Math / Data & Statistics

QuestionThe heart rate of runners during a long distance race is approximately normal. The table below shows the heart rates of a random sample of 9 such runners. Find the point estimate. $\begin{array}{lllllllll} 116 & 122 & 106 & 132 & 126 & 149 & 109 & 145 & 134 \end{array}$ $\square$ (round to 1 decimal place)

Studdy Solution

STEP 1

1. The heart rates provided are from a random sample of 9 runners.
2. The point estimate for the mean heart rate is the sample mean.

STEP 2

1. Sum the heart rates.
2. Calculate the sample mean.
3. Round the sample mean to one decimal place.

STEP 3

List the heart rates:
$116, 122, 106, 132, 126, 149, 109, 145, 134$

STEP 4

Sum the heart rates:
$116 + 122 + 106 + 132 + 126 + 149 + 109 + 145 + 134 = 1,139$

STEP 5

Calculate the sample mean by dividing the sum by the number of data points (9):
$\frac{1,139}{9} = 126.5555\ldots$

STEP 6

Round the sample mean to one decimal place:
$126.6$
The point estimate for the mean heart rate is:
$\boxed{126.6}$

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Studdy Solution

STEP 1

1. The heart rates provided are from a random sample of 9 runners.
2. The point estimate for the mean heart rate is the sample mean.

STEP 2

1. Sum the heart rates.
2. Calculate the sample mean.
3. Round the sample mean to one decimal place.

STEP 3

List the heart rates:
$116, 122, 106, 132, 126, 149, 109, 145, 134$

STEP 4

Sum the heart rates:
$116 + 122 + 106 + 132 + 126 + 149 + 109 + 145 + 134 = 1,139$

STEP 5

Calculate the sample mean by dividing the sum by the number of data points (9):
$\frac{1,139}{9} = 126.5555\ldots$

STEP 6

Round the sample mean to one decimal place:
$126.6$
The point estimate for the mean heart rate is:
$\boxed{126.6}$

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Studdy Solution

STEP 1

1. The heart rates provided are from a random sample of 9 runners.2. The point estimate for the mean heart rate is the sample mean.

STEP 2

1. Sum the heart rates.2. Calculate the sample mean.3. Round the sample mean to one decimal place.

STEP 3

List the heart rates:116,122,106,132,126,149,109,145,134 116, 122, 106, 132, 126, 149, 109, 145, 134 116,122,106,132,126,149,109,145,134

STEP 4

Sum the heart rates:116+122+106+132+126+149+109+145+134=1,139 116 + 122 + 106 + 132 + 126 + 149 + 109 + 145 + 134 = 1,139 116+122+106+132+126+149+109+145+134=1,139

STEP 5

Calculate the sample mean by dividing the sum by the number of data points (9):1,1399=126.5555… \frac{1,139}{9} = 126.5555\ldots 91,139​=126.5555…

STEP 6

Round the sample mean to one decimal place:126.6 126.6 126.6 The point estimate for the mean heart rate is:126.6 \boxed{126.6} 126.6​

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. The heart rates provided are from a random sample of 9 runners.
2. The point estimate for the mean heart rate is the sample mean.

1. Sum the heart rates.
2. Calculate the sample mean.
3. Round the sample mean to one decimal place.

List the heart rates:
$116, 122, 106, 132, 126, 149, 109, 145, 134$

Sum the heart rates:
$116 + 122 + 106 + 132 + 126 + 149 + 109 + 145 + 134 = 1,139$

Calculate the sample mean by dividing the sum by the number of data points (9):
$\frac{1,139}{9} = 126.5555\ldots$

Round the sample mean to one decimal place:
$126.6$
The point estimate for the mean heart rate is:
$\boxed{126.6}$