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Please answer Question 12-14 based upon the following information. An instructor

ID: 3320518 • Letter: P

Question

Please answer Question 12-14 based upon the following information. An instructor claimed that the final mean score of any statistics course in the university is never less than 70. The population standard deviation of midterm score is 10. A random sample of 64 students’ scores was drawn for hypothesis testing. The sample mean is 72 and (alpha) = 0.05. Which of the following is the correct hypothesis setting?

H0: < 70      Ha: 70

H0: 70      Ha: < 70

H0: 70      Ha: > 70

H0: > 70      Ha: 70

Please answer Question 12-14 based upon the following information. An instructor claimed that the final mean score of any statistics course in the university is never less than 70. The population standard deviation of midterm score is 10. A random sample of 64 students’ scores was drawn for hypothesis testing. The sample mean is 72 and
(alpha) = 0.05. In this case,
= 0.05 stands for

the confidence level

1the level of significance

the level of significance

Type II error

Please answer Question 12-14 based upon the following information. An instructor claimed that the final mean score of any statistics course in the university is never less than 70. The population standard deviation of midterm score is 10. A random sample of 64 students’ scores was drawn for hypothesis testing. The sample mean is 72 and
(alpha) = 0.05. Applying the rejection region approach, you will have the critical value as ______ and conclude that _____.

1.645; we reject the instructor’s claim

1.960; we reject the instructor’s claim

1.645; we cannot reject the instructor’s claim

1.960; we cannot reject the instructor’s claim

H0: < 70      Ha: 70

H0: 70      Ha: < 70

H0: 70      Ha: > 70

H0: > 70      Ha: 70

Please answer Question 12-14 based upon the following information. An instructor claimed that the final mean score of any statistics course in the university is never less than 70. The population standard deviation of midterm score is 10. A random sample of 64 students’ scores was drawn for hypothesis testing. The sample mean is 72 and
(alpha) = 0.05. In this case,
= 0.05 stands for

the confidence level

1the level of significance

the level of significance

Type II error

Please answer Question 12-14 based upon the following information. An instructor claimed that the final mean score of any statistics course in the university is never less than 70. The population standard deviation of midterm score is 10. A random sample of 64 students’ scores was drawn for hypothesis testing. The sample mean is 72 and
(alpha) = 0.05. Applying the rejection region approach, you will have the critical value as ______ and conclude that _____.

1.645; we reject the instructor’s claim

1.960; we reject the instructor’s claim

1.645; we cannot reject the instructor’s claim

1.960; we cannot reject the instructor’s claim

Explanation / Answer

a) Option-B) H0: 70      Ha: < 70

b) Option-C) the level of significance

c) Critical value = - Z0.05 = -1.645

Test statistic = (X bar - mean) / (sd/sqrt(n)) = (72 - 70) / (10 / sqrt(64)) = 1.6

Option-C) 1.645; we cannot reject the instructor’s claim

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