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.
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.
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbea774a4-76a7-4661-8ed1-83b80bb8adb6%2F6552eba6-1f71-4a54-a468-beb5314095c1%2Fl5ipckf_processed.jpeg&w=3840&q=75)
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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