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?
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1da296ee-2468-43bb-ac80-be0eb8484519%2F8330c89f-cb59-430f-969d-53cf036e432d%2Fiq9q5wt_processed.png&w=3840&q=75)
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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