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A study of the effect of television commercials on 12-year-old children measured

ID: 3436689 • Letter: A

Question

A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys. At the .05 significance level is there a difference in the mean attention span of the children for the various commercials? Are there significant differences between pairs of means? Do all three comparisons and show your work. PLEASE SHOW WORK!

CLOTHES

FOOD

TOYS

26

45

60

21

48

51

43

43

43

35

53

54

28

47

63

31

42

53

17

34

48

31

43

58

20

57

47

47

51

51

CLOTHES

FOOD

TOYS

26

45

60

21

48

51

43

43

43

35

53

54

28

47

63

31

42

53

17

34

48

31

43

58

20

57

47

47

51

51

Explanation / Answer

We use ANOVA here and excel is ued to do the calculations.

Since p value is < 0.05, we reject the null hypothesis and conclude that atleast one mean is differemnt.

One factor ANOVA Mean n Std. Dev 28.0 9 8.14 CLOTHES 45.9 10 6.28 FOOD 52.6 11 5.89 TOYS 43.0 30 12.26 Total ANOVA table Source SS    df MS F    p-value Treatment 3,130.55 2 1,565.277 34.32 3.84E-08 Error 1,231.45 27 45.609 Total 4,362.00 29