(b) The life spans of three randomly selected tires are 29,700 miles, 34,300 miles, and 32,000 miles. Using the empirical rule, find the percentile that corresponds to each life span. th percentile. th percentile. The life span 29,700 miles corresponds to the The life span 34,300 miles corresponds to the The life span 32,000 miles corresponds to the th percentile.

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A certain brand of automobile tire has a mean life span of 32,000 miles and a standard deviation of 2,300 miles. (Assume the life spans of the tires have a bell-shape
distribution.)
(a) The life spans of three randomly selected tires are 35,000 miles, 36,000 miles, and 31,000 miles. Find the z-score that corresponds to each life span.
For the life span of 35,000 miles, z-score is 1.30.
(Round to the nearest hundredth as needed.)
For the life span of 36,000 miles, z-score is 1.74.
(Round to the nearest hundredth as needed.)
For the life span of 31,000 miles, z-score is -0.43.
(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 29,700 miles, 34,300 miles, and 32,000 miles. Using the empirical rule, find the percentile that corresponds to
each life span.
th percentile.
th percentile.
The life span 29,700 miles corresponds to the
The life span 34,300 miles corresponds to the
The life span 32,000 miles corresponds to the
th percentile.
Transcribed Image Text:A certain brand of automobile tire has a mean life span of 32,000 miles and a standard deviation of 2,300 miles. (Assume the life spans of the tires have a bell-shape distribution.) (a) The life spans of three randomly selected tires are 35,000 miles, 36,000 miles, and 31,000 miles. Find the z-score that corresponds to each life span. For the life span of 35,000 miles, z-score is 1.30. (Round to the nearest hundredth as needed.) For the life span of 36,000 miles, z-score is 1.74. (Round to the nearest hundredth as needed.) For the life span of 31,000 miles, z-score is -0.43. (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 29,700 miles, 34,300 miles, and 32,000 miles. Using the empirical rule, find the percentile that corresponds to each life span. th percentile. th percentile. The life span 29,700 miles corresponds to the The life span 34,300 miles corresponds to the The life span 32,000 miles corresponds to the th percentile.
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