A psychologist is investigating the hypothesis that children who grow up as the only child in the household develop different personality characteristics than those who grow up in larger families. A sample of n = 25 only children is obtained and each child is given a standardized personality test. For the general population, scores on the test from a normal distribution with a mean of u = 50 and a standard deviation of o = 15.
A. If the mean for the sample is M = 586, can the researcher conclude that there is a significant difference in personality between only children and the rest of the population? Use a two tailed test with .05 (use 2 decimal places)
B. What is the z critical?
C. What is the z?
D. What is the conclusion?