7.S11 WP SS VS A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47 ≤ x ≤ 53. Is the assumption of normality important? Why?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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7.S11 WP SS VS A random sample of 36 observations has
been drawn from a normal distribution with mean 50 and standard
deviation 12. Find the probability that the sample mean is in the
interval 47 ≤ x ≤ 53. Is the assumption of normality important?
Why?
Transcribed Image Text:7.S11 WP SS VS A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47 ≤ x ≤ 53. Is the assumption of normality important? Why?
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