Answered: Can you answer parts a, b, and c…

Name: Can you answer parts a, b, and c please? Tyrone claims his company's t
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Description: Can you answer parts a, b, and c please? Tyrone claims his company's tires last a very long time. Tyrone claims a tire's useful life is normally distributed with a population mean of 50,000 miles and a population standard deviation of 5,000 miles. Ni

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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Can you answer parts a, b, and c please?

Tyrone claims his company's tires last a very long time. Tyrone claims a tire's useful life is normally distributed with a population mean of 50,000 miles and a population standard deviation of 5,000 miles. Nick, a consumer advocate, is interested in testing Tyrone's claim. Nick takes a sample of 25 tires and determines that the tires lasted an average of 47,600 miles.

a. State the null and alternative hypothesis that Nick would use to test Tyrone's claim that its tires last an average of at least 50,000 miles.

b. What is the appropriate test statistic?

c. Determine the critical value(s) for this test using a 1% significance level.

d. Calculate the value of the test statistic based upon the sample result.

e. What is your decision and conclusion?

f. What p-value is associated with the sample result?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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