Note: Students should use the tool link: https://mathcracker.com/normal-probability-calculator-sampling-distributions (Include the work from the software as part of your answer before submitting the lab) A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500 miles. The manufacturer tests 60 such tires. On the assumption that the actual population mean is 38,500 miles and the actual population standard deviation is 2,500 miles, find the probability that the sample mean will be less than 36,000 miles. Assume that the distribution of lifetimes of such tires is normal. Let X = number of miles on a single tire. Write the question above in terms of this variable X. Using the software tool above, find the probability stated on part (a) Using the software tool above, graph the probability of stated on part (b)

Name: Note: Students should use the tool link: https://mathcracker.com/norma
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Description: Note: Students should use the tool link: https://mathcracker.com/normal-probability-calculator-sampling-distributions (Include the work from the software as part of your answer before submitting the lab) A prototype automotive tire has a design life

Note: Hi there! thanks for posting the question. As the software tool is not mentioned, we have used…

Answered: A prototype automotive tire has a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(Include the work from the software as part of your answer before submitting the lab)

A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500 miles. The manufacturer tests 60 such tires. On the assumption that the actual population mean is 38,500 miles and the actual population standard deviation is 2,500 miles, find the probability that the sample mean will be less than 36,000 miles. Assume that the distribution of lifetimes of such tires is normal.

Let X = number of miles on a single tire. Write the question above in terms of this variable X.

Using the software tool above, find the probability stated on part (a)

Using the software tool above, graph the probability of stated on part (b)

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