The following three independent random samples are obtained from three normally

Question

The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 1: Internship Group 2: Co-op Group 3: Work Study 8.5 11.75 13.5 12.75 12.5 13 13.5 13.75 12 12.75 13.25 14.75 17.5 12 15.25 14.25 12.25 13.25 12.25 14.25 14 15.5 14.75 12 11.5 13.5 14.5 11.25 13.75 14 17.25 12 10.25 Use technology to conduct a one-factor ANOVA to determine if the group means are equal using 0.05. Group means (report to 2 decimal places): Group 1: Internship Group 2: Co-op Group 3: Work Study: ANOVA summary statistics: F-ratio report accurate to 3 decimal placesy treport accurate to 4 decimal places) Conclusion: The oample data suggest the average starting hourly wages are not the same There is not sufficient data to conclude the starting wages are different for the different groups. Box 1: Enter your answer as an integer or decimal number Examples: 3,-4. 5 3172 Enter DNE for Does Not Exist, oo for Infinity Your ansver should be aceurate to 2 decimal places.

Explanation / Answer

Sol:

perform one way ANOVA in excel.

Ho:All three group means are equal

H1:atleast one of the means are different

alpha=0.05

ANSWERS:

gROUP1:12.48

GROUP_2:14.11

GROUP_3:13.16

Fratio=2.522

p=0.0971

Intrepretation:

p>0.05

All three group means are equal

FAIL TO REJECT NULL HYPOTHESIS

THERE IS NOT SUFFICIENT DATA TO CONCLUDE THE STARTING WAGES ARE DIFFERENT FOR THE DIFFERENT GROUPS.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Internship 11 137.25 12.47727 2.130682 Co-op 11 155.25 14.11364 2.729545 Workstudy 11 144.75 13.15909 3.978409 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 14.86364 2 7.431818 2.522499 0.097147 3.31583 Within Groups 88.38636 30 2.946212 Total 103.25 32

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