The following table lists the number of pages in four different types of magazines.
Home decorating | News | Health | Computer |
---|---|---|---|
168 | 84 | 79 | 99 |
284 | 89 | 151 | 131 |
161 | 121 | 84 | 92 |
202 | 104 | 97 | 205 |
192 | 99 | 94 | 140 |
Using a significance level of 5%, test the hypothesis that the four
magazine types have the same average length. (Let 1 = Home
decorating, 2 = News, 3 = Health and 4 = Computer.)
A. Enter an exact number as an integer, fraction, or
decimal.
df(num) =
B. Enter an exact number as an integer, fraction, or decimal.
df(denom) =
C. What is the test statistic? (Round your answer to two decimal
places.)
D. What is the p-value? (Round your answer to four decimal
places.)
F. What is the alpha? (Enter an exact number as an integer, fraction, or decimal.)
The statistical software output for this problem is:
From above output:
a) df(Num) = 3
b) df(Denom) = 16
c) Test statistic = 8.31
d) p - Value = 0.0015
e) Alpha = 0.05
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