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A survey was conducted that asked 1002 people how many books they had road in the past you to indicated that to books and a 1
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Answer #1

sample size =n=1002

sample mean=m=10.7

sample SD=S=16.6

sample size is large so we will use Z test

now 90% confidence interval is given by

m \pm Z_{0.05}*\frac{S}{\sqrt{n}}=10.7 \pm 1.645*\frac{16.6}{\sqrt{1002}}=10.7 \pm 0.86

Hence interval is (9.84,11.56)

90% confidence interval mean we are 90% confident that true population mean lies in this interval hence

option (C) is correct with 9.84 and 11.56

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