A certain brand of automobile tire has a mean life span of 33.000 miles and a standard deviation of 2,150 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 31,000 miles. Find the z-score that corresponds to each life span. For the life span of 35,000 miles, 2-score is Round to the nearest hundredth as needed.) For the life span of 37,000 miles, 2-score is Round to the nearest hundredth as needed.) For the life span of 31,000 miles, 2-score isO Round to the nearest hundredth as needed.) According to the z-scores, would the ife spans of any of these tires be considered unusual? O No O Yes b) The life spans of three randomly selected tires are 30.850 miles. 35.150 miles. and 33.000 miles. Using the empirical rule, find the percentile that corresponds to each life span. The life span 30.850 miles corresponds to a percentile of The life span 35,150 miles coresponds to a percentile of The life span 33,000 miles corresponds to a percentile of Round to the nearest whole number as needed)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A certain brand of automobile tire has a mean life span of 33,000 miles and a standard deviation of 2,150 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 31,000 miles. Find the z-score that corresponds to each life span.
For the life span of 35,000 miles, z-score is
(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 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
(b) The life spans of three randomly selected tires are 30,850 miles, 35,150 miles, and 33,000 miles. Using the empirical rule, find the percentile that corresponds to each life span.
The life span 30,850 miles corresponds to a percentile of
The life span 35,150 miles corresponds to a percentile of
The life span 33,000 miles corresponds to a percentile of
d to the nearest whole number
needed.)
Transcribed Image Text:A certain brand of automobile tire has a mean life span of 33,000 miles and a standard deviation of 2,150 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 31,000 miles. Find the z-score that corresponds to each life span. For the life span of 35,000 miles, z-score is (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 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 (b) The life spans of three randomly selected tires are 30,850 miles, 35,150 miles, and 33,000 miles. Using the empirical rule, find the percentile that corresponds to each life span. The life span 30,850 miles corresponds to a percentile of The life span 35,150 miles corresponds to a percentile of The life span 33,000 miles corresponds to a percentile of d to the nearest whole number needed.)
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