10. The mean life of a certain tire brand is 47,500 miles with standard deviation of 3,600 miles. a. Calculate the z- score for the life span of a tire that lasted 52,251 miles and 36,750 miles. b. Assume that the life span of tires is normally distributed. Find the interval of the life span of tires that lies within 2 standard deviations of the mean. c. Is a tire life span of 67,251 miles unusual?

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10. The mean life of a certain tire brand is 47,500 miles with standard
deviation of 3,600 miles.
a. Calculate the z- score for the life span of a tire that lasted 52,251
miles and 36,750 miles.
b. Assume that the life span of tires is normally distributed. Find the
interval of the life span of tires that lies within 2 standard deviations
of the mean.
c. Is a tire life span of 67,251 miles unusual?
d. Assume that the life span of tires is not normally distributed. Find
the interval and the percentage of data of the life span of tires that
lies within 4 standard deviations of the mean.
Transcribed Image Text:10. The mean life of a certain tire brand is 47,500 miles with standard deviation of 3,600 miles. a. Calculate the z- score for the life span of a tire that lasted 52,251 miles and 36,750 miles. b. Assume that the life span of tires is normally distributed. Find the interval of the life span of tires that lies within 2 standard deviations of the mean. c. Is a tire life span of 67,251 miles unusual? d. Assume that the life span of tires is not normally distributed. Find the interval and the percentage of data of the life span of tires that lies within 4 standard deviations of the mean.
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