Fundamentals of Statistics (5th Edition)
Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.3, Problem 4AYU

a.

To determine

To compute: The test statistic.

b.

To determine

To find: The critical value for the given test at α=0.01 level of significance.

c.

To determine

To draw: The chi-square distribution.

To depict: The critical region.

d.

To determine

To claim: The rejection of null hypothesis.

To find: The reason.

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A sample of n = 49 scores with M = 43 is selected from a population with µ = 40 with σ = 21. What is the standard error for the sample mean?
Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right. Assuming equal variances, conduct the test Ho: (uy - H2) = 0 against Ha: (H1 - H2) #0 using a = 0.10. Sample 1 Sample 2 n, = 17 n2 = 13 %3D x, = 5.3 x, = 7.6 S, = 3.9 S2 = 4.7 ... Find the test statistic. The test statistic is (Round to two decimal places as needed.) Find the p-value. The p-value is (Round to three decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Do not reject Ho. There is insufficient evidence that the means differ. O B. Do not reject Ho. There is sufficient evidence that the means differ. O C. Reject Ho. There is sufficient evidence that the means differ. O D. Reject Ho. There is insufficient evidence that the means differ.
If the researcher decides to test this hypothesis at the = 0.05 level of significance, determine the critical value. The critical value are=_ and=_. Round to three decimal places as needed.
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