Question

1. 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.(20 pts)

  

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
	44	51
	54

  

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. 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.(20 pts)

5.   

   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
   	44	51
   	54

     

6. 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.)
7. Find the values of mean and standard deviation. (Round the mean and standard deviation values to 3 decimal places.)
8. Is there a difference in the mean attention span of the children for the various commercials?

Answer 1

Given data :

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
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
	44	51
	54

Now,

a) applying one way ANOVA:

Source of Variation	SS	df	MS	F	P- value
Between Groups	3182.0	2	1591.0	35.56	0.0000
Within Groups	1297.5	29	44.7
Total	4479.5	31

b)

Groups	n	bar x	standard deviation
clothes	9	28.000	8.139
food	12	46.417	6.186
toys	11	52.636	5.887

d, e,f,g are same question which are solved above.