In the population, the average score on a test of self-esteem is 50 (σ= 5)

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In the population, the average score on a test of self-esteem is 50 (σ= 5). You select a random sample of 25 students who score a mean of 53. a. Shine claims that these students don’t have very high self-esteem, because they are only 3 points above the population mean. 

Why can’t she make this claim merely by looking at the X? 

b. What should she do?

c. What is the z-score for this sample?). 

d. What conclusion do you draw about your sample? 

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