1. Which of the following is consistent with the alternative hypothesis for the interaction of factors A and B in a two-factor analysis of variance?   a. The mean differences between treatment conditions are what would be predicted from the overall main effects of Factors A and B.   b. µA = µB   c. µA ≠ µB   d. The mean differences between treatment conditions are not what would be predicted from the overall main effects of Factors A and B. 2. A researcher uncovers that there is a significant interaction between the factor of marital status (i.e., married or non-married) and participant sex (i.e., male or female) regarding well-being among a sample with n = 6 participants in each condition. A researcher decides to compare the difference in well-being between married men and women. The MSwithin treatments from the original two-factor analysis is MSwithin treatments = 1.00. using the matrix below to test this simple main effect, which is the appropriate decision using an alpha level of α = .05?                                          Participant Sex ​   Males                                                                      Females __________________________________________________________________    n = 6                                                                         n = 6                       N = 12 M = 4                                                                       M = 5                       G = 54 T = 24                                                                       T = 30   a. Fail to reject the null hypothesis and conclude there is not a significant difference in well-being between males and females who are not married.   b. Fail to reject the null hypothesis and conclude there is not a significant difference in well-being between males and females who are married.   c. Reject the null hypothesis and conclude there is a significant difference in well-being between males and females who are not married.   d. Reject the null hypothesis and conclude there is a significant difference in well-being between males and females who are married.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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1. Which of the following is consistent with the alternative hypothesis for the interaction of factors A and B in a two-factor analysis of variance?

  a.
The mean differences between treatment conditions are what would be predicted from the overall main effects of Factors A and B.
  b.
µA = µB
  c.
µA ≠ µB
  d.
The mean differences between treatment conditions are not what would be predicted from the overall main effects of Factors A and B.

2. A researcher uncovers that there is a significant interaction between the factor of marital status (i.e., married or non-married) and participant sex (i.e., male or female) regarding well-being among a sample with n = 6 participants in each condition. A researcher decides to compare the difference in well-being between married men and women. The MSwithin treatments from the original two-factor analysis is MSwithin treatments = 1.00. using the matrix below to test this simple main effect, which is the appropriate decision using an alpha level of α = .05?

                                       

 Participant Sex

  Males                                                                      Females

__________________________________________________________________

   n = 6                                                                         n = 6                       N = 12

M = 4                                                                       M = 5                       G = 54

T = 24                                                                       T = 30

  a.
Fail to reject the null hypothesis and conclude there is not a significant difference in well-being between males and females who are not married.
  b.
Fail to reject the null hypothesis and conclude there is not a significant difference in well-being between males and females who are married.
  c.
Reject the null hypothesis and conclude there is a significant difference in well-being between males and females who are not married.
  d.
Reject the null hypothesis and conclude there is a significant difference in well-being between males and females who are married.
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