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
10.5	8.25	12.5
10.75	9.5	13
12.25	10.5	11.75
15	12.75	10.5
11	11.75	13.75
12	10	12.75
14.25	12	13.25

Use technology to conduct a one-factor ANOVA to determine if the group means are equal using α=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 places)
p= _____
(report accurate to 4 decimal places)

Answer 1

Output using excel:

SUMMARY
Groups	Count	Sum	Average	Variance
Group 1: Internship	7	85.75	12.25	3.083333
Group 2: Co-op	7	74.75	10.67857	2.494048
Group 3: Work Study	7	87.5	12.5	1.166667
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	13.64881	2	6.824405	3.035746	0.073101	3.554557
Within Groups	40.46429	18	2.248016
Total	54.1131	20

Group mean:

Group 1: Internship = 12.25
Group 2: Co-op = 10.68
Group 3: Work Study = 12.50

Null and Alternative Hypothesis:
Ho: µ1 = µ2 = µ3
H1: At least one mean is different.

F-ratio = 3.036

p= 0.0731

P-value > α, Do not reject the null hypothesis.