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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