If the final averages form semester 1 and 2 are assumed to be normally distributed with qual variances. Which of the following is the appropriate set of hypotheses? A. Ho: H1- H2S O vs HA: H1 - H2>0 B. Ho: H1 - H220 vs HA: H1 -42 <0 C. Ho: H1 - H2 = 0 vs HA: H1 - Hz # 0 D. Ho: H1- H2 # 0 vs HA: 1 - H2 = 0 . What is the computed test statistics for the appropriate test? A. z = 1.9964 B. t 0.8944 C. t 1.0018 D. z = 0.5009 . What is the correct decision for the appropriate test at a 0.05 level of significance when the population variances are assumed to be equal?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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For items 27 to 29: A professor wants to determine whether there is a difference in the final
averages between the past two semesters. Of his business statistics classes. For a random sample
of 16 students from semester 1, the mean of the final averages was 75 with standard deviation of 4.
For a random sample of 9 students from semester 2, the mean was 73 with standard deviation of 6.
27. If the final averages form semester 1 and 2 are assumed to be normally distributed with
equal variances. Which of the following is the appropriate set of hypotheses?
A. Ho: H1-2 S0 vs HA: H1- 42>0
B. Ho: H1 -H2 20 vs HA: 1 -H2 <0
C. Ho: H1 - 2 =0 vs HA: H1- H2 #0
D. Ho: H-42 # 0 vs HA: H1 H2 =0
%3D
28. What is the computed test statistics for the appropriate test?
B. t 0.8944
A. z 1.9964
C. t 1.0018
D. z = 0.5009
%3D
%3D
29. What is the correct decision for the appropriate test at a 0.05 level of significance when
the population variances are assumed to be equal?
A. Do not reject the null hypothesis.
B. Reject the null hypothesis
C. Reject the alternate hypothesis
D. Do not reject the alternate hypothesis.
30. Which of the following is correct?
A. The Probability of type I error is B
B. The probability of type two error is (1 - Bß)
C. The probability of type II error is a
D. None of the above.
Transcribed Image Text:For items 27 to 29: A professor wants to determine whether there is a difference in the final averages between the past two semesters. Of his business statistics classes. For a random sample of 16 students from semester 1, the mean of the final averages was 75 with standard deviation of 4. For a random sample of 9 students from semester 2, the mean was 73 with standard deviation of 6. 27. If the final averages form semester 1 and 2 are assumed to be normally distributed with equal variances. Which of the following is the appropriate set of hypotheses? A. Ho: H1-2 S0 vs HA: H1- 42>0 B. Ho: H1 -H2 20 vs HA: 1 -H2 <0 C. Ho: H1 - 2 =0 vs HA: H1- H2 #0 D. Ho: H-42 # 0 vs HA: H1 H2 =0 %3D 28. What is the computed test statistics for the appropriate test? B. t 0.8944 A. z 1.9964 C. t 1.0018 D. z = 0.5009 %3D %3D 29. What is the correct decision for the appropriate test at a 0.05 level of significance when the population variances are assumed to be equal? A. Do not reject the null hypothesis. B. Reject the null hypothesis C. Reject the alternate hypothesis D. Do not reject the alternate hypothesis. 30. Which of the following is correct? A. The Probability of type I error is B B. The probability of type two error is (1 - Bß) C. The probability of type II error is a D. None of the above.
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