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Consider the hypothesis test Ho : H1 = 42 against H1 :H > 42. Suppose that sample sizes are nį = 15 and n2 = 15, that = 7.7 and I, = 5.7 and that s = 4 and s = 9. Assume that of a = 0.05. %3D o; and that the data are drawn from normal distributions. Use = (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if u1 is 3 units greater than 42? (c) Assuming equal sample sizes, what sample size should be used to obtain B = 0.05 if 41 is 3.0 units greater than 42? Assume that a = 0.05. (a) The null hypothesis v rejected. The P-value is i . Round your answer to three decimal is .016 places (e.g. 98.765). (b) The power is i .65 . Round your answer to two decimal places (e.g. 98.76). (c) n1 = n2 = i . Round your answer to the nearest integer. 31 Statistical Tables and Charts

Consider the hypothesis test Ho : H1 = 42 against H1 :H > 42. Suppose that sample sizes are nį = 15 and n2 = 15, that = 7.7 and I, = 5.7 and that s = 4 and s = 9. Assume that of a = 0.05. %3D o; and that the data are drawn from normal distributions. Use = (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if u1 is 3 units greater than 42? (c) Assuming equal sample sizes, what sample size should be used to obtain B = 0.05 if 41 is 3.0 units greater than 42? Assume that a = 0.05. (a) The null hypothesis v rejected. The P-value is i . Round your answer to three decimal is .016 places (e.g. 98.765). (b) The power is i .65 . Round your answer to two decimal places (e.g. 98.76). (c) n1 = n2 = i . Round your answer to the nearest integer. 31 Statistical Tables and Charts

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Consider the hypothesis test Ho : H1 = 42 against H1 :H > 42. Suppose that sample sizes are nį = 15 and nz = 15, that = 7.7 and I, = 5.7 and that s = 4 and s = 9. Assume that o? o; and that the data are drawn from normal distributions. Use = a = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if µ1 is 3 units greater than 42? (c) Assuming equal sample sizes, what sample size should be used to obtain B = 0.05 if µ1 is 3.0 units greater than 42? Assume that a = 0.05. (a) The null hypothesis v rejected. The P-value is i .016 . Round your answer to three decimal is places (e.g. 98.765). (b) The power is i .65 .Round your answer to two decimal places (e.g. 98.76). (c) n1 = n2 = i . Round your answer to the nearest integer. 31 Statistical Tables and Charts
Transcribed Image Text:Consider the hypothesis test Ho : H1 = 42 against H1 :H > 42. Suppose that sample sizes are nį = 15 and nz = 15, that = 7.7 and I, = 5.7 and that s = 4 and s = 9. Assume that o? o; and that the data are drawn from normal distributions. Use = a = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if µ1 is 3 units greater than 42? (c) Assuming equal sample sizes, what sample size should be used to obtain B = 0.05 if µ1 is 3.0 units greater than 42? Assume that a = 0.05. (a) The null hypothesis v rejected. The P-value is i .016 . Round your answer to three decimal is places (e.g. 98.765). (b) The power is i .65 .Round your answer to two decimal places (e.g. 98.76). (c) n1 = n2 = i . Round your answer to the nearest integer. 31 Statistical Tables and Charts
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