QUESTION: A researcher wants to investigate the effect of playing music while st

Question

QUESTION: A researcher wants to investigate the effect of playing music while studying on grades. He decides to conduct a study using a two-factor ANOVA to compare students playing music while studying with students who do not play music while studying. Grades were converted into six categories numbered 0 to 5 ranging from low to high. Based on the results below, evaluate the mean differences using a Two-Factor ANOVA with a=.05 and describe the pattern of results by selecting the best answer.

Middle School High School College No Music 3 5 5 No Music 5 5 4 No Music 5 2 2 No Music 3 4 5 Music 5 1 1 Music 3 2 0 Music 2 3 0 Music 2 2 3

Explanation / Answer

applying two way ANOVA on above:

as p vlaue for musis is less then 0.05 level while for others it is higher than 0.05 level

hence correct option is:

There is a significant Main Effect for Music use but no other Main Effect and no interaction. Grades are significantly lower for those who play music while studying.

Source of Variation SS df MS F P-value music 24 1 24 14.4 0.0013 school level 4 2 2 1.2 0.3242 Interaction 4 2 2 1.2 0.3242 error 30 18 1.666667 Total 62 23

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