The working hours of employees of a company are inspected. The company claims that the average is 40. The inspector observes 30 people and finds out that they work 45.22 hours on average and computes the statistic S² 196. (a) Can the inspector say with 99% significance that the company is wrong in its claim? (Assume the sample is iid.) (b) Compute the p-value and the limiting n such that Ho is rejected at a = 0.01 (Assume S2 and X keep their value and you can use calculator to try n.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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The working hours of employees of a company are inspected. The company claims that
the average is 40. The inspector observes 30 people and finds out that they work 45.22 hours
on average and computes the statistic S² = 196.
(a) Can the inspector say with 99% significance that the company is wrong in its claim?
(Assume the sample is iid.)
0.01 (Assume
(b) Compute the p-value and the limiting n such that Ho is rejected at a =
S2 and X keep their value and you can use calculator to try n.)
Transcribed Image Text:The working hours of employees of a company are inspected. The company claims that the average is 40. The inspector observes 30 people and finds out that they work 45.22 hours on average and computes the statistic S² = 196. (a) Can the inspector say with 99% significance that the company is wrong in its claim? (Assume the sample is iid.) 0.01 (Assume (b) Compute the p-value and the limiting n such that Ho is rejected at a = S2 and X keep their value and you can use calculator to try n.)
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