A random variables has a normal distribution with 110.4 and o = 37.1. You intend to draw a random sample of size n = 16. μ = Find the probability that a single randomly selected value is less than 85.4. P(X < 85.4) = Find the probability that a sample of size n = 16 is randomly selected with a mean less than 85.4. P(X < 85.4) = Are your answers different? If yes, comment below why you think that the probabilities are different.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A random variables has a normal distribution with
μ =
110.4 and o = 37.1. You intend to draw a random
sample of size n = 16.
Find the probability that a single randomly selected value is
less than 85.4.
P(X < 85.4)
=
Find the probability that a sample of size n = 16 is
randomly selected with a mean less than 85.4.
P(X < 85.4)
=
Are your answers different? If yes, comment below why you
think that the probabilities are different.
Transcribed Image Text:A random variables has a normal distribution with μ = 110.4 and o = 37.1. You intend to draw a random sample of size n = 16. Find the probability that a single randomly selected value is less than 85.4. P(X < 85.4) = Find the probability that a sample of size n = 16 is randomly selected with a mean less than 85.4. P(X < 85.4) = Are your answers different? If yes, comment below why you think that the probabilities are different.
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