The height of women ages​ 20-29 is normally​ distributed, with a mean of 63.8 inches. Assume σ=2.6 inches. Are you more likely to randomly select 1 woman with a height less than 65 inches or are you more likely to select a sample of 27 women with a mean height less than 65 ​inches? Explain. What is the probability of randomly selecting 1 woman with a height less than 65 ​inches? What is the probability of selecting a sample of 27 women with a mean height less than 65 ​inches?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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The height of women ages​ 20-29 is normally​ distributed, with a mean of 63.8 inches. Assume σ=2.6 inches. Are you more likely to randomly select 1 woman with a height less than 65 inches or are you more likely to select a sample of 27 women with a mean height less than 65 ​inches? Explain.

What is the probability of randomly selecting 1 woman with a height less than 65 ​inches?

What is the probability of selecting a sample of 27 women with a mean height less than 65 ​inches?

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