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The table below summarizes the mean psychological distress score of persons who are married to or...

The table below summarizes the mean psychological distress score of persons who are married to or cohabiting with a romantic partner and those who are not. Psychological distress is a scale of feelings of depression and anxiety, ranging from 0 to 24, where higher scores indicate more distress. In answering these questions, show all of your work.

Mean

Standard Deviation

N

Married/cohabiting

4.25

4.04

831

Not in a relationship

5.51

5.08

559

1. Construct a 95% confidence interval for psychological distress for respondents who are married to or cohabiting with a romantic partner.

2. Construct a 95% confidence interval for psychological distress for respondents who are not in a romantic relationship.

3. Compare the relative width of these two confidence intervals. Why do they differ?

4. Interpret one of these confidence intervals

5. Construct a 68% interval for respondents who are married to or cohabiting with a romantic partner.

Solutions

Expert Solution

1.

95% confidence interval for psychological distress for respondents who are married to or cohabiting with a romantic partner is (3.975, 4.525).

2.

95% confidence interval for psychological distress for respondents who are not in a romantic relationship is (5.088, 5.932).

3. Since the above two 95% CIs are completely disjoint so we are 95% confident that they are different.

4.

68% interval for respondents who are married to or cohabiting with a romantic partner is (4.1106,4.3894).

milcah answered 7 months ago
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