Eliminate one magazine type that you now feel has a mean len

Eliminate one magazine type that you now feel has a mean length different from the others. Redo the hypothesis test, testing that the remaining three means are statistically the same. Use a new solution sheet. Based on this test, are the mean lengths for the remaining three magazines statistically the same?

Home decorating

News

Health

Computer

172

87

82

104

286

94

153

136

163

123

87

98

205

106

103

207

197

101

96

146

Solution

The test hypothesis:

Ho: all mean are equal

Ha: at least one mean is different

The test statistic is

F=8.69

The p-value of F test is 0.0012 (from F table)

Assume that the significant level a=0.05

Since the p-value is less than 0.05, we reject Ho.

So we can not conclude that the mean lengths for the remaining three magazines are statistically the same