You work for a consumer watchdog publication and are testing the advertising claims of a tire manufacturer. The manufacturer claims that the life spans of the tires are 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 spans. Complete parts (a) through (c) below.
\[
\begin{array}{llllllll}
47,856 & 40,737 & 26,060 & 36,603 & 33,331 & 42,290 & 42,924 & 38,138 \\
24,502 & 31,108 & 37,189 & 35,990 & 29,197 & 34,017 & 37,223 & 44,552
\end{array}
\]
(a) Draw a frequency histogram to display these data. Use five classes. Choose the correct answer below.
A.
B.
Distance (in miles)
C.
Life spans of tires
Distance (in miles)
Answer
The final answer is the frequency histogram which shows the distribution of the life spans of the tires.
Step 1 ：Create a frequency histogram of the data to visualize the distribution of the tire life spans. Use five classes (bins) as specified in the question.
Step 2 ：The x-axis will represent the distance in miles and the y-axis will represent the frequency of each class.
Step 3 ：The histogram will help to visualize the distribution of the tire life spans and to verify the manufacturer's claim that the life spans are normally distributed.
Step 4 ：The final answer is the frequency histogram which shows the distribution of the life spans of the tires.
