The Gidget Company makes widgets. If the production process is working properly, it turns out that the widgets are normally distributed with a thean length of east 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 fe 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: H22.6 O B. Ho: Hs2.6 H1: μ> 2.6 O C. Ho: μ22.46 H,: µ<2.6 H,:µ<2.46 O D. Ho: u> 2.6 O E. Ho: us2.46 OF. Ho:H<2.6 H,: µ2 2.6 H: us2.6 H1:μ>2.46 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.) Wnat is the conclusion for this test? Since the test statistic is V than the critical value, V the null hypothesis and conclude that there is evidence that you need to adjust the production equipment.
The Gidget Company makes widgets. If the production process is working properly, it turns out that the widgets are normally distributed with a thean length of east 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 fe 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: H22.6 O B. Ho: Hs2.6 H1: μ> 2.6 O C. Ho: μ22.46 H,: µ<2.6 H,:µ<2.46 O D. Ho: u> 2.6 O E. Ho: us2.46 OF. Ho:H<2.6 H,: µ2 2.6 H: us2.6 H1:μ>2.46 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.) Wnat is the conclusion for this test? Since the test statistic is V than the critical value, V the null hypothesis and conclude that there is evidence that you need to adjust the production equipment.
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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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 hean 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?
'Α. H μ22.6
H4: µ<2.6
O B. Ho: Hs2.6
H,: µ> 2.6
O C. Ho:H22.46
H,:H<2.46
D. Ho: u>2.6
H,: µs2.6
O E. Ho: us2.46
H,:µ>2.46
OF. Ho:H<2.6
H1: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?
- 1.7109 (Round to four decimal places as needed.)
wWnat is the conclusion for this test?
Since the test statistic is
V than the critical value,
V the null hypothesis and conclude that there is
V evidence that you need to
adjust the production equipment.
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