QuestionYou work for a consumer watchdog publication and are testing the advertising claims of a tire manufacturer. The manufacturer claims th normally distributed, with a mean of 40,000 miles and a standard deviation of 7500 miles. You test 16 tires and get the following life spar
\begin{tabular}{llllllll}
48,363 & 39,091 & 24,794 & 36,299 & 30,068 & 40,606 & 40,514 & 35,085 \\
24,654 & 33,554 & 36,128 & 36,278 & 30,630 & 38,308 & 35,665 & 47,237
\end{tabular}
Life spans of tires
Life spans of tires
Distance (in miles)
Dystance (it miles)
Distance
Is it reasonable to assume that the life spans are normally distributed? Why? Choose the correct answer below.
A. No, because the histogram is neither symmetric nor bell-shaped.
B. Yes, because the histogram is symmetric and bell-shaped.
C. No, because the histogram is symmetric and bell-shaped.
D. Yes, because the histogram is neither symmetric nor bell-shaped
Studdy Solution
STEP 1
1. The life spans of the tires are given in miles.
2. We are provided with two histograms to analyze the distribution of the tire life spans.
3. The normal distribution is characterized by a symmetric, bell-shaped curve.
STEP 2
1. Analyze the given histograms.
2. Determine if the distribution is symmetric and bell-shaped.
3. Choose the correct answer based on the histogram analysis.
STEP 3
Examine the first histogram. It is described as skewed to the left.
STEP 4
Examine the second histogram. It is described as more symmetric and bell-shaped.
STEP 5
Determine if the distribution is symmetric and bell-shaped. The second histogram fits this description.
STEP 6
Choose the correct answer based on the histogram analysis. Since the second histogram is symmetric and bell-shaped, it is reasonable to assume that the life spans are normally distributed.
The correct answer is:
B. Yes, because the histogram is symmetric and bell-shaped.
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