A study of undergraduate computer science students examined changes in major aft
ID: 3223417 • Letter: A
Question
A study of undergraduate computer science students examined changes in major after the first year. The study examined the fates of 256 students who enrolled as first-year students in the same fall semester. The students were classified according to gender and their declared major at the beginning of the second year. For convenience we use the labels CS for computer science majors, EO for engineering and other science majors, and O for other majors. The mean SAT mathematics scores for the students are summarized in the following table.
Summarize the results of this study using appropriate plots and calculations to describe the main effects and interaction.
Major Gender CS EO O Males 628 618 589 Females 582 631 543Explanation / Answer
Using Minitab:
One-way ANOVA: Males, Females
Method
Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level = 0.05
Equal variances were assumed for the analysis.
Factor Information
Factor Levels Values
Factor 2 Males, Females
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Factor 1 1040 1040 0.88 0.400
Error 4 4709 1177
Total 5 5749
Model Summary
S R-sq R-sq(adj) R-sq(pred)
34.3123 18.09% 0.00% 0.00%
Means
Factor N Mean StDev 95% CI
Males 3 611.7 20.3 (556.7, 666.7)
Females 3 585.3 44.1 (530.3, 640.3)
Pooled StDev = 34.3123
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