Statistics for Management and Economics (Book Only)
Statistics for Management and Economics (Book Only)
11th Edition
ISBN: 9781337296946
Author: Gerald Keller
Publisher: Cengage Learning
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Chapter 11.2, Problem 9E
To determine

Calculate the p value.

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Consider the following hypothesis from a sample of 22 observations that has the value ?=2.24: ?0:?=8 ??:?>8   What are the degrees of freedom for this statistic? Give the two critical values ?∗from t Distribution table that bracket t. Between what two values does the P-value of the test fall? Is the value ?=2.24 statistically significant at the 5% level? Is it statistically significant at the 1% level?
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 8 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4.6. A random sample of 8 observations from another population revealed a sample mean of 27 and a sample standard deviation of 4.6. The population standard deviations are unknown but assumed to be equal. At the 0.01 significance level, is there a difference between the population means? a. State the decision rule. b. Compute the pooled estimate of the population variance. c. Compute the test statistic.
Show that the sample variance of a random variable X is a consistent estimator of the population variance.

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Statistics for Management and Economics (Book Only)

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