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An analyst collects a sample of 50 P/E r...

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题目

An analyst collects a sample of 50 P/E ratios of stocks that are representative of the market. The mean P/E of these stocks is 20 and the standard deviation is 8.5. What is the 95 percent confidence interval for the mean P/E of stocks in this market?

选项

A.17.21 to 22.79

B.17.64 to 22.36

C.18.02 to 21.98

D.18.31 to 21.69

答案

B

解析

The 95% confidence interval=μ+/-1.96 × σ/ √n =20+/-1.96× 8.5/√50=(17.6439,22.3561) 95%的置信区间 =μ+/-1.96 × σ/ √n =20+/-1.96× 8.5/√50=(17.6439,22.3561)