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8.98 Refer to Exercise 8.97 O a. If A = 1,040 instead of 1,020, what is the probability that the hypothesis test will incorrectly fail to reject Ho? That is, what is 3? b. IfA = 1,040, what is the probability that the test will correctly reject the null hypothesis? That is, what is the power of the test? c. Compare B and the power of the test when A = 1, 040 to the values you obtained in Exercise 8.97 Ofor 4 = 1, 020. Explain the differences.

8.98 Refer to Exercise 8.97 O a. If A = 1,040 instead of 1,020, what is the probability that the hypothesis test will incorrectly fail to reject Ho? That is, what is 3? b. IfA = 1,040, what is the probability that the test will correctly reject the null hypothesis? That is, what is the power of the test? c. Compare B and the power of the test when A = 1, 040 to the values you obtained in Exercise 8.97 Ofor 4 = 1, 020. Explain the differences.

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 19PFA
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Please answer question 8.98. I included 8.97 for reference. 

8.97 Suppose you want to test Ho : H = 1,000 against Ha : u > 1,000, using a = .05. The population in question is normally distributed with standard deviation 120. A random sample of size n = 36 will be used. a. Sketch the sampling distribution of , assuming that Ho is true. b. Find the value of *o, that value of I above which the null hypothesis will be rejected. Indicate the rejection region on your graph of part a. Shade the area above the rejection region and label it a. c. On your graph of part a, sketch the sampling distribution of Z if H = 1, 020. Shade the area under this distriībution that corresponds to the probability that I falls in the nonrejection region when H = 1,020. Label this area B. d. Find B 2. Compute the power of this test for detecting the alternative Ha : µ = 1, 020. 416 8.98 Refer to Exercise 8.97 O. a If A = 1,040 instead of 1,020, what is the probability that the hypothesis test will incorrectly fail to reject Ho? That is, what is 3? b. If H = 1,040, what is the probability that the test will correctly reject the null hypothesis? That is, what is the power of the test? c. Compare B and the power of the test when H = 1,040 to the values you obtained in Exercise 8.97 Ofor A= 1,020. Explain the differences.
Transcribed Image Text:8.97 Suppose you want to test Ho : H = 1,000 against Ha : u > 1,000, using a = .05. The population in question is normally distributed with standard deviation 120. A random sample of size n = 36 will be used. a. Sketch the sampling distribution of , assuming that Ho is true. b. Find the value of *o, that value of I above which the null hypothesis will be rejected. Indicate the rejection region on your graph of part a. Shade the area above the rejection region and label it a. c. On your graph of part a, sketch the sampling distribution of Z if H = 1, 020. Shade the area under this distriībution that corresponds to the probability that I falls in the nonrejection region when H = 1,020. Label this area B. d. Find B 2. Compute the power of this test for detecting the alternative Ha : µ = 1, 020. 416 8.98 Refer to Exercise 8.97 O. a If A = 1,040 instead of 1,020, what is the probability that the hypothesis test will incorrectly fail to reject Ho? That is, what is 3? b. If H = 1,040, what is the probability that the test will correctly reject the null hypothesis? That is, what is the power of the test? c. Compare B and the power of the test when H = 1,040 to the values you obtained in Exercise 8.97 Ofor A= 1,020. Explain the differences.
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