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?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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