A certain brand of automobile tire has a mean life span of 31,000 miles and a standard deviation of 2,100 miles. (Assume the life spans of the tires have a bell-shaped distribution.) (a) The life spans three randomly selected tires are 35,000 miles, 37,000 miles, and 32,000 miles. Find the z-score that corresponds each life span. For the life span of 35,000 miles, z-score is 11. (Round to the nearest hundredth as needed.) For the life span of 37,000 miles, z-score is (Round to the nearest hundredth as needed.) For the life span of 32,000 miles, z-score is. (Round to the nearest hundredth as needed.) According to the z-scores, would the life spans of any of these tires be considered unusual? O No O Yes (b) The life spans of three randomly selected tires are 28,900 miles, 33,100 miles, and 31,000 miles. Using the empirical rule, find the percentile that corresponds to each life span. The life span 28,900 miles corresponds to a percentile of The life span 33,100 miles corresponds to a percentile of The life span 31,000 miles corresponds to a percentile of (Round to the nearest whole number as needed.)
A certain brand of automobile tire has a mean life span of 31,000 miles and a standard deviation of 2,100 miles. (Assume the life spans of the tires have a bell-shaped distribution.) (a) The life spans three randomly selected tires are 35,000 miles, 37,000 miles, and 32,000 miles. Find the z-score that corresponds each life span. For the life span of 35,000 miles, z-score is 11. (Round to the nearest hundredth as needed.) For the life span of 37,000 miles, z-score is (Round to the nearest hundredth as needed.) For the life span of 32,000 miles, z-score is. (Round to the nearest hundredth as needed.) According to the z-scores, would the life spans of any of these tires be considered unusual? O No O Yes (b) The life spans of three randomly selected tires are 28,900 miles, 33,100 miles, and 31,000 miles. Using the empirical rule, find the percentile that corresponds to each life span. The life span 28,900 miles corresponds to a percentile of The life span 33,100 miles corresponds to a percentile of The life span 31,000 miles corresponds to a percentile of (Round to the nearest whole number as needed.)
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Transcribed Image Text:A certain brand of automobile tire has a mean life span of 31,000 miles and a standard deviation of 2,100 miles. (Assume the life spans of the tires have a bell-shaped distribution.)
(a) The life spans of three randomly selected tires are 35,000 miles, 37,000 miles, and 32,000 miles. Find the z-score that corresponds to each life span.
For the life span of 35,000 miles, z-score is 11
(Round to the nearest hundredth as needed.)
For the life span of 37,000 miles, z-score is
(Round to the nearest hundredth as needed.)
For the life span of 32,000 miles, z-score is
(Round to the nearest hundredth as needed.)
According to the z-scores, would the life spans of any of these tires be considered unusual?
No
Yes
(b) The life spans of three randomly selected tires are 28,900 miles, 33,100 miles, and 31,000 miles. Using the empirical rule, find the percentile that corresponds to each life span.
The life span 28,900 miles corresponds to a percentile of
The life span 33,100 miles corresponds to a percentile of
The life span 31,000 miles corresponds to a percentile of
(Round to the nearest whole number as needed.)
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