According to a study, the length of pregnancy has an unknown distribution with a mean of 265 days and a standard deviation of 15.4 days. Let XX be the length of pregnancy for a randomly selected female and let ¯¯¯XX¯  be the average length of pregnancy for a random sample of size 22. 1. Describe the probability distribution of XX and state its parameters μμ and σσ:  X∼X∼         ( μ=μ= , σ=σ= ) 2. Explain why the Central Limit Theorem can or can not be applied The Central Limit Theorem for Sample Means     be applied because

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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According to a study, the length of pregnancy has an unknown distribution with a mean of 265 days and a standard deviation of 15.4 days. Let XX be the length of pregnancy for a randomly selected female and let ¯¯¯XX¯  be the average length of pregnancy for a random sample of size 22.

1. Describe the probability distribution of XX and state its parameters μμ and σσ:

 X∼X∼         ( μ=μ= , σ=σ= )

2. Explain why the Central Limit Theorem can or can not be applied

The Central Limit Theorem for Sample Means     be applied because

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