For items 27 to 29: Aprofessor wants to determine whether thereis a difference in the final averages between the past two semesters of his business statistics dasses. For a random sample of 16 students from semester 1, the mean of the final averages was 75 with standard deviation of 4. For arandom sample of 9 students from semester 2, the mean was 73 with standard deviation of 6. 27. If the final averages from semester 1 and 2 are assumed to be normally dstributed with equal variances. Which ofthe following is the appropriate set of hypotheses? A Ho: Ha - Hz S0 vs Ha: -Hz > 0 B. Ho: la - H2 20 vs HA: a-H2 <0 C Hoi - Hz = 0 vs Ha: - Ha # 0 D. Ho: - Hz 0 vs Ha: -z = 0 28. What is the computed test statistics for the appropriate test? A z = 2.0889 29. What is the correct decision forthe appropriate test at a 0.05level of significance when the population variances are assumed to be equal? A Do notreject the null hypothesis. B. t = 1.002 C t = 2.0889 D. z= 0.8944 C. Reject the altemate hypothesis D Do not roioct the altem ate hmothesis.

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Author:Amos Gilat
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For items 27 to 29: Aprofessor wants to determine whether thereis a differen ce in
the final averages between the past two semesters of his business statistics dasses.
For a random sample of 16 students from semester 1, the mean of the final averages
was 75 with standard deviation of 4. Forarandom sample of 9 students from
semester 2, the mean was 73 with standard deviation of 6.
27. If the final averages from semester 1 and 2 are assumed to be normally
distributed with equal variances. Which ofthe following is the appropriate set of
hypotheses?
A Ho: Ha - z s0vs Ha: -lz > 0
B. Ho: - H2 2 0 vs Ha: - Hz < O
C Ho: ti - 2 =0 vs Ha: -H #0
D. Ho: -g 0 vs H: - D0
28. What is the computed test statistics for the appropriate test?
A2%3D2.0889
B. t = 1.002 Ct= 2.0889 D. z= 0.8944
29. What is the correct decision forthe appropriate test at a 0.05level of
significance when the population variances are assumed to be equal?
A Do notreject the null hypothesis.
B. Reject the null hypothesis
C. Reject the altemate hypothesis
D. Do not reject the alternate hypothesis.
Transcribed Image Text:For items 27 to 29: Aprofessor wants to determine whether thereis a differen ce in the final averages between the past two semesters of his business statistics dasses. For a random sample of 16 students from semester 1, the mean of the final averages was 75 with standard deviation of 4. Forarandom sample of 9 students from semester 2, the mean was 73 with standard deviation of 6. 27. If the final averages from semester 1 and 2 are assumed to be normally distributed with equal variances. Which ofthe following is the appropriate set of hypotheses? A Ho: Ha - z s0vs Ha: -lz > 0 B. Ho: - H2 2 0 vs Ha: - Hz < O C Ho: ti - 2 =0 vs Ha: -H #0 D. Ho: -g 0 vs H: - D0 28. What is the computed test statistics for the appropriate test? A2%3D2.0889 B. t = 1.002 Ct= 2.0889 D. z= 0.8944 29. What is the correct decision forthe appropriate test at a 0.05level of significance when the population variances are assumed to be equal? A Do notreject the null hypothesis. B. Reject the null hypothesis C. Reject the altemate hypothesis D. Do not reject the alternate hypothesis.
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