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A researcher is measuring the dependent variable of participant\'s\' test score

ID: 3230014 • Letter: A

Question

A researcher is measuring the dependent variable of participant's' test score as a function of whether they ate during the test, and whether they listened to music at various volume of low, medium, or high. Two - Wav ANOVA data. Fill in the missing blocks. Total N = 24; 6 cells w/4 score each. alpha = .05 Degrees of freedom for music: Degrees of freedom for eating: Degrees of freedom for error (within) MS_A: MS_B: MS_both: MS_within/error: F_statA: F_statB: F_statBoth: a. 39.915 a. .065 a. 41.25 a. 2.343 a. 15.729 a. 0.512 a. 18.002 b. 42.871 b. 1.75 b. 46.76 b. 3.429 b. 17.036 b. 0.987 b. 19.957 a. 10 b. 2 c. 1 d. 3 a. 10 b. 2 c. 1 d. 18 a. 10 b. 2 c. 1 d. 18 c. 33.222 c. .607 c. 38.45 c. 4.751 c. 18.956 c. 0.728 c. 22.445 d. 45.039 d. 1.20 d. 48.77 d. 1.990 d. 17.009 d. 0.422 d. 21.007 Conclusions in statistic form with indication of rejecting or accepting the nulls: Music: a. Accept b. Reject Eating: a. Accept b. Reject Both a. Accept b. Reject

Explanation / Answer

29. Degree of freedom for music = a-1 = 3-1 = 2
30. Degree of freedom for eating = b-1 = 2-1 = 1
31. Degree of freedom of error(within) = ab(r-1) = 3*2*(4-1) = 18
32. MSA = SSA/Degree of freedom for music = 79.83/2 = 39.915
33. MSB = SSB/Degree of freedom for eating = 1.20/1 = 1.20
34. MSBoth = SSBoth/dfBoth = 93.52/2 = 46.76
35. MSWithin/error = SSwithin/error/ Degree of freedom of error(within) = 42.17/18 = 2.343
36. FstatA = MSA/MSWithin/error = 39.915/2.343 = 17.036
37. FstatB = MSB/MSWithin/error = 1.20/2.343 = 0.512
38. FstatBoth = MSBoth/MSWithin/error = 46.76/2.343 = 19.957
39. Music: p-value for F = 17.036 and df = 2,18 is less than 0.05, the option "Reject" is correct
40. Eating: p-value for F = 0.512 and df = 1,18 is (0.4835) greater than 0.05, the option "Accept" is correct
41. Both: p-value for F = 46.76 and df = 2,18 is less than 0.05, the option "Reject" is correct

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