 & 12 \\
19 & 27 & & & 2 & 5 & 16 &
\end{tabular}
Sand tata to Ercel Use μi for the mean value of tax-exempt properties in City A. Assume the variables are normally distributed and the variances are unequal. Port 1 of 5 State the hypotheses and identify the claim with the correct hypothesis.
H0:μ1=μ2 net claim H1:μ1=μ2 dolm
This hypothesis test is a two-talled 7 test. Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer(s) to at least three decimal places. If there more than one citical value, separate them with commas.
Critical value(s): □
The x-axis represents the week and the y-axis represents the grade. According to the data, there should be points (1,82)(2,88)(3,84)(4,91)(5,90)
where the x variable represents the week and the y variable represents the student's grade on a particular week. Fo instance, on week 2 , the student's grade was an 88 . Content attribution Question
According to the information above, did the student's grade increase each week of her summet-term economics cours
Select the correct answer below:
Yes. From the data we see that the student's grade increased each week,
No. From the data we see that the student's grade decreased each week.
No. From the data we see that the student's grade fluctuated over time.
That information can not be determined from the line graph.
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asing a calculator or statisucal sortware, rind the innear regression line for the data in the table below.
Enter your answer in the form y=mx+b, with m and b both rounded to two decimal places.
\begin{tabular}{|c|c|}
\hlinex & y \\
\hline 1 & 4.59 \\
\hline 2 & 4.99 \\
\hline 3 & 6.74 \\
\hline 4 & 7.72 \\
\hline 5 & 8.92 \\
\hline 6 & 10.17 \\
\hline 7 & 10.37 \\
\hline
\end{tabular} Provide your answer below:
y=□r+□
4. Based on the information provided below:
\begin{tabular}{ll}
\begin{tabular}{l}
Loan Payment, \$6,625 \\
18,400
\end{tabular} & Annual mileage, \\
Insurance, \$2,160 & Miles per gallon, 26 \\
\begin{tabular}{l}
Parking/Tolls, \$375 \\
fees, \$58
\end{tabular} & License/Registration
\end{tabular} Average gasoline price, $3.25 per gallon Oil Changes/Repairs, \$425
a. Calculate the total annual operating cost for this car.
b. Calculate the operating cost per mile. (round to 4 decimals)
Amazon.com, Inc. (AMZN) is one of the largest Internet retailers in the world. Best Buy, Co. Inc. (BBY) is a leading retailer of consumer electronics and media products in the United States. Amazon and Best Buy compete in similar markets; however, Best Buy sells through both traditional
stores and the Internet, while Amazon sells only through the Internet. Current asset and current liability information from recent financial statements are as follows (in millions):
Current assets:
Cash
Short-term investments
Amazon Best Buy
31,7501,980
Accounts receivable
9,500
16,677
1,015
Inventories
17,174 5,409
Other current assets
466
Total current assets
75,1018,870
Current liabilities:
Accounts payable
38,1925,257
Other current liabilities
30,199
2,256
Total current liabilities
68,3917,513
Required:
a. Compute working capital for each company.
Amazon: millionBestBuy:
million
b. Compute the current ratio for each company. Round your answers to one decimal place.
Amazon:
Best Buy:
c. Compute the quick ratio for each company. Round your answers to one decimal place.
Amazon:
Best Buy:
d. Can the working capital be usefully compared between the two companies? Which of the following statements is correct.
e. Which company has the greater debt-paying ability according to the current ratio?
f. Which company has the greater short-term debt-paying ability according to the quick ratio?
g. Why are the results different between (e) and (f)? (Hint: Perform a vertical analysis of the current assets.) Round your answers to one decimal place. If an amount is zero, enter "0".
Amazon Best Buy
Current assets:
Cash
%
%
Short-term investments
%
%
Accounts receivable
%
%
In the sport of American football, teams attempt to advance a ball towards a goal (end zone) by throwing (passing) the ball or by running with the ball (rushing). The position called running back is usually responsible for rushing. A college coach is evaluating two running backs by looking at the number of yards gained for each attempt in the last game. The following table shows the number of yards gained in each of the last 6 rushing attempts for the two players.
\begin{tabular}{|l|c|c|c|c|c|c|}
\hline & Rush \#1 & Rush \#2 & Rush 3 & Rush \#4 & Rush \#5 & Rush \#6 \\
\hline Player G & 0 & 1 & 5 & 0 & 6 & 3 \\
\hline Player T & -1 & 11 & 9 & 11 & 19 & 2 \\
\hline
\end{tabular} Question
6/10
What is the range of yards per rushing attempt for each player?
\begin{tabular}{|c|c|c|c|}
\hline & Average & Median & Range \\
\hline Player G & 2.5 & 2 & □ \\
\hline Player T & 8.5 & 10 & □ \\
\hline
\end{tabular}
5. An insurance agent sells insurance policies by making visits to her clients' homes. She believes that the number of sales should depend, to some degree, on the number of visits made. For the past several years, she kept careful records of the number of visits ( x ) she made each week and the number of people ( y ) who bought insurance that week. For a random sample of 15 such weeks, the x and y values are below:
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hlinex & 11 & 19 & 16 & 13 & 28 & 5 & 20 & 14 & 22 & 7 & 15 & 29 & 8 & 25 & 16 \\
\hliney & 3 & 11 & 8 & 5 & 8 & 2 & 5 & 6 & 8 & 3 & 5 & 10 & 6 & 10 & 7 \\
\hline
\end{tabular} Find the line of best fit using the calculator. Predict the number of sales if she visits 30 times in a week. Also find the correlation coefficient and the coefficient of determination. y=ax+by=.292x+1.62.292(30)+1.62=10.38
4. A recent survey asked 100 people if they thought women in the armed forces should be permitted to participate in combat. The results of the survey are shown below.
\begin{tabular}{|l|c|l|l|}
\hline Gender & Yes & No & Total \\
\hline Male & 32 & 18 & 50 \\
\hline Female & 8 & 42 & 50 \\
\hline Total & 40 & 60 & 100 \\
\hline
\end{tabular} Find the probability that:
a) The respondent answered yes, given that the respondent was a female.
b) The respondent was a male, given the respondent answered no.
c) The respondent was female, given that the respondent answered yes.
d) The respondent answered no, given that they were female. 5. If 25% of U.S. federal prisons inmates are not U.S. citizens, find the probability that 2 randomly selected inmates will not be U.S. citizens.
This question: 1 point(s) possible
Submit quiz Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal, Complete parts (a) and (b) below. Use a 0.05 significance level for both parts.
\begin{tabular}{|c|c|c|}
\hline & Diet & Regular \\
\hlineμ & μ1 & μ2 \\
\hline n & 24 & 24 \\
\hline xˉ & 0.79386 lb & 0.80841 lb \\
\hline s & 0.00441 lb & 0.00743 lb \\
\hline
\end{tabular} State the conclusion for the test.
A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the
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Complete the table shown to the right for the half-life of a certain radioactive substance.
\begin{tabular}{|l|l|}
\hline Half-Life & Decay Rate, k \\
\hline 3851 years & \\
\hline
\end{tabular}
k=□
(Round to six decimal places as needed.)
Suppose a firm produces cables for video games using workers according to the table and that its output sells for $2.00 per unit.
\begin{tabular}{cccc}
\hline Workers & Output & \begin{tabular}{c}
Marginal \\
Product
\end{tabular} & \begin{tabular}{c}
Value of the \\
Marginal \\
Product
\end{tabular} \\
\hline 0 & 0 & - & - \\
1 & 15 & 15 & 30 \\
2 & 27 & 12 & 24 \\
3 & 36 & 9 & 18 \\
4 & 42 & 6 & 12 \\
5 & 45 & 3 & 6 \\
\hline
\end{tabular} Derive the firm's labor demand curve.
Use the line drawing tool to draw the firm's labor demand curve. Label this line 'Demand'. Carefully follow the instructions above, and only draw the required objects.
The following data were gathered to use in reconciling the bank account of Dotson Company:
\begin{tabular}{lr}
Balance per bank & $17,980 \\
Balance per company records & 15,005 \\
Bank service charges & 85 \\
Deposit in transit & 2,650 \\
NSF check & 980 \\
Outstanding checks & 6,690
\end{tabular}
a. What is the adjusted balance on the bank reconciliation?
$13,940✓ Feedback:
* Check My Work
a. Set up two columns: one for the company cash account section and the other for the bank balance section. Determine the effect of the data on each column. Recall that when you are finished, the adjusted balances in the bank and company sections of the reconciliation must be equal. If not, an item has been overlooked or treated in error.
b. Journalize any necessary entries for Dotson Company based on the bank reconciliation. If an amount box does not require an entry, leave it blank.
This test: 25 point(s) possible
This question: 3 point(s) possible
Submit test A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete parts (a) and (b) below. Use a 005 significance level for both parts
\begin{tabular}{|c|c|c|}
\hline & \multicolumn{2}{|c|}{ Proctored } \\
\hlineμ & Nonproctored \\
\hlineμ & μ1 & μ2 \\
\hlinen & 35 & 33 \\
\hlinex & 76.44 & 83.08 \\
\hlines & 11.74 & 21.48 \\
\hline
\end{tabular}
D. Keject H0. Ihere is sufticient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests
b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
□□<μ1−μ2<
(Round to two decimal places as needed.)
Completed: 7 of 8
My score: 7.5/8 pts (93.75\%)
Part 2 of 2 Suppose a firm produces hardware that plays video games using workers according to the table below. Suppose also that its output sells for $100 per unit.
\begin{tabular}{cc}
\hline Workers & Output \\
\hline 0 & 0 \\
1 & 24 \\
2 & 36 \\
3 & 42 \\
4 & 45 \\
5 & 47 \\
\hline
\end{tabular} Is the firm experiencing the effects predicted by the law of diminishing returns?
The firm is experiencing diminishing returns.
What is the value of the marginal product of the third worker?
The third worker's value of the marginal product is $□. (Enter your response as an integer.)
\begin{tabular}{lll}
& Amazon & Netflix \\
\hline Total revenues (sales) & $280,522 & $20,156 \\
Total assets: & & \\
Beginning of year & 162,648 & 25,974 \\
End of year & 225,248 & 33,976
\end{tabular}
a. Which of these assets are used by Netflix, Inc. to generate revenue?
a. DVD content library
b. Distribution centers
c. Streaming content library
d. Manufacturing plant 1. a and b 2. a and c 3. a and d 4. b and c
b. Compute the asset turnover ratio for each company. Round to two decimal places.
Amazon
Netflix Asset turnover ratio □□
c. Which company generates sales from total assets more efficiently?
Part 3 of 8
HW Score: 50%,3 of 6 points
Points: 0 of 1
Save
those who imme
sample data
B. The response variable is the number of students. The explanatory variab
C. The response variable is the time to graduate. The explanatory variable is
D. The response variable is the use of community college or not. The explar
b) Explain why this study can be analyzed using inference of two sample means.
A. The samples can be reasonably assumed to be random.
B. The sample sizes are not more than 5% of the population.
C. The population is given to be normally distributed.
\begin{tabular}{|c|c|c|}
\hline & Community College Transfer & No Transfer \\
\hline Sample mean time & 265 & 1164 \\
\hline to graduate, in years & 5.38 & 4.45 \\
\hline Sample standard deviation time to graduate, in years & 1.147 & 1.021 \\
\hline
\end{tabular}
D. The sample sizes are large (both greater than or equal to 30 ).
E. The samples are independent.
Print
Done
c) Does the evidence suggest that community college transfer students take lo
Determine the null and alternative hypotheses.
B. H0:μcommunity college >μno transfer ,H1:μcommunity college <μno transfer
C. H0:μcommunity college =μno transfer ,H1:μcommunity college >μno transfer
D. H0:μcommunity college =μno transfer ,H1:μcommunity college <μno transfer
A wireless phone store has several smart phone models and sells them at various prices. The table shows some summary statistics for the prices of the smart phones it sells.
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline Minimum & Q1 & Median & Q3 & Maximum & Mean & \begin{tabular}{c}
Standard \\
Deviation
\end{tabular} \\
\hline 150 & 180 & 200 & 240 & 600 & 235 & 180 \\
\hline
\end{tabular} The cheapest smart phone priced at $150 goes on sale for $75. Describe how this new price will affect the following values: Range increases
□
IQR □ Select an answer Median □
Mean Select an answer
□
Standard Deviation □
Add Work
Here are the hottest recorded temperatures (in ∘F ) for eight cities throughout North America. Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of temperatures in that class.
(Note that we are using a class width of 5.)
\begin{tabular}{|cccc|}
\hline \multicolumn{4}{|c|}{\begin{tabular}{c}
Temperature \\
(in ∘F)
\end{tabular}} \\
\hline 113 & 113 & 103 & 110 \\
108 & 104 & 117 & 116 \\
\hline
\end{tabular}
\begin{tabular}{|c|}
\hline \begin{tabular}{c}
Temperature \\
(in ∘F )
\end{tabular} \\
\hline 103 to 107 \\
Frequency \\
108 to 112 \\
113 to 117 \\
\hline
\end{tabular}
Analyze and compare Amazon.com to Netflix Amazon.com, Inc. (AMZN) is one of the largest Internet retailers in the world. Netflix, Inc. (NFLX) provides digital streaming and DVD rentals in the United States. Amazon and Netflix compete in streaming and digital services; however, Amazon also sells many other products online. The cash, temporary investments, operating expenses, and depreciation expense from recent financial statements were reported as follows for both companies (in millions): Amazon Netflix
Balance sheet, end of year:
Cash
$36,09218,929 Short-term investments
Income statement:
Operating expenses
265,981 17,552 Depreciation expense
21,7899,320
a. Determine the days' cash on hand for Amazon and Netflix. Assume a 365-day year. If required, round all computations to one decimal place and use in subsequent calculations. Round final answers to one decimal place. Amazon
Netflix
Days' Cash on Hand □ days □ days
b. With regard to the cash on hand which of these statements is correct?
Use the following table comparing motor vehicle deaths (MVD) to answer parts (a) through (d) below.
\begin{tabular}{|c|c|c|c|c|}
\hline & MVD (2011) & \begin{tabular}{c}
MVD per \\
100,000 \\
people
\end{tabular} & \begin{tabular}{c}
MVD per \\
100,000 MV
\end{tabular} & \begin{tabular}{c}
MVD per \\
100 million \\
vehicle miles
\end{tabular} \\
\hline Country A & 1,607 & 3.76 & 5.8 & 0.60 \\
\hline Country B & 2,313 & 9.73 & 13.94 & 1.20 \\
\hline
\end{tabular}
(a) The 1,607 is giving the number of MVD in Country A for their entire population, while the 3.76 is a ratio giving 3.76 MVD : 100,000 people. Put this information into a ratio table to find the total population of Country A in 2011 . Solve for the total population.
\begin{tabular}{|c|c|}
\hline MVD (2011) & People \\
\hline 1,607 & x \\
\hline 3.76 & 100,000 \\
\hline
\end{tabular}
□ (Round to the nearest integer as needed.)
You return from a trip with 27,200 Japanese yen. How much are your yen worth in U.S. dollars? Use the exchange rate shown below.
\begin{tabular}{|c|c|c|}
\hline Currency & U.S. dollars per Japanese yen & Japanese yen per U.S. dollar \\
\hline Japanese yen & 0.009004 & 111.1 \\
\hline
\end{tabular} The 27,200 Japanese yen are equivalent to about \\square$
(Round to the nearest cent as needed.)
Find the range and standard deviation of the set of data.
8,11,8,11,11,13,15= The range is 7 .
(Simplify your answer.)
The standard deviation is □
(Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed.)
By examining the past driving records of drivers in a certain city, an insurance company has determined the (empirical) probabilities in the table to the right. Use the (empirical) probabilities to complete parts (A) and (B) below.
\begin{tabular}{|c|c|c|c|}
\hline \multirow[t]{2}{*}{} & \multicolumn{3}{|l|}{Miles Driven per Year} \\
\hline & Less Than 10,009M1 & \begin{tabular}{l}
10,000−15,000 \\
Inclusive,
M2
\end{tabular} & More Than 15,000, M3 \\
\hline Accident A & 0.10 & 0.20 & 0.20 \\
\hline No Accident A′ & 0.05 & 0.20 & 0.25 \\
\hline Totals & 0.15 & 0.40 & 0.45 \\
\hline
\end{tabular}
(A) Find the probability that a city driver selected at random drives more than 15,000 miles per year or has an accident. The probability is 0.75 .
(Type an integer or a decimal.)
(B) Find the probability that a city driver selected at random drives 15,000 or fewer miles per year and has an accident. The probability is □
(Type an integer or a decimal.)
The following table shows the distance from Tessa's house to her favorite locations.
\begin{tabular}{lcccc}
Location & School & Library & Park & Movie theater \\
\hline Distance from Tessa's house (in kilometers) & 3 & 5 & 4 & 4
\end{tabular} Find the mean distance.
□ km
Some measurements of the initial rate of a certain reaction are given in the table below.
\begin{tabular}{|c|c|c|}
\hline[N2] & {[H2]} & initial rate of reaction \\
\hline 0.579 M & 1.51 M & 10.0M/s \\
\hline 2.70 M & 1.51 M & 46.6M/s \\
\hline 0.579 M & 0.595 M & 1.55M/s \\
\hline
\end{tabular} Use this information to write a rate law for this reaction, and calculate the value of the rate constant k.
Round your value for the rate constant to 2 significant digits. Also be sure your answer has the correct unit symbol.
□
rate =k□×10□□□
- □
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LARAPCALC10 5.1. Find the profit function for the given marginal profit and initial condition.
\begin{tabular}{|c|c|}
\hline Marginal Profit & Initial Condition \\
\hlinedxdP=−30x+270 & P(5)=$630 \\
\hline
\end{tabular}
P(x)=□
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\begin{tabular}{|l|l|l|}
\hline First Question: & Grade & 30 \\
\hline
\end{tabular} The manager of a pizza- delivery company wants to advertise how fast they can deliver an order to a customer. From her records, she selects 12 delivery distance, 2, 5, 8, and 15 Km , with three deliveries at each distance. She records, for each delivery, the time (in minutes) it takes to carry the pizza from the company store to the customer. The resulting data are shown in table:
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline Distance & 2 & 2 & 2 & 5 & 5 & 5 & 10 & 10 & 10 & 15 & 15 & 15 \\
\hline Time & 10.2 & 14.6 & 18.2 & 20.1 & 22.4 & 30.6 & 30.8 & 35.4 & 50.6 & 60.1 & 68.4 & 72.1 \\
\hline
\end{tabular}
(1) Find the Least Square Regression Line for this relationship?
(2) How long do you expect it to take for this company to deliver a pizza to an address that is exactly 8 km from the store?
(3) What is the best estimate of the variance?
(4) Find the standard deviation of the point estimates of β^0 ?
(5) Find the standard deviation of the point estimates of β^1 ?
(6) Test H0:β1=0 vs H1:β1>0, at α=0.05 ?
(7) Test H0:β0=0 vs H1:β0=0, at α=0.05 ?
(8) Calculate the coefficient of correlation between these two variables?
(9)Test H0:ρ=0 vs H1:ρ=0, at α=0.05 ?
Use the selected values of a linear function g(x) in the table and the equation h(x) shown below to evaluate (g∘h)(−3).
\begin{tabular}{|c|c|}
\hlinex & g(x) \\
\hline-3 & -5 \\
\hline-1 & -1 \\
\hline 0 & 1 \\
\hline 4 & 9 \\
\hline
\end{tabular}
h(x)=x2−2
Question 1-7 Use the selected values of a linear function g(x) in the table and the equation h(x) shown below to evaluate (g∘h)(−3).
\begin{tabular}{|c|c|}
\hlinex & g(x) \\
\hline-3 & -5 \\
\hline-1 & -1 \\
\hline 0 & 1 \\
\hline 4 & 9 \\
\hline
\end{tabular}
h(x)=x2−2−22
All Booknarks A survey stopped men and women at random to ask them where they purchased groceries, at a local grocery store or online.
- 14 men said they shopped online.
- 43 men were surveyed.
- 64 total people said they shopped at a local grocery store.
- 98 total people were surveyed. Fill in the missing values in the table below. Grocery Options
\begin{tabular}{|r|c|c|c|}
\hline & Store & Online & Total \\
\hline Women & □ & □ & □ \\
\hline Men & □ & □ & □ \\
\hline & □ & □ & □ \\
\hline
\end{tabular}
Find a simplified formula for the power function whose values are represented in the table below.
\begin{tabular}{|c|c|c|c|c|}
\hlinex= & 2 & 3 & 4 & 5 \\
\hlinef(x)= & 32 & 108 & 256 & 500 \\
\hline
\end{tabular}
f(x)=□ help (formulas)
For any integer n, which of the following are always
a) two consecutive even numbers?
b) two consecutive odd numbers?
\begin{tabular}{|c|c|c|}
\hlinen and n+2 & n−1 and n+1 & 2n and 2n+2 \\
\hline 2n and 2n+1 & 2n−1 and 2n+1 & 2n+1 and 2n+2 \\
\hline
\end{tabular}
ion list Use the 2021 marginal tax rates to compute the tax owed by the following individual.
married filing separately with a taxable income of \$122,000
stion 11
(i) Click the icon to view the 2021 marginal tax rates. 2021 Marginal Tax Rates
\begin{tabular}{|l|c|c|c|c|}
\hline \multicolumn{1}{|c|}{ 2021 Marginal Tax Rates and Standard Deductions } \\
\hline & \begin{tabular}{c}
Unmarried, \\
divorced, or \\
legally separated
\end{tabular} & \begin{tabular}{c}
Married and each \\
partner files a \\
separate tax return
\end{tabular} & \begin{tabular}{c}
Married and both \\
partners file a \\
single tax return
\end{tabular} & \begin{tabular}{c}
Unmarried and paying more \\
than half the cost of \\
supporting a child or parent
\end{tabular} \\
\hline Tax Rate & \multicolumn{1}{|c|}{ Single } & \begin{tabular}{c}
Married Filing \\
Separately
\end{tabular} & \begin{tabular}{c}
Married \\
Filing Jointly
\end{tabular} & \multicolumn{1}{c|}{\begin{tabular}{c}
Head of \\
Household
\end{tabular}} \\
\hline 10% & up to $9950 & up to $9950 & up to $19,900 & up to $14,200 \\
\hline 12% & $9951 to $40,525 & $9951 to $40,525 & $19,901 to $81,050 & $14,201 to $54,200 \\
\hline 22% & $40,526 to $$86,375 & $40,526 to $86,375 & $81,051 to $172,750 & $54,201 to $86,350 \\
\hline 24% & $86,376 to $164,925 & $86,376 to $164,925 & $172,751 to $329,850 & $86,351 to $164,900 \\
\hline 32% & $164,926 to $209,425 & $164,926 to $209,425 & $329,851 to $418,850 & $164,901 to $209,400 \\
\hline 35% & $209,426 to $523,600 & $209,426 to $314,150 & $418,851 to $628,300 & $209,401 to $523,600 \\
\hline 37% & more than $523,600 & more than $314,150 & more than $628,300 & more than $523,600 \\
\hline \begin{tabular}{l}
Standard \\
Deduction
\end{tabular} & $12,550 & & & \\
\hline
\end{tabular}
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 2". Let B be the event "the outcome is prime". Find P(A∣B).
\begin{tabular}{|c|c|}
\hline Outcome & Probability \\
\hline 1 & 0.3 \\
\hline 2 & 0.4 \\
\hline 3 & 0.1 \\
\hline 4 & 0.2 \\
\hline
\end{tabular}
□
13. A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs? In an actual experiment, 100 consumers were asked to pick the design they preferred. The following data were obtained. Do the data confirm the belief that one design is just as likely to be selected as another? Explain.
\begin{tabular}{cc}
Design & \begin{tabular}{c}
Number of \\
Times Preferred
\end{tabular} \\
1 & 5 \\
2 & 15 \\
3 & 30 \\
4 & 40 \\
5 & 10
\end{tabular}
For problems 1 to 4, state the most likely hypothesis and compute both a Pearson correlation coefficient and a Spearman correlation coefficient. For problems 1 and 2, perform the computations for all problems both by hand and using SPSS. For problems 3 and 4, use SPSS only. In each case, consider which test, Pearson or Spearman, is the more appropriate choice. 1. An HMO administrator wants to examine the relationship of self-rated health to the number of physician visits made in 1 year. The self-rated health is rated on a scale of 1 to 5 , where 1= poor health and 5= excellent health; the number of physician visits made in the past year is shown in the table below: Patient ID
Self-Rated Health
No. of Physician Visits in the Past Year
\begin{tabular}{lll}
\hline & the Past Year \\
\hline 1 & 5 & 2 \\
\hline 3 & 4 & 1 \\
\hline 4 & 4 & 2 \\
\hline 5 & 5 & 3 \\
\hline 6 & 4 & 3 \\
\hline 7 & 3 & 4 \\
\hline 8 & 3 & 4 \\
\hline 9 & 4 & 4 \\
\hline 10 & 2 & 5 \\
\hline 11 & 2 & 5 \\
\hline 12 & 3 & 5 \\
\hline
\end{tabular}
Use the table to determine if f is one-to-one.
\begin{tabular}{|r|l|l|l|l|}
\hlinex & -3 & -6 & -5 & -2 \\
\hlinef(x) & -2 & -4 & -2 & -1 \\
\hline
\end{tabular} Is f one-to-one?
No
Yes
An auto transmission manufacturer receives ball bearings from two different suppliers. The ball bearings must have a specified diameter of 16.30 mm with a tolerance of ±0.1mm. Recent shipments from the two suppliers had ball bearings with the following diameters. Complete parts (a) through (c).
\begin{tabular}{llllllll}
Supplier A: & 16.22 & 16.27 & 16.32 & 16.34 & 16.36 & 16.42 & 16.45 \\
Supplier B: & 16.18 & 16.21 & 16.24 & 16.34 & 16.39 & 16.43 & 16.45
\end{tabular}
a. Find the mean and standard deviation for each of the two data sets Find the mean and standard deviation for the diameters of the ball bearings from Supplier A
mean =□s=□
(Round to the nearest hundredth as needed.)
Get an education: A survey asked 32,126 people how much confidence they had in educational institutions. The results were as follows. Round your answers to four decimal places if necessary.
\begin{tabular}{lr}
\hline \multicolumn{1}{c}{ Response } & Number \\
\hline A great deal & 10,022 \\
Some & 17,813 \\
Hardly any & 4291 \\
\hline Total & 32,126
\end{tabular}
Send data to Excel Part 1 of 3
(a) What is the probability that a sampled person has either a great deal or hardly any confidence in educational institutions? The probability that a sampled person has either a great deal or hardly any confidence in educational institutions is 0.4455 . Part: 1 / 3 Part 2 of 3
(b) Assume this is a simple random sample from a population. Use the Empirical Method to estimate the probability that a person has hardly any confidence in educational institutions. Using the Empirical Method the probability is approximately □ .
A car starts moving at time t=0 and goes faster and faster. Its velocity is shown in the following table. Estimate how far the car travels during the 12 seconds.
\begin{tabular}{c|c|c|c|c|c}
\hlinet (seconds) & 0 & 3 & 6 & 9 & 12 \\
\hline \begin{tabular}{c}
Velocity \\
(ft/sec)
\end{tabular} & 0 & 12 & 27 & 48 & 79 \\
\hline
\end{tabular} An underestimate for the distance traveled =□ An overestimate for the distance traveled = □ A better estimate is the average of the above: Distance traveled ≈□
Quality control: A population of 598 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a thickness specification, with the results shown in the following table. A wafer is chosen at random from the population. Write your answer as a fraction or a decimal, rounded to four decimal places.
\begin{tabular}{ccc}
\hline Lot & Conforming & Nonconforming \\
\hline A & 92 & 11 \\
B & 160 & 32 \\
C & 257 & 46 \\
\hline
\end{tabular}
Send data to Excel
(a) What is the probability that the wafer is from Lot A?
(b) What is the probability that the wafer is conforming?
(c) What is the probability that the wafer is from Lot A and Is conforming?
(d) Given that the wafer is from Lot A, what is the probability that it is conforming?
(e) Given that the wafer is conforming, what is the probability that it is from Lot A?
(f) Let E1 be the event that the wafer comes from Lot A, and let E2 be the event that the wafer is conforming. Are E1 and E2 independent? Part 1 of 6 The probability that the wafer is from Lot A is 0.1722 . Part 2 of 6 The probability that the wafer is conforming is 0.8502 . Part 3 of 6 The probability that the wafer is from Lot A and is conforming is 0.1538 . Part 4 of 6 The probability that the wafer is conforming given that it is from Lot A is 0.8932 . Part: 4/6 Part 5 of 6 The probability that the wafer is from Lot A given that it is conforming is □
A scientist keeps track of bacteria cells. She starts with 1 cell. After one hour, there are 2 cells. The number of cells continues to double in each of the following hours. Complete the table to show the total number of cells after 4 hours.
\begin{tabular}{|c|c|c|}
\hline Hour & Expression & Number of Cells \\
\hline 1 & 2 & 2 \\
\hline 2 & 2⋅2 & 4 \\
\hline 3 & 2⋅2⋅2 & 8 \\
\hline 4 & 2⋅2⋅2⋅2 & \\
\hline
\end{tabular} Hour 1 Hour 2 Hour 3
iReody
Numerical Expressions with Exponents - Instruction - Level F A scientist keeps track of bacteria cells. She starts with 1 cell. After one hour, there are 2 cells.
The number of cells continues to double in each of the following hours.
\begin{tabular}{|c|c|c|}
\hline Hour & Expression & Number of Cells \\
\hline 1 & 2 & 2 \\
\hline 2 & 2⋅2 & 4 \\
\hline 3 & 2⋅2⋅2 & 8 \\
\hline 4 & 2⋅2⋅2⋅2 & 16 \\
\hline
\end{tabular} Hour 1 Hour 2 Hour 3 Hour 4 Complete the statements.
The number of cells increases by a factor
of 2 After 4 hours, the number 2 is used as a
factor □ times.
\begin{tabular}{|c|c|c|c|}
\hline & \multicolumn{2}{|c|}{⋯} & x \\
\hline 7 & 8 & 9 & x \\
\hline 4 & 5 & 6 & - \\
\hline 1 & 2 & 3 & - \\
\hline 0 & & (−) & \\
\hline
\end{tabular}
i-Ready
Numerical Expressions with Exponents - Instruction - Level F A scientist keeps track of bacteria cells. She starts with 1 cell. After one hour, there are 2 cells. The number of cells continues to double in each of the following hours. Complete the table to show the total number of cells after 5 hours.
\begin{tabular}{|c|c|c|c|}
\hline Hour & Expression & Power & Number of Cells \\
\hline 1 & 2 & 21 & 2 \\
\hline 2 & 2⋅2 & 22 & 4 \\
\hline 3 & 2⋅2⋅2 & 23 & 8 \\
\hline 4 & 2⋅2⋅2⋅2 & 24 & 16 \\
\hline 5 & 2⋅2⋅2⋅2⋅2− & 25 & \\
\hline
\end{tabular}
A survey of 10 adults employed full-time was taken. Here are their reported numbers of hours worked per week.
50,53,55,57,53,48,57,40,57,53 Send data to calculator
\begin{tabular}{|l|l|}
\hline (a) What is the mean of this data set? If your answer is not an \\
integer, round your answer to one decimal place.
\end{tabular}□
VALUATE Independent Practice
\begin{tabular}{l|l|}
\hline earning Goal & Lesson Reflection (circle one) \\
\hline \begin{tabular}{l}
I can determine if a relation is a function. I can \\
represent a function using a graph and table.
\end{tabular} & Starting... Getting There... Got it! \\
\hline
\end{tabular}
Complete the previous problems, check your solutions, then complete the Lesson Checkpoint below.
Complete the Lesson Reflection above by circling your current understanding of the Learning Goal(s). 1. Determine whether each table represents a function. Select Function or Not a Function for each. Table
Function
Not a Function
\begin{tabular}{|c|c|c|c|c|}
\hlinex & 2 & 3 & 4 & 5 \\
\hliney & -3 & -3 & -3 & -4 \\
\hline
\end{tabular}
\begin{tabular}{|c|c|c|c|c|}
\hlinex & -1 & -1 & -1 & -1 \\
\hliney & 2 & 3 & 4 & 5 \\
\hline
\end{tabular}
\begin{tabular}{|c|c|c|c|c|}
\hlinex & -6 & -4 & -3 & -2 \\
\hliney & -11 & -11 & 10 & 15 \\
\hline
\end{tabular}
\begin{tabular}{|c|c|c|c|c|}
\hlinex & -6 & 0 & 1 & -6 \\
\hliney & 5 & 2 & 12 & 9 \\
\hline
\end{tabular} 2. Which of the following could be a function? Select two that apply
(a) Kenworth Electrical specialises in wiring new houses. The monthly wages of all Kenworth Electrical employees are summarised in the frequency table below.
\begin{tabular}{|c|c|}
\hline Monthly wage, £x & Frequency \\
\hline 1800⩽x<2000 & 64 \\
\hline 2000⩽x<2100 & 50 \\
\hline 2100⩽x<2400 & 2 \\
\hline 2400⩽x<5800 & 0 \\
\hline 5800⩽x<7800 & 4 \\
\hline
\end{tabular}
i) Estimate the mean
ii) Which group contains the median
iii) Write down the modal group
Part 1 of 2 The table shows the maximum recommended viewing dstances y, in feet, for an HDNV with screen size x, in inches. What trend line models the data shown in the table? What doees the slope of the trend line represenc?
\begin{tabular}{|c|c|c|c|c|c|}
\hline x & 40 & 43 & 50 & 55 & 60 \\
\hliney & 8.3 & 9 & 10.4 & 11.5 & 125 \\
\hline
\end{tabular} Which of the following is an equation of a trend line that models the data?
A. y=−0.2x−0.5
B. y=0.2x
C. y=0.5
D. y=0.2x−0.5
E. y=−0.5
F. y=−0.2x
G. y=−0.2x+0.5
H. y=0.2x+0.5
Video
Textbook
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Review Progress
a) What number is missing from the frequency column for history?
b) Draw the tally to show the number of people who chose English. Favourite subject
\begin{tabular}{|c|c|c|}
\hline Subject & Tally & Frequency \\
\hline History & H H H III & \\
\hline Geography & H ||||| & 9 \\
\hline English & & 12 \\
\hline
\end{tabular}
Based only on the analysis result here, what is the true nature of the relationship between English Score and Math Score? Correlations
\begin{tabular}{llr|r}
& & EnglishScore & MathScore \\
\hline \multirow{3}{*}{ EnglishScore } & Pearson Correlation & 1 & .294∗ \\
\cline { 2 - 4 } & Sig. (2-tailed) & & .029 \\
\cline { 2 - 4 } MathScore & N & 55 & 55 \\
\cline { 2 - 4 } & Pearson Correlation & .294∗ & 1 \\
\hline & Sig. (2-tailed) & .029 & \\
\cline { 2 - 4 } & N & 55 & 55 \\
\hline
\end{tabular}
*. Correlation is significant at the 0.05 level (2-tailed).
English ability significantly enhances math test performance.
A generally high level of cognitive function enhances both english test scores and the math test scores.
It's not possible to know the exact nature of the relationship based when one is only given the results of an analysis.
Math ability significantly enhances English test performance.
```latex
The accompanying table lists distances (mm) between pupils of randomly selected U.S. Army personnel collected as part of a large reputable study. Results from two-way analysis of variance. Use the displayed results and use a 0.05 significance level. What do you conclude? Click the icon to view the data and two-way analysis of variance results. D. Fail to reject H0. There is insufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness. If appropriate, test for an effect from the row factor. Choose the correct answer below. A. H0 : Left-handed people and right-handed people have the same population mean distance between pupils. H1 : Left-handed people and right-handed people have different population mean distances between pupils. B. H0 : Men and women have different population mean distances between pupils. H1 : Men and women have the same population mean distance between pupils. C. H0 : Left-handed people and right-handed people have different population mean distances between pupils. H1 : Left-handed people and right-handed people have the same population mean distance between pupils. D. H0 : Men and women have the same population mean distance between pupils. H1 : Men and women have different population mean distances between pupils. E. This test is not appropriate due to the results of the test for interaction between the two factors. The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions. Dialogue Transcript: Hello! It looks like you have a two-way analysis of variance (ANOVA) problem here involving gender and handedness as factors. However, I need a bit more information to assist you properly. Could you please provide the specific results from the two-way ANOVA, such as the p-values for the main effects and interactions? Additionally, let me know if there is anything else specific you'd like help with regarding this problem. Feel free to type out any important details that might help me understand the context better! Extracted text from attached image: Data and Two-Way ANOVA Results \begin{tabular}{l|c|c}
\hline & \text{Right-Handed} & \text{Left-Handed} \\
\hline \text{Female} & 6663596056 & 7162616962 \\
\hline \text{Male} & 6764666971 & 6767656864 \\
\hline
\end{tabular} \begin{tabular}{|lllllll|}
\hline \text{Source:} & \text{DF:} & \text{SS:} & \text{MS:} & \text{Test Stat, F:} & \text{Critical F:} & \text{P-Value:} \\
\text{Interaction:} & 1 & 36.45 & 36.45 & 3.15584 & 4.49401 & 0.09467 \\
\text{Row Variable:} & 1 & 76.05 & 76.05 & 6.58442 & 4.49401 & 0.02072 \\
\text{Column Variable:} & 1 & 11.25 & 11.25 & 0.97403 & 4.49401 & 0.33837 \\
\hline
\end{tabular}
```
\begin{tabular}{|l|l|l|}
\hline & Adults & Children \\
\hline Dayl & 310 & 720 \\
\hline Day2 & 720 & 130 \\
\hline Day3 & 120 & 170 \\
\hline Day4 & 210 & 211 \\
\hline
\end{tabular} The table above shows the number of tickets sc during four days as shown above, adult ticket costs 12$, Child ticket cost 7.5 . What is the tot amount during the four days?
Are the snow conditions a factor in the number of visitors at a ski resort? The table below shows data that was collected.
\begin{tabular}{|c|c|c|}
\hline Hard Packed & Machine Made & Powder \\
\hline 1368 & 1804 & 1840 \\
\hline 1347 & 1552 & 1945 \\
\hline 2099 & 1676 & 1834 \\
\hline 2010 & 1945 & 1924 \\
\hline 2108 & 1810 & 2132 \\
\hline 1884 & 1571 & 1884 \\
\hline 1693 & 1534 & 1904 \\
\hline 1243 & 1006 & 1828 \\
\hline 2308 & & 2828 \\
\hline
\end{tabular} Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.05.
H0:μ1=μ2=μ3H1 : At least two of the means differ from each other. 1. For this study, we should use Select an answer
□ 2. The test-statistic for this data = □ (Please show your answer to 3 decimal places.) 3. The p-value for this sample =□ (Please show your answer to 4 decimal places.) 4. The p-value is Select an answer
□α 5. Base on this, we should Select an answer
sion is that... 6. As such, the final conclusion is that...
(0) hypothesis
There is sufficient evidence to support the claim that snow conditions is a factor in the number of visitors at a ski resort.
There is insufficient evidence to support the claim that snow conditions is a factor in the number of visitors at a ski resort.