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1. The value of the z score in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant explain how the value of z is influenced by each of the following:
a. increasing the difference b/w the sample mean and the original population mean.
b.increasing the population standard deviation.

2. If the alpha level is changed from a = .05 to a = .01,
a. What happens to the boundaries for the critical regions?
b. What happens to the probability of a type I error?

3. Childhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of n = 100 adolescents with a history of group participation is given a standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of µ = 40 and a standard deviation of σ = 12. The sample of group-participation adolescents had an average of M = 43.84. Does this sample provide enough evidence to conclude that self-esteem scores for group-participation adolescents are significantly different from those of the general population? Use a two-tailed test with α = .01.

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