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 a If you test the null hypothesis at the 0,05 level significance, what decision do you make using the critical value approach to hypothesis testing What are the null and alternative hypotheses for this test VA Ho 22 6 OC H u22 46 O B Ho us26 H p 2 6 H, p 2 6 H, u 2 46 OD Ho 2 6 H, us2 6 OE H us246 OF Hoi H 26 H, p 2 46 H, u22 6 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 four decimal places as needed ) What is the conclusion for this test Since the n value is less than a reiect the null hvnnthesis and conclude that there is sufficient evidence that vouI nend to aditust the production equinment

Question: The Gidget Company makes widgets. If the production process is working properly, it turns out that the widgets are normally distributed with a mean

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 a. If you test the null hypothesis at the 0,05 level significance, what decision do you make using the critical value approach to hypothesis testing? What are the null and alternative hypotheses for this test? VA Ho: 22.6 OC. H: u22.46 O B. Ho: us26 H: p> 2.6 H,: p

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