Question

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

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
34 38 64
30 34 50
44 51 39
35 42 48
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.)

Source df SS MS F p

Factors

Error

Total

  1. Find the values of mean and standard deviation. (Round the mean and standard deviation values to 3 decimal places.)
Level N Mean StDev
Clothes
Food
Toys
  1. Is there a difference in the mean attention span of the children for the various commercials?

The hypothesis of identical means can definility be ............................... There is ....................... in the mean attention span.

  1. Are there significant differences between pairs of means?

clothes have a mean attention span of a least ten minutes .......................... the other groups .

Homework Answers

Answer #1
Anova: Single Factor
SUMMARY
Groups Count, N Sum Mean Variance Std Dev.
Clothes 9 270 30 64 8
Food 12 533 44.417 52.629 7.255
Toys 11 572 52 53.4 7.308
ANOVA
Source of Variation SS df MS F P-value
Between Groups 2436.1 2 1218.0 21.74 0.0000
Within Groups 1624.9 29 56.0
Total 4061.0 31

3.

The hypothesis of identical means can definitely be rejected. There is a difference in the mean attention span.

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