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Assuming a normal population distribution with ? = 100 and ?x = 16, what is the probability of obtai

Question: Assuming a normal population distribution with μ = 100 and σx = 16, what is the probability of obtaining the following means for groups of participants chosen randomly?

(a) Mean X = 108 or higher, N = 16

(b) Mean X = 100 or higher, N = 100

(c) Mean X = 102 or higher, N = 100

(d) Mean X = 98 or higher, N = 64

(e) Mean between 98 and 104, N = 16

(f) Mean between 96 and 98, N = 4

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