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 32 34 35 55 47 31 17 31 20 47 +888493864*3 42 53 60 63 42 53 48 58 ក្លិនផខខខខខខ 51 51 54 Click here for the Excel Data File a. What are the null and alternate hypotheses? Ho: ("Clothes = "Food Toys or Clothes #Food #Toys) Clothes = µFood = μToys H₁: (All means are equal or Not all means are equal) Not all means are equal 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.) Source of Variation SS df MS p-value F crit Treatement Error Total c. What is the test statistic? (Round your answer to 4 decimal places.) The test statistic is d. What is the p-value? (Round your answer to 4 decimal places.) The p-value is e. What is your decision regarding the null hypothesis? Decision: (Reject or Do Not Reject) f. Interpret the result. There is (a difference or no difference) Ho in the mean attention span. 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.) The interval for the difference between lines Clothes and Food is from The interval for the difference between lines Clothes and Toys is from The interval for the difference between lines Food and Toys is from h. Which pairs of means are statistically different? Select the correct letter) a Clothes - Food b Clothes - Toys © Food - Toys d All of the above.
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 32 34 35 55 47 31 17 31 20 47 +888493864*3 42 53 60 63 42 53 48 58 ក្លិនផខខខខខខ 51 51 54 Click here for the Excel Data File a. What are the null and alternate hypotheses? Ho: ("Clothes = "Food Toys or Clothes #Food #Toys) Clothes = µFood = μToys H₁: (All means are equal or Not all means are equal) Not all means are equal 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.) Source of Variation SS df MS p-value F crit Treatement Error Total c. What is the test statistic? (Round your answer to 4 decimal places.) The test statistic is d. What is the p-value? (Round your answer to 4 decimal places.) The p-value is e. What is your decision regarding the null hypothesis? Decision: (Reject or Do Not Reject) f. Interpret the result. There is (a difference or no difference) Ho in the mean attention span. 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.) The interval for the difference between lines Clothes and Food is from The interval for the difference between lines Clothes and Toys is from The interval for the difference between lines Food and Toys is from h. Which pairs of means are statistically different? Select the correct letter) a Clothes - Food b Clothes - Toys © Food - Toys d All of the above.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
Related questions
Question
Transcribed Image Text: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
32
34
35
55
47
31
17
31
20
47
+888493864*3
42
53
60
63
42
53
48
58
ក្លិនផខខខខខខ
51
51
54
Click here for the Excel Data File
a. What are the null and alternate hypotheses?
Ho: ("Clothes = "Food Toys or Clothes #Food #Toys) Clothes = µFood = μToys
H₁: (All means are equal or Not all means are equal) Not all means are equal
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.)
Source of Variation
SS
df
MS
p-value
F crit
Treatement
Error
Total
c. What is the test statistic? (Round your answer to 4 decimal places.)
The test statistic is
d. What is the p-value? (Round your answer to 4 decimal places.)
The p-value is
e. What is your decision regarding the null hypothesis?
Decision: (Reject or Do Not Reject)
f. Interpret the result.
There is (a difference or no difference)
Ho
in the mean attention span.
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.)
The interval for the difference between lines Clothes and Food is from
The interval for the difference between lines Clothes and Toys is from
The interval for the difference between lines Food and Toys is from
h. Which pairs of means are statistically different? Select the correct letter)
a Clothes - Food
b Clothes - Toys
© Food - Toys
d All of the above.
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