The following three independent random samples are obtained from three normally distributed populations with equal variances.  The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). 

Work Study	Co-op	Internship
13.62	13.58	15.63
13.58	13.12	15.35
13.04	15.91	15.74
12.89	14.67	15.46
13.76	15.07	16.59
13.87	13.39	16.23
12	15.59	15.09
12.75	16.27	14.94
12.32	14.23	15.25
13.13	12.23	15.34
13.04	15.09
11.86	13.29
12.69	15.53
12.71	14.84
13.01	10.72
	15.48
	12.89
	11.74
	12.77
	13.99
	14.58
	17.16
	14.06
	14.78

Software was used to conduct a one-way ANOVA to determine if the means are equal using $\displaystyle \alpha={0.10}$.  

	Sample Mean	Sample Size
Work Study	12.95133	15
Co-op	14.2075	24
Internship	15.562	10

ANOVA Table:

	SS	df	MS	F	p-value
Between	41.4433	2	20.7217	15.8133	6.0E-6
Within	60.2802	46	1.3104
Total	101.7235

Perform a Bonferroni test to see which means are significantly different. Round answers to at least 4 decimal places.

What is the Bonferroni test statistic between groups 1 & 2?

What is the p-value for the Bonferroni test between groups 1 & 2?

Is there a statistically significant difference between $\displaystyle \mu_{{1}}$ and $\displaystyle \mu_{{2}}?$ ? Yes No

What is the Bonferroni test statistic between groups 1 & 3?

What is the p-value for the Bonferroni test between groups 1 & 3?

Is there a statistically significant difference between $\displaystyle \mu_{{1}}$ and $\displaystyle \mu_{{3}}?$ ? Yes No

What is the Bonferroni test statistic between groups 2 & 3?

What is the p-value for the Bonferroni test between groups 2 & 3?

Is there a statistically significant difference between $\displaystyle \mu_{{2}}$ and $\displaystyle \mu_{{3}}?$ ? No Yes