A population of values has a normal distribution with μ = 229.6 and o = 47.2. You intend to draw a random sample of size n = 199. Find the probability that a single randomly selected value is between 221.9 and 230.9. P(221.9

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 9E
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A population of values has a normal distribution with μ = 229.6 and o 47.2. You intend to draw a
random sample of size n = 199.
Find the probability that a single randomly selected value is between 221.9 and 230.9.
P(221.9<X<230.9) =
Find the probability that a sample of size n = 199 is randomly selected with a mean between 221.9 and
230.9.
P(221.9 <M< 230.9) =
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.
Transcribed Image Text:A population of values has a normal distribution with μ = 229.6 and o 47.2. You intend to draw a random sample of size n = 199. Find the probability that a single randomly selected value is between 221.9 and 230.9. P(221.9<X<230.9) = Find the probability that a sample of size n = 199 is randomly selected with a mean between 221.9 and 230.9. P(221.9 <M< 230.9) = 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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