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In: Statistics and Probability

4. A study of the effect of television commercials on 12-year-old children measured their attention span,...

4. 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.

Clothes Food Toys
35 42 56
32 39 42
34 39 53
35 55 60
28 47 63
31 42 53
17 34 48
31 43 58
20 57 47
47 51
44 51
54

  Click here for the Excel Data File

  1. Complete the ANOVA table. Use 0.05 significance level. (Round the SS and MS values to 1 decimal place and F value to 2 decimal places. Leave no cells blank — be certain to enter "0" wherever required. Round the df values to nearest whole number.)
  2. Find the values of mean and standard deviation. (Round the mean and standard deviation values to 3 decimal places.)
  3. Is there a difference in the mean attention span of the children for the various commercials?
  4. Are there significant differences between pairs of means?
Item Length
Clothes 35
Clothes 32
Clothes 34
Clothes 35
Clothes 28
Clothes 31
Clothes 17
Clothes 31
Clothes 20
Food 42
Food 39
Food 39
Food 55
Food 47
Food 42
Food 34
Food 43
Food 57
Food 47
Food 44
Food 54
Toys 56
Toys 42
Toys 53
Toys 60
Toys 63
Toys 53
Toys 48
Toys 58
Toys 47
Toys 51
Toys 51

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