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 For a random sample of 9 students from semester 2, the mean was 73 with standard deviation of 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 - H2 s O vs HA: µ1 – µz > 0 B. Ho: H1 - H2 0 vs H4: H1 – H2 <0 C. Ho: H1 - Hz = 0 vs Ha: µ1 – H2 # 0 D. Ho: H1 - H2 0 vs HA: H1 – H2 = 0 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 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 BE C. Reject the alternate hypothesis D. Do not reject the alternate hypothesis.

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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- H2 S O vs HA: H1 - Hz > 0
B. Ho: H1 - 42 > 0 vs H4: µ1 – H2 < 0
C. Ho: H1- H2 = 0 vs HA: H1 – H2 # 0
D. Ho: H1 - H2 0 vs HA: H1 – H2 = 0
28. 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
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.
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- H2 S O vs HA: H1 - Hz > 0 B. Ho: H1 - 42 > 0 vs H4: µ1 – H2 < 0 C. Ho: H1- H2 = 0 vs HA: H1 – H2 # 0 D. Ho: H1 - H2 0 vs HA: H1 – H2 = 0 28. 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 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.
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