The height of women ages​ 20-29 is normally​ distributed, with a mean of 63.6 inches. Assume σ=2.6 inches. Are you more likely to randomly select 1 woman with a height less than 65.5 inches or are you more likely to select a sample of 18 women with a mean height less than 65.5 ​inches? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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The height of women ages​ 20-29 is normally​ distributed, with a mean of

63.6

inches. Assume

σ=2.6

inches. Are you more likely to randomly select 1 woman with a height less than

65.5

inches or are you more likely to select a sample of

18

women with a mean height less than

65.5

​inches? Explain.

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