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(c) A manufacturer ABC produces tires. The mean distance to wear out of these tires is 108,000 km, and the standard deviation of wear out distance is 15,000 km. Suppose a distributor who is about to buy those tires wishes to test a random sample of them. What number of tires would have to be tested so there is 98% probability that the mean wear out distance for the sample is within 5% of population mean?

(c) A manufacturer ABC produces tires. The mean distance to wear out of these tires is 108,000 km, and the standard deviation of wear out distance is 15,000 km. Suppose a distributor who is about to buy those tires wishes to test a random sample of them. What number of tires would have to be tested so there is 98% probability that the mean wear out distance for the sample is within 5% of population mean?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A manufacturer ABC produces tires. The mean distance to wear out of these tires (c) is 108,000 km, and the standard deviation of wear out distance is 15,000 km. Suppose a distributor who is about to buy those tires wishes to test a random sample of them. What number of tires would have to be tested so there is 98% probability that the mean wear out distance for the sample is within 5% of population mean?
Transcribed Image Text:A manufacturer ABC produces tires. The mean distance to wear out of these tires (c) is 108,000 km, and the standard deviation of wear out distance is 15,000 km. Suppose a distributor who is about to buy those tires wishes to test a random sample of them. What number of tires would have to be tested so there is 98% probability that the mean wear out distance for the sample is within 5% of population mean?
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