This is a statistical class mixed with psychology. Please explain how you got your answers Question 23. experimenter wants to know if having a pet or friend present while taking a stressful math test helps reduce anxiety. She recruits 120 people to participate in the study and each person takes a difficult math test under a strict time limit. The participants are also randomly assigned to take the test alone, with a friend in the room, or with a therapy dog in the room. After taking the test, participants completed a survey that assessed how stressful they found the test. Scores on the stress survey were measured on an interval scale and higher numbers indicated greater stress.Which of the following facts suggests that the data independence assumption was met?Group of answer choicesThe standard deviations in the three groups are similar.The sample sizes for each group are greater than 30.Each participant completed the stress survey independently.The three conditions are clearly defined and the stress survey scores arre measured on an interval scale.Question 22. An experimenter wants to know if having a pet or friend present while taking a stressful math test helps reduce anxiety. She recruits 120 people to participate in the study and each person takes a difficult math test under a strict time limit. The participants are also randomly assigned to take the test alone, with a friend in the room, or with a therapy dog in the room. After taking the test, participants completed a survey that assessed how stressful they found the test. Scores on the stress survey were measured on an interval scale and higher numbers indicated greater stress.Which of the following facts suggests that the homogeniety of variance assumption was met?Group of answer choicesThe sample sizes for each group are greater than 30.The standard deviations in the three groups are similar.The three conditions are clearly defined and the stress survey scores arre measured on an interval scale.Each participant completed the stress survey independently.Question 24. An experimenter wants to know if having a pet or friend present while taking a stressful math test helps reduce anxiety. She recruits 120 people to participate in the study and each person takes a difficult math test under a strict time limit. The participants are also randomly assigned to take the test alone, with a friend in the room, or with a therapy dog in the room. After taking the test, participants completed a survey that assessed how stressful they found the test. Scores on the stress survey were measured on an interval scale and higher numbers indicated greater stress.Which of the following facts suggests that the appropriate measurement assumption was met?Group of answer choicesThe standard deviations in the three groups are similar.The sample sizes for each group are greater than 30.The three conditions are clearly defined and the stress survey scores are measured on an interval scale.Each participant completed the stress survey independently.Question 25. An experimenter wants to know if having a pet or friend present while taking a stressful math test helps reduce anxiety. She recruits 120 people to participate in the study and each person takes a difficult math test under a strict time limit. The participants are also randomly assigned to take the test alone, with a friend in the room, or with a therapy dog in the room. After taking the test, participants completed a survey that assessed how stressful they found the test. Scores on the stress survey were measured on an interval scale and higher numbers indicated greater stress.What is the symbolic null hypothesis (H0) for this study?Group of answer choicesμ 1 ≠ μ 2 ≠ μ 3 μ 1 ≠ μ 2 a n d / o r μ 1 ≠ μ 3 a n d / o r μ 2 ≠ μ 3μ 1 = μ 2 a n d / o r μ 1 = μ 3 a n d / o r μ 2 = μ 3μ 1 = μ 2 = μ 3 Question 26. An experimenter wants to know if having a pet or friend present while taking a stressful math test helps reduce anxiety. She recruits 120 people to participate in the study and each person takes a difficult math test under a strict time limit. The participants are also randomly assigned to take the test alone, with a friend in the room, or with a therapy dog in the room. After taking the test, participants completed a survey that assessed how stressful they found the test. Scores on the stress survey were measured on an interval scale and higher numbers indicated greater stress.What is the verbal null hypothesis (H0) for this study?Group of answer choicesThe mean stress survey scores for all populations are not equal.The mean stress survey scores for all populations are equal.At least one of the populations’ mean stress survey scores is not equal to at least one of the other populations’ mean stress survey scores.At least one of the populations’ mean stress survey scores is equal to at least one of the other populations’ mean stress survey scores.Question 27. An experimenter wants to know if having a pet or friend present while taking a stressful math test helps reduce anxiety. She recruits 120 people to participate in the study and each person takes a difficult math test under a strict time limit. The participants are also randomly assigned to take the test alone, with a friend in the room, or with a therapy dog in the room. After taking the test, participants completed a survey that assessed how stressful they found the test. Scores on the stress survey were measured on an interval scale and higher numbers indicated greater stress.What is the symbolic research hypothesis (H1) for this study?Group of answer choicesμ 1 ≠ μ 2 ≠ μ 3 μ 1 = μ 2 = μ 3 μ 1 ≠ μ 2 a n d / o r μ 1 ≠ μ 3 a n d / o r μ 2 ≠ μ 3Question 29. An experimenter wants to know if having a pet or friend present while taking a stressful math test helps reduce anxiety. She recruits 120 people to participate in the study and each person takes a difficult math test under a strict time limit. The participants are also randomly assigned to take the test alone, with a friend in the room, or with a therapy dog in the room. After taking the test, participants completed a survey that assessed how stressful they found the test. Scores on the stress survey were measured on an interval scale and higher numbers indicated greater stress.Use the SPSS ouput below to fill in the summary table values. Report the SS, MS, F, and η 2 values to 2 decimal places.Source of VarianceSSdfMSFη 2Between TreatmentsWithin Treatments (Error)TotalSSbetween treatments = dfbetween treatments = MSbetween treatments = F = η 2 = SSwithin treatments (error) = dfwithin treatments (error) = MSwithin treatments (error) = SStotal = dftotal =Descriptive Statistics
Dependent Variable: Stress
Group
Mean
Std. Deviation
N
Dog
40.8430
11.26156
40
Friend
57.5624
12.76529
40
Alone
52.0676
13.70089
40
Total
50.1577
14.32861
120
Tests of Between-Subjects Effects
Dependent Variable: Stress
Type III
Source
Sum
df
Mean
Of Squares
Square
Corrected Model
5809.693a
2
2904.847
F
Partial Eta
Squared
Sig.
18.251
.000
.238
301895.067
1
301895.067
1896.764
.000
.942
5809.693
2
2904.847
18.251
.000
.238
Error
18622.099
117
159.163
Total
326326.859
120
24431.792
119
Intercept
Group
Corrected Total
a. R Squared = .238 (Adjusted R Squared = .225)
Post Hoc Tests
Group
Multiple Comparisons
Dependent Variable: Stress
Tukey HSD
Mean
(I) group
(J) group
Difference (IJ)
Dog
Friend
-16.7195*
Alone
-11.2246*
Friend
Dog
16.7195*
Alone
5.4948
Alone
Dog
Friend
11.2246*
-5.4948
Based on observed means.
The error term is Mean Square (Error) = 159.163
*.The mean difference is significant at the .05 level.
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
2.82102
.000
-23.4163
-10.0226
2.82102
2.82102
.000
.000
-17.9215
10.0226
-4.5278
23.4163
2.82102
2.82102
.130
.000
-1.2020
4.5278
-12.1917
12.1917
17.9215
2.82102
.130
1.2020
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