Problem
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)
Solution
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.
