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V evidence that you need to adjust the production than a, the null hypothesis and conclude that there is Since the p-value is equipment.

V evidence that you need to adjust the production than a, the null hypothesis and conclude that there is Since the p-value is equipment.

MATLAB: An Introduction with Applications
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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The Gidget Company makes widgets. If the production process is working properly, it turns out that the widgets are normally distributed with a mean length of at least 2.6 feet. Larger widgets can be used or altered but shorter widgets must be scrapped. You select a sample of 25 widgets, and the mean length is 2.46 feet and the sample standard deviation is 0.16 foot. Do you need to adjust the production equipment? Complete parts (a) through (d). Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. .... What is the test statistic for this test? - 4.3750 (Round to four decimal places as needed.) What is the critical value for this test? - 1.7109 (Round to four decimal places as needed.) What is the conclusion for this test? Since the test statistic is less than the critical value, reject the null hypothesis and conclude that there is sufficient evidence that you need to adjust the production equipment. b. If you test the null hypothesis at the 0.05 level of significance, what decision do you make using the p-value approach to hypothesis testing? What is the p-value for this test? 0.0001 (Round to four decimal places as needed.) JAlhat is the conclusion for this test? Since the p-value is than a, V the null hypothesis and conclude that there is V evidence that you need to adjust the production equipment.
Transcribed Image Text:The Gidget Company makes widgets. If the production process is working properly, it turns out that the widgets are normally distributed with a mean length of at least 2.6 feet. Larger widgets can be used or altered but shorter widgets must be scrapped. You select a sample of 25 widgets, and the mean length is 2.46 feet and the sample standard deviation is 0.16 foot. Do you need to adjust the production equipment? Complete parts (a) through (d). Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. .... What is the test statistic for this test? - 4.3750 (Round to four decimal places as needed.) What is the critical value for this test? - 1.7109 (Round to four decimal places as needed.) What is the conclusion for this test? Since the test statistic is less than the critical value, reject the null hypothesis and conclude that there is sufficient evidence that you need to adjust the production equipment. b. If you test the null hypothesis at the 0.05 level of significance, what decision do you make using the p-value approach to hypothesis testing? What is the p-value for this test? 0.0001 (Round to four decimal places as needed.) JAlhat is the conclusion for this test? Since the p-value is than a, V the null hypothesis and conclude that there is V evidence that you need to adjust the production equipment.
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From Part (b), the p-value is 0.0001.

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