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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


 

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 225. The management of the corporation suspects that the variance differs from 225. A random sample of 24 months had a mean of 108 interviews, with a variance of 400. 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 0.05 level of significance, that the management's claim is correct? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) , :0 The null hypothesis: H The alternative hypothesis: H :0 D=D S (Choose one) a The type of test statistic: D O The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.05 level of significance: (Round to at least three decimal places.) I and Can we support the claim that the variance of number of people interviewed by the corporation in one month differs from 2252 Yes O No

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