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 22 49 50 20 33 53 48 38 42 35 51 55 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 a. What are the null and alternate hypotheses? b. Complete the ANOVA table. Use 0.05 significance level. (Round the SS and MS values to 1 decimal place, F value, and p-value to 2 decimal places, F crit to 4 decimal places. Leave no cells blank — be certain to enter "0" wherever required.) c. What is the test statistic? (Round your answer to 4 decimal places.) d. What is the p-value? (Round your answer to 4 decimal places.) e. What is your decision regarding the null hypothesis? f. Interpret the result. g. Compute the 95% confidence intervals that estimate the difference between each pair of means. (Negative amount should be indicated by a minus sign. Round your answers to 2 decimal places.) h. Which pairs of means are statistically different? multiple choice Clothes – Food Clothes – Toys Food – Toys All of the above.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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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.

Clothes	Food	Toys
22	49	50
20	33	53
48	38	42
35	51	55
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

a. What are the null and alternate hypotheses?

b. Complete the ANOVA table. Use 0.05 significance level. (Round the SS and MS values to 1 decimal place, F value, and p-value to 2 decimal places, F crit to 4 decimal places. Leave no cells blank — be certain to enter "0" wherever required.)

c. What is the test statistic? (Round your answer to 4 decimal places.)

d. What is the p-value? (Round your answer to 4 decimal places.)

e. What is your decision regarding the null hypothesis?

f. Interpret the result.

g. Compute the 95% confidence intervals that estimate the difference between each pair of means. (Negative amount should be indicated by a minus sign. Round your answers to 2 decimal places.)

h. Which pairs of means are statistically different?

multiple choice