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...


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

Extracted 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="">

Jun 01, 2022
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