Given a normal random variable X with mean = 20 and standard deviation σ = 3 and a random sample of n i.i.d. observations taken from the distribution with a sample average X. What sample size n is necessary to assure that P(X ≤20.5)≥0.95 n≥?
Given a normal random variable X with mean = 20 and standard deviation σ = 3 and a random sample of n i.i.d. observations taken from the distribution with a sample average X. What sample size n is necessary to assure that P(X ≤20.5)≥0.95 n≥?
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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Question
Given a normal random variable X with mean µ = 20 and standard deviation
σ = 3 and a random sample of n i.i.d. observations taken from the distribution
with a sample average Xn . What
( 20.5) 0.95
?_______________
Transcribed Image Text:Given a normal random variable X with mean = 20 and standard deviation
σ = 3 and a random sample of n i.i.d. observations taken from the distribution
with a sample average X. What sample size n is necessary to assure that
P(X ≤20.5)≥0.95
n≥?
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