Chapter 6, Section 1-D, Exercise 009 Is a Normal Distribution Appropriate? In each case below, is the sample size large enough so that the sample proportions follow a normal distribution?

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Chapter 6, Section 1-D, Exercise 009 Is a Normal Distribution Appropriate? In each case below, is the sample size large enough so that the sample proportions follow a normal distribution?

a) n=600 p=0.2

b) n=20, p=0.4

if np=10 and npq=10 then the data follows normal distribution

a) np = 120,

q = 1-0.2 = 0.8

npq = 600 * 0.2*0.4 = 48

Normal distribution is appropriate and sample size is large enough

b) np = 8

q = 1-0.4 = 0.6

npq = 20 * 0.4*0.6 = 4.8

sample size is not large enough so normal distribution is not appropriate.