A population of values has a normal distribution with μ=90.6μ=90.6 and σ=41.4σ=41.4. A random sample of size n=55n=55 is drawn. Find the probability that a sample of size n=55n=55 is randomly selected with a mean greater than 101.8. Round your answer to four decimal places

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
Section13.3: Special Probability Density Functions
Problem 8E
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A population of values has a normal distribution with μ=90.6μ=90.6 and σ=41.4σ=41.4. A random sample of size n=55n=55 is drawn. Find the probability that a sample of size n=55n=55 is randomly selected with a mean greater than 101.8. Round your answer to four decimal places.

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