Questions This problem is based on problems I1.4 & 11.5 from Lomax & Hahs-Vaughn

Question

Questions This problem is based on problems I1.4 & 11.5 from Lomax & Hahs-Vaughn, 3rd ed. Q1 (0/1) Q2 (0/1) 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) Grade: 0/2 Group 1: InternshipGroup 2: Co-opGroup 3: Work Study 10.5 15.25 9.5 Print Version 14.5 10.25 15.25 12 13.25 11.75 10.5 11.75 10.5 11.5 14.25 13.25 e., groups in each column) to serial format fo 12 14.75 13.5 13.75 12.75 15.75 12.25 12.25 13.25 8.75 8.5 Do not orget SPSS to convert this table from parallel format (o r analysis in . Use SPSS (or another statistical software package) to conduct a one-factor ANOVA to determine if the group means are equal using a 0.02. Though not specifically assessed here, you are encouraged to also test the assumptions, plot the group means, and interpret the results Group mcans (report to 2 decimal placcs) roup 1: Internship Group 2: Co-op Group 3: Work Study: ANOVA summary statistics: F-ratio = (report accurate to 3 decimal places) (report accurate to 4 decimal places)

Explanation / Answer

using excel

grand means

F =

p-value =

since p-value > 0.02

we fail to reject the null hypothesi

A) there is not sufficient evidence that means are different

Anova: Single Factor SUMMARY Groups Count Sum Average Variance internship 10 119 11.9 5.197222222 co-op 10 114.5 11.45 1.886111111 work study 10 133.5 13.35 3.35 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 19.71666667 2 9.858333333 2.834664537 0.076298835 3.35413083 Within Groups 93.9 27 3.477777778 Total 113.6166667 29

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