3. (25 points) A college statistics instructor wanted to compare student progres
ID: 3066480 • Letter: 3
Question
3. (25 points) A college statistics instructor wanted to compare student progress and retention according to the statistical program used in the introductory statistics class in which they were enrolled. From local colleges he selected students in a course that used SPSS, MINITAB, and SAS. Here are the scores of the students in each class on a statistics computer skills assessment that he administered to randomly selected students from each class. Please calculate the means for each group. SPSS: 18, 18, 24, 24, 19, 27, 30, 24 MINITAB: 21, 14, 19, 27, 13, 13, 20, 15 SAS: 15, 16, 16, 14, 20, 21, 15, 21 Analyze these results at the .05 level. If your results are significant, do the appropriate post hoc test. If the results are significant, answer the following question: given the method of selection, would there be any other plausible explanation for the differences in computer skills among the three groups in this study?Explanation / Answer
Level N Mean StDev
MINITAB 8 17.750 4.921
SAS 8 17.250 2.915
SPSS 8 23.000 4.375
One-way ANOVA: Score versus Program
Source DF SS MS F P
Program 2 162.3 81.2 4.70 0.021
Error 21 363.0 17.3
Total 23 525.3
S = 4.158 R-Sq = 30.90% R-Sq(adj) = 24.32%
Comment: The estimated p-value is 0.021. hence, we can conclude that at least one mean has significant different among these three means at 0.05 level of significance.
Fisher 95% Individual Confidence Intervals
All Pairwise Comparisons among Levels of Program
Simultaneous confidence level = 88.16%
Program = MINITAB subtracted from:
Program Lower Center Upper
SAS -4.823 -0.500 3.823
SPSS 0.927 5.250 9.573
Comment: The confidence interval of MINITAB subtracted from SPSS does not include the zero. Hence, the score of the student between MINITAB and SPSS has significance difference at 0.05 level of significance.
Program = SAS subtracted from:
Program Lower Center Upper
SPSS 1.427 5.750 10.073
Comment: The confidence interval of SAS subtracted from SPSS does not include the zero. Hence, the score of the student between SAS and SPSS has significance difference at 0.05 level of significance.
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