A machine produces bolts with an average length of 16 inches. A manager selects a sample of 25 bolts. The average length in the sample was 15.95 inches with a variance of 0.4 inches.The acceptable variance for the length is 0.3 inches. (Note that 1 inch is equivalent to 2.54 cm). a.Construct a 95% confidence interval for the population variance. b.State the null and alternative hypotheses to test whether or not the population variance equals 0.3 inches. c.Compute the test statistic. d.The null hypothesis is to be tested at the 5% level of significance. State the decision rule for the test using the critical value approach. e.What do you conclude about the population variance?

Name: A machine produces bolts with an average length of 16 inches. A manage
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Description: A machine produces bolts with an average length of 16 inches. A manager selects a sample of 25 bolts. The average length in the sample was 15.95 inches with a variance of 0.4 inches.The acceptable variance for the length is 0.3 inches. (Note that 1 i

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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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A machine produces bolts with an average length of 16 inches. A manager selects a sample of 25 bolts. The average length in the sample was 15.95 inches with a variance of 0.4 inches.The acceptable variance for the length is 0.3 inches. (Note that 1 inch is equivalent to 2.54 cm).

a.	Construct a 95% confidence interval for the population variance.
b.	State the null and alternative hypotheses to test whether or not the population variance equals 0.3 inches.
c.	Compute the test statistic.
d.	The null hypothesis is to be tested at the 5% level of significance. State the decision rule for the test using the critical value approach.
e.	What do you conclude about the population variance?

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