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A certain brand of automobile tire has a mean life span of 31,000 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, 37,000 miles, and 32,000 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 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? Yes No (b) The life spans of three randomly selected tires are 26,500 miles, 35,500 miles, and 31,000 miles. Using the empirical rule, find the percentile that corresponds to each life span The life span 26,500 miles corresponds to the th percentile. The life span 35,500 miles corresponds to the th percentile. The life span 31,000 miles corresponds to the th percentile.

A certain brand of automobile tire has a mean life span of 31,000 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, 37,000 miles, and 32,000 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 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? Yes No (b) The life spans of three randomly selected tires are 26,500 miles, 35,500 miles, and 31,000 miles. Using the empirical rule, find the percentile that corresponds to each life span The life span 26,500 miles corresponds to the th percentile. The life span 35,500 miles corresponds to the th percentile. The life span 31,000 miles corresponds to the th percentile.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 31,000 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, 37,000 miles, and 32,000 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 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? Yes No (b) The life spans of three randomly selected tires are 26,500 miles, 35,500 miles, and 31,000 miles. Using the empirical rule, find the percentile that corresponds to each life span The life span 26,500 miles corresponds to the th percentile. The life span 35,500 miles corresponds to the th percentile. The life span 31,000 miles corresponds to the th percentile.
Transcribed Image Text:A certain brand of automobile tire has a mean life span of 31,000 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, 37,000 miles, and 32,000 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 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? Yes No (b) The life spans of three randomly selected tires are 26,500 miles, 35,500 miles, and 31,000 miles. Using the empirical rule, find the percentile that corresponds to each life span The life span 26,500 miles corresponds to the th percentile. The life span 35,500 miles corresponds to the th percentile. The life span 31,000 miles corresponds to the th percentile.
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