population of values has a normal distribution with μ=11.2μ=11.2 and σ=22.4σ=22.4. You intend to draw a random sample of size n=17n=17. Find the probability that a single randomly selected value is greater than 14.5. P(X > 14.5) =  Find the probability that a sample of size n=17n=17 is randomly selected with a mean greater than 14.5. P(M > 14.5) =  Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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 53E
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A population of values has a normal distribution with μ=11.2μ=11.2 and σ=22.4σ=22.4. You intend to draw a random sample of size n=17n=17.

Find the probability that a single randomly selected value is greater than 14.5.
P(X > 14.5) = 

Find the probability that a sample of size n=17n=17 is randomly selected with a mean greater than 14.5.
P(M > 14.5) = 

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
 
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