Question

Oishi and Shigehiro (2010) report that people who move from home to home frequently as children tend to have lower than average levels of well-being as adults. To further examine this relationship, a psychologist obtains a sample of n = 12 young adults who each experienced 5 or more different homes before they were 16 years old. These participants were given a standardized well-being questionnaire for which the general population has an average score of μ = 40. The well-being scores for this sample are as follows: 38, 37, 41, 35, 42, 40, 33, 33, 36, 38, 32, 39.

1. On the basis of this sample, is well-being for frequent movers significantly different from well-being in the general population? Use a two-tailed test with α = .05.  (1 pt)
2. Compute the estimated Cohen’s d to measure the size of the difference. Be sure to interpret your findings. (1 pt)
3. Write a sentence showing how the outcome of the hypothesis test and the measure of effect size would appear in a research report. (1 pt)

Please show work ( how SS, s, and p-value were found)

Answer 1

We have sample

38, 37, 41, 35, 42, 40, 33, 33, 36, 38, 32, 39

from above sample

: Average  well-being score for frequent movers

a)

We wish to test

We have

Test Statistics

P.Value : Since it is two tailed test, df=n-1=12-1=11

Since 0.0089<0.05 .i.e PValue<Significance level

therefore we reject Ho at 5% level of significance

b)

We can seethat Cohen'd is 0.9159 > 0.8 which indicates large effect size

c)

Conclusion : Based on above two output ,Since we reect Ho in part a) We can conclude that we have enough evidnce to claim that Mean well-being score for frequent movers significantly different from Mean well-being score in the general population and we have Large effect size in part b) which indicates large enough difference in Mean well-being score for frequent movers and Mean well-being score in the general population.

Finally We can conclude that well-being for frequent movers significantly different from well-being in the general population