A university employment office wants to compare the time taken by graduates with three different majors to find their first full-time job after graduation. The following table lists the time (in days) taken to find their first full-time job after graduation for a random sample of eight business majors, seven computer science majors, and six engineering majors who graduated in May 2019 a. Suppose you must test the hypothesis at 5% level of significance whether the mean time taken to find their first full-time job for all May 2019 graduates in these fields is the same. What is your conclusion? b. Suppose you reject the null hypothesis, use the LSD method to compare the difference in the meantime taken to find their first full-time job for Business and Computer Science graduates using 95% confidence interval.

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A university employment office wants to compare the time taken by graduates with three different majors to find their first full-time job after graduation. The following table lists the time (in days) taken to find their first full-time job after graduation for a random sample of eight business majors, seven computer science majors, and six engineering majors who graduated in May 2019

a. Suppose you must test the hypothesis at 5% level of significance whether the mean time taken to find their first full-time job for all May 2019 graduates in these fields is the same. What is your conclusion?

b. Suppose you reject the null hypothesis, use the LSD method to compare the difference in the meantime taken to find their first full-time job for Business and Computer Science graduates using 95% confidence interval.

SUMMARY
Groups
Count
Sum
Average
Variance
Business
18
1208
151
386
Computer Science
17
932
133.1429 253.4762
Law
16
898
149.6667 360.2667
ANOVA
Source of Variation
Iss
df
MS
P-value
F crit
Between Groups
A
700.2381 F
0.152404 G
Within Groups
6024.19
C
H
Total
Transcribed Image Text:SUMMARY Groups Count Sum Average Variance Business 18 1208 151 386 Computer Science 17 932 133.1429 253.4762 Law 16 898 149.6667 360.2667 ANOVA Source of Variation Iss df MS P-value F crit Between Groups A 700.2381 F 0.152404 G Within Groups 6024.19 C H Total
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