Question

A random sample of residential energy consumption in three regions of the U.S. during four winter months of 2015 are shown in the table below. Assume that the populations are normal and independent. Also, assume that the distributions have equal variances. At the 5% significance level, does the data provide sufficient evidence to conclude that a difference exists the mean residential energy consumption among the three regions?

Midwest	South	West
143	130	136
121	105	141
116	121	165
132	110	128
115	124
	122

Which of the following is the correct alternative hypothesis?

H1:Two or more of the ui's are different

H1:u1=u2=u3

H1:u1=/u2=/u3

What is the p-value?

Answer 1

The statistical software output for this problem is:

From above output:

H1: Two or more of the ui's are different.

P - value = 0.0307