For a normal distribution with a mean of µ = 300 and a standard deviation of σ = 16, n = 64. (a) What M value would separate the highest 1% of scores from the rest of the distribution (i.e., what’s the score that marks the 99th percentile)?   (b) What is the probability you would choose a sample with M > 305?

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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For a normal distribution with a mean of µ = 300 and a standard deviation of σ = 16, n = 64.

(a) What M value would separate the highest 1% of scores from the rest of the distribution (i.e., what’s the score that marks the 99th percentile)?

 

(b) What is the probability you would choose a sample with M > 305?

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