State the null hypothesis H, and the alternative hypothesis H1. Ho :0 H :0 Determine the type of test statistic to use. |(Choose one) ▼ O=0 OSO Find the value of the test statistic. (Round to three or more decimal places.) O

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The human resources department of a major corporation announced that the number of people interviewed by the corporation in one month has a mean of 101
and a variance, oʻ, of 266. The management of the corporation suspects that the variance exceeds 266. A random sample of 10 months yielded a mean of 105
interviews, with a variance of 378. If we assume that the number of people interviewed by the corporation in one month follows an approximately normal
distribution, is there enough evidence to conclude, at the 0.1 level of significance, that the management's claim is correct?
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 below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
p
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) Can we support the claim that the variance of number of people interviewed
by the corporation in one month exceeds 266?
O Yes ONo
Transcribed Image Text:The human resources department of a major corporation announced that the number of people interviewed by the corporation in one month has a mean of 101 and a variance, oʻ, of 266. The management of the corporation suspects that the variance exceeds 266. A random sample of 10 months yielded a mean of 105 interviews, with a variance of 378. If we assume that the number of people interviewed by the corporation in one month follows an approximately normal distribution, is there enough evidence to conclude, at the 0.1 level of significance, that the management's claim is correct? 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 below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p 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) Can we support the claim that the variance of number of people interviewed by the corporation in one month exceeds 266? O Yes ONo
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