IA Ex. 17.14
A random sample of 69 Porsche drivers were asked how many miles they had
driven their vehicle in the past calendar year. A frequency table for
the data is given below:
Number of Miles Observed Frequency
0 < x 4000 20
4000 < x 8000 22
8000 < x 12,000 14
12,000 < x 16,000 6
16,000 < x 20,000 1
20,000 < x 24,000 4
24,000 < x 28,000 0
28,000 < x 32,000 2
Statistics Homework Solutions
#10911
Chi-square, frequencies
a). Set up the hypotheses to test whether the number of miles driven by Porsche drivers is normally distributed with a mean of 7500 miles with a standard deviation of 6500 miles.
b). Find the expected frequencies for each cell.
c). Calculate the chi-square test statistic. If necessary, collapse cells so that the expected frequency for each category is at least 5.
d). At the 0.05 level of significance, what can you conclude about the number of miles driven annually by Porsche drivers?
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