question, that follow Case 1. Use the following info to answer \'be , The FOG in

Question

question, that follow Case 1. Use the following info to answer 'be , The FOG index is used to measure the reading difficulty of a written test. The higher the value of the index. the more difficult the reading material. A researcher wants to know if the reading dafficulty index is different for the three magazines viz. The Economist, Bloomberg Businessweek, and Money. An independent random sample of six features each is taken from The Economist, Bloomberg Businessweek, and Money, and the FOG indices for the eighteen are measured, as recorded in the Table below ANOVA: Single Factor The Economist 69 11.5 73 7.3 7.9 10 Money 36 4-564 ANOVA ariation P-yaleeFerit Between Groups Within Groups 2 49.389 XXXXXxX 7.204 0.006414 XXXXX 102.833 Total Which of the following would be the appropriate alternative hypothesis to test a difference in the mean FOG indices for the three magazines? I. -E. Ha: Not all mean FOGs are equal

Explanation / Answer

1)
option E)not all means are equal is correct

2)
SS_within group = 102.833 {see the table row within group , column SS
D is correct

3)
F-stat = 7.204
E is correct

4)
df1 = 2 ,df2 = 17-2=15
F = =F.INV.RT(0.05,2,15)
= 3.6823

5)
since TS > critical value
p-value < alpha (0.05)

p-value =0.00641

hence
E) less than 1 % is correct

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