(a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 3 X 0=0 ☐#0 U

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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HW EIGHTEEN

 

Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of
13.2 minutes. The standard deviation of completion times was 1.8 minutes. An analyst at the company suspects that,
under new management, the mean completion time, μ, is now less than 13.2 minutes. To test this claim, a random
sample of 22 completion times under new management was taken by the analyst. The sample had a mean of 12.8
minutes. Assume that the population is normally distributed. Can we support, at the 0.10 level of significance, the claim
that the population mean completion time under new management is less than 13.2 minutes? Assume that the population
standard deviation of completion times has not changed under new management.
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If
necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
0
Ho
:
H₁:
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we support the claim that the population mean completion time under
new management is less than 13.2 minutes?
O Yes O No
μ
X
☐#0
0 р
X
S
90
0=0 OSO 020
ロ<ロ
<Q₂₂
믐
010
Ś
O<O
Transcribed Image Text:Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 13.2 minutes. The standard deviation of completion times was 1.8 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ, is now less than 13.2 minutes. To test this claim, a random sample of 22 completion times under new management was taken by the analyst. The sample had a mean of 12.8 minutes. Assume that the population is normally distributed. Can we support, at the 0.10 level of significance, the claim that the population mean completion time under new management is less than 13.2 minutes? Assume that the population standard deviation of completion times has not changed under new management. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. 0 Ho : H₁: (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the population mean completion time under new management is less than 13.2 minutes? O Yes O No μ X ☐#0 0 р X S 90 0=0 OSO 020 ロ<ロ <Q₂₂ 믐 010 Ś O<O
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