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 of significance, what decision do you make using the critical value approach to hypothesis testing? What are the null and alternative hypotheses for this test? A. Ho: 22.6 H,: µ<2.6 O B. Ho: us2.6 H: µ> 2.6 OC. Ho: u22.46 H;:µ<2.46 OE. Ho: HS2.46 OF. Ho: H<2.6 OD. Ho: H> 2.6 H: us2.6 H,: µ>2.46 H,: µ22.6 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? (Round to four decimal places as needed.)

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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.
......L
a. If you test the null hypothesis at the 0.05 level of significance, what decision do you make using the critical value approach to hypothesis testing?
What are the null and alternative hypotheses for this test?
Ο C. Ho μ2 2.46
'A. Ho: μ2 2.6
H: µ<2.6
O B. Ho: us2.6
H: µ>2.6
H;:H<2.46
OF. Ho: H<2.6
O D. Ho: H>2.6
H: us2.6
O E. Ho: us2.46
H;: µ> 2.46
H4: µ22.6
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?
(Round to four decimal places as needed.)
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. ......L a. If you test the null hypothesis at the 0.05 level of significance, what decision do you make using the critical value approach to hypothesis testing? What are the null and alternative hypotheses for this test? Ο C. Ho μ2 2.46 'A. Ho: μ2 2.6 H: µ<2.6 O B. Ho: us2.6 H: µ>2.6 H;:H<2.46 OF. Ho: H<2.6 O D. Ho: H>2.6 H: us2.6 O E. Ho: us2.46 H;: µ> 2.46 H4: µ22.6 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? (Round to four decimal places as needed.)
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