(a) State the null hypothesis H, and the alternative hypothesis H . Ho :0 H :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.) (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.1 level, can it be concluded that the mean completion time under new management is less than the scheduled mean?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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An elec
s manuracturing process nas a schedured mean completion time or 75 minutes. It is claimed that, under new management, the mean completion
time, u, 1o icSs than 75 minutes. To test this claim, a random sample of 22 completion times under new management was taken.
The sample had a mean completion time of 71 minutes and a standard deviation of 10 minutes. Assume that the population of completion times under new
management is normally distributed. At the 0.1 level of significance, can it be concluded that the mean completion time, µ, under new management is less than
the scheduled mean?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis H and the alternative hypothesis H,.
H, :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
O=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the p-value. (Round to three or more decimal places.)
(e) At the 0.1 level, can it be concluded that the mean completion time under
new management is less than the scheduled mean?
Ix
Transcribed Image Text:An elec s manuracturing process nas a schedured mean completion time or 75 minutes. It is claimed that, under new management, the mean completion time, u, 1o icSs than 75 minutes. To test this claim, a random sample of 22 completion times under new management was taken. The sample had a mean completion time of 71 minutes and a standard deviation of 10 minutes. Assume that the population of completion times under new management is normally distributed. At the 0.1 level of significance, can it be concluded that the mean completion time, µ, under new management is less than the scheduled mean? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.1 level, can it be concluded that the mean completion time under new management is less than the scheduled mean? Ix
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