Refer to Exercise 10.43. Find the sample sizes that give ?

Chapter 10, Problem 44E

(choose chapter or problem)

Problem 44E

Refer to Exercise 10.43. Find the sample sizes that give α = .05 andβ = .05whenμ1 −μ2 = 3.

(Assume equal-size samples for each group.)

Reference

A random sample of 37 second graders who participated in sports had manual dexterity scores with mean 32.19 and standard deviation 4.34. An independent sample of 37 second graders who did not participate in sports had manual dexterity scores with mean 31.68 and standard deviation 4.56.

a Test to see whether sufficient evidence exists to indicate that second graders who participate in sports have a higher mean dexterity score. Use α = .05.

b For the rejection region used in part (a), calculate β when μ1 − μ2 = 3.