Question

Oishi and Shigehiro (2010) report that people who move from home to home frequently as children tend to have lower than average well-being as adults. To further examine this relationship, a psychologist obtains a sample of 12 young adults who each experienced 5 or more different homes before they were 16 years old. These participants were given a standardized questionnaire for which the general population has an average score of 40. For this sample, the average well-being score was 37 with a standard deviation of 3.3. On this basis, is well-being for frequent movers significantly different from well-being in general population? In the space below, type in the answers to the following questions:

1. Which statistical test would you use to solve this problem?

2. State the null and alternative hypothesis in words.

3. Locate the critical value that defines the critical region.

4. Calculate your statistic.

5. Make a decision with respect to the null hypothesis.

6. White a concluding sentence in everyday language.

7. Calculate and evaluate both measures of effect size (Cohen’s d and r²)

8. Construct a 95% confidence interval for the mean.

Answer 1

1) One would use the t-test for significance of one sample mean.

2) The hypothesis are:

H0: The well-being for the frequent movers is same as well-being in general population. xbar = mu

H1: The well-being for the frequent movers is different from well-being in general population. xbar not equal to mu

3) The critical value is t(0.975) at 11 degrees of freedom.

tcrit = 2.593

4) The test statistic is given as:

t = 3.1492

5) Since, the value of the test statistic is greater than the critical value, we reject the null hypothesis at 5% level of significance.

6) This means that at 5% level of significance, the well-being of the frequent movers is significantly different from the well-being in general population.

(We can only do 4 parts of the given question. Kindly publish rest of the parts as a seperate problem.)