In a study of marital satisfaction,a random sample of 12 couples married for bet

Question

In a study of marital satisfaction,a random sample of 12 couples married for between five and fifteenyears was obtained. Each couple was interviewed by the researcherand rated on a marital cohesion (MC) scale (1-10). In addition,each partner (male and female) completed a marital satisfaction(MS) scale (1-20). Scores were computed for each partner separatelyand a discrepancy index was computed for each couple. The data isas follows:


Couple ID #
MaritalCohesion
Marital SatisfactionMales
Marital SatisfactionFemales
1 6
16
15
2 9 18
14
3
7
15
14
4
5
16
18
5
4
11
14
6
9
10
9
7
10
14
14
8
7
15
12
9
5
20
15
10
7
15
9
11
9
14
10
12
10
17
16
        x=               88                          181                                160
        (x2) =    692       2,813           2,220


While reading a published research report, you encounterthe following. "When we examined the perceptual skills data, themean of 65 from the sample of adolescents differed significantlyfrom the population mean of 70 for adults, t(59) = 8.12,p<.01"

a. What is the N?
b. What procedure was performed?
c. What is the result in terms of accepting or rejecting the nullhypothesis? Support your answer by discussing the p value or thetcrit Table.
d. What is the Sx? Calculate.
e. Does the sample of adolescents differ significantly from thepopulation mean? Support your answer.
In a study of marital satisfaction,a random sample of 12 couples married for between five and fifteenyears was obtained. Each couple was interviewed by the researcherand rated on a marital cohesion (MC) scale (1-10). In addition,each partner (male and female) completed a marital satisfaction(MS) scale (1-20). Scores were computed for each partner separatelyand a discrepancy index was computed for each couple. The data isas follows:


Couple ID #
MaritalCohesion
Marital SatisfactionMales
Marital SatisfactionFemales
1 6
16
15
2 9 18
14
3
7
15
14
4
5
16
18
5
4
11
14
6
9
10
9
7
10
14
14
8
7
15
12
9
5
20
15
10
7
15
9
11
9
14
10
12
10
17
16
        x=               88                          181                                160
        (x2) =    692       2,813           2,220


While reading a published research report, you encounterthe following. "When we examined the perceptual skills data, themean of 65 from the sample of adolescents differed significantlyfrom the population mean of 70 for adults, t(59) = 8.12,p<.01"

a. What is the N?
b. What procedure was performed?
c. What is the result in terms of accepting or rejecting the nullhypothesis? Support your answer by discussing the p value or thetcrit Table.
d. What is the Sx? Calculate.
e. Does the sample of adolescents differ significantly from thepopulation mean? Support your answer.
In a study of marital satisfaction,a random sample of 12 couples married for between five and fifteenyears was obtained. Each couple was interviewed by the researcherand rated on a marital cohesion (MC) scale (1-10). In addition,each partner (male and female) completed a marital satisfaction(MS) scale (1-20). Scores were computed for each partner separatelyand a discrepancy index was computed for each couple. The data isas follows:


Couple ID #
MaritalCohesion
Marital SatisfactionMales
Marital SatisfactionFemales
1 6
16
15
2 9 18
14
3
7
15
14
4
5
16
18
5
4
11
14
6
9
10
9
7
10
14
14
8
7
15
12
9
5
20
15
10
7
15
9
11
9
14
10
12
10
17
16
        x=               88                          181                                160
        (x2) =    692       2,813           2,220


While reading a published research report, you encounterthe following. "When we examined the perceptual skills data, themean of 65 from the sample of adolescents differed significantlyfrom the population mean of 70 for adults, t(59) = 8.12,p<.01"

a. What is the N?
b. What procedure was performed?
c. What is the result in terms of accepting or rejecting the nullhypothesis? Support your answer by discussing the p value or thetcrit Table.
d. What is the Sx? Calculate.
e. Does the sample of adolescents differ significantly from thepopulation mean? Support your answer.

Explanation / Answer

The second is a reference toreport, unseen data, but you infer that Ho was rejected, Ha wasaccepted, mean 65 for adolescents not the same as 70 for adults,again p very significant, it was interpreted at 59 degrees offreedom (very high), t value 8.12 (very high), p<0.10 (verysmall. It perhaps had 60=N since df=59. IT was a t test, and ift=8.12 then 5=8.12 times sd.

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