Question

Jane wants to know if children who grow up as only children develop different personality characteristics than those who grow up in larger families. She recruits a sample of 36 participants who are only children and gives them a standardized personality test. For the general population, scores on the test form a normal distribution with a mean of 50 and a standard deviation of 15. Jane’s sample has an average score of 58. Can Jane conclude that, on average, only children have significantly different personality when compared to the 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 hypotheses 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. Write a concluding sentence in everyday language.

7. Calculate and evaluate Cohen’s d.

Answer 1