Use the following for questions 1 through 5: Does listening to music aid short-t

Question

Use the following for questions 1 through 5: Does listening to music aid short-term memory? A student researcher addressed this question by randomly assigning 90 volunteers to one of three groups. The first group studied a list of 30 words for five minutes while listening to Beethoven, the second group studied the same list of words while listening to rapper Matisyahu, and the third group studied the words in silence. All subjects were then asked to write down as many of the words as they could remember, and One-way analysis of Variance was performed on the variable Number of words recalled. Here are the results. Which of the following is the appropriate alternative hypothesis for the ANOVA F test in this situation? A) The variables "Number of words recalled" and "Music" are independent. B) The mean number of words recalled is lowest for the 30 subjects who listened to Beethoven. C) The mean number of words recalled is the same for all three treatments. D) The mean number of words recalled is different for at least one treatment. E) The mean number of words recalled is different for each treatment. Which of the following is the correct F-distribution for the ANOVA test comparing these three means? A) F(87) B) F(89) C) F(2, 87) D) F(2, 89) E) F(87, 89)

Explanation / Answer

1) The mean number of words recalled is different for at least one treatment.

Option D.

2) F(2 , 87) i.e. F(Df of trt , Df of error)

Option C

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