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 105 and a variance, o, of 283. The management of the corporation suspects that the variance differs from 283. A random sample of 11 months had a mean of 109 interviews, with a variance of 681. 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 0.01 level of significance, that the management's claim is correct Perform a two-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,. Aa H, :0 H, :0 |(b) Determine the type of test statistic to use. (Choose one) O=0 Oso O20 |(c) Find the value of the test statistic. (Round to three or more decimal places.) ? |(d) Find the two critical values. (Round to three or more decimal places.) O and O |(e) Can we support the claim that the variance of number of people interviewed by the corporation in one month differs from 283? OYes ONo
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 105 and a variance, o, of 283. The management of the corporation suspects that the variance differs from 283. A random sample of 11 months had a mean of 109 interviews, with a variance of 681. 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 0.01 level of significance, that the management's claim is correct Perform a two-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,. Aa H, :0 H, :0 |(b) Determine the type of test statistic to use. (Choose one) O=0 Oso O20 |(c) Find the value of the test statistic. (Round to three or more decimal places.) ? |(d) Find the two critical values. (Round to three or more decimal places.) O and O |(e) Can we support the claim that the variance of number of people interviewed by the corporation in one month differs from 283? OYes ONo
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:Hypothesis test for the population variance or..
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 105 and a variance, o, of 283. The management of the corporation suspects that
the variance differs from 283. A random sample of 11 months had a mean of 109 interviews, with a variance of 681. 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 0.01 level of significance, that the management's claim is correct
Perform a two-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,.
Aa
H, :0
H, :0
(b) Determine the type of test statistic to use.
|(Choose one) v
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
?
(d) Find the two critical values. (Round to three or more decimal places.)
O and I
(e) Can we support the claim that the variance of number of people interviewed
by the corporation in one month differs from 283?
OYes ONo
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