A certain brand of automobile tire has a mean life span of 35,000 miles and a standard deviation of 2,250 miles. (Assume the life spans of the tires have a bell-shaped distribution.) (a) The life spans of three randomly selected tires are 34,000 miles, 38,000 miles, and 31,000 miles. Find the z-score that corresponds to each life span. For the life span of 34,000 miles, z-score is (Round to the nearest hundredth as needed.) For the life span of 38,000 miles, z-score is (Round to the nearest hundredth as needed.) For the life span of 31,000 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

MATLAB: An Introduction with Applications
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(b) The life spans of three randomly selected tires are 30,500 miles, 39,500 miles, and 35,000 miles. Using
the empirical rule, find the percentile that corresponds to each life span.
The life span 30,500 miles corresponds to a percentile of
The life span 39,500 miles corresponds to a percentile of
The life span 35,000 miles corresponds to a percentile of
(Round to the nearest whole number as needed.)
Transcribed Image Text:(b) The life spans of three randomly selected tires are 30,500 miles, 39,500 miles, and 35,000 miles. Using the empirical rule, find the percentile that corresponds to each life span. The life span 30,500 miles corresponds to a percentile of The life span 39,500 miles corresponds to a percentile of The life span 35,000 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 35,000 miles and a standard deviation of 2,250
miles. (Assume the life spans of the tires have a bell-shaped distribution.)
(a) The life spans of three randomly selected tires are 34,000 miles, 38,000 miles, and 31,000 miles. Find
the z-score that corresponds to each life span.
For the life span of 34,000 miles, z-score is
(Round to the nearest hundredth as needed.)
For the life span of 38,000 miles, z-score is
(Round to the nearest hundredth as needed.)
For the life span of 31,000 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
Transcribed Image Text:A certain brand of automobile tire has a mean life span of 35,000 miles and a standard deviation of 2,250 miles. (Assume the life spans of the tires have a bell-shaped distribution.) (a) The life spans of three randomly selected tires are 34,000 miles, 38,000 miles, and 31,000 miles. Find the z-score that corresponds to each life span. For the life span of 34,000 miles, z-score is (Round to the nearest hundredth as needed.) For the life span of 38,000 miles, z-score is (Round to the nearest hundredth as needed.) For the life span of 31,000 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
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