A population of values has a normal distribution with μ = 111.8 and o= 54.7. You intend to draw a random sample of size n = 118. Find the probability that a single randomly selected value is greater than 99.2. P(X> 99.2) = Find the probability that, a sample of size n = 118 is randomly selected with a mean greater than 99.2. P(M> 99.2) = 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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OL
***
***
61*
A 45 S
A population of values has a normal distribution with = 111.8 and σ = 54.7. You intend to draw a
random sample of size n = 118.
Find the probability that a single randomly selected value is greater than 99.2.
P(X> 99.2) =
Find the probability that a sample of size n = 118 is randomly selected with a mean greater than 99.2.
P(M> 99.2) =
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.
Submit Question
A
3
A
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Transcribed Image Text:OL *** *** 61* A 45 S A population of values has a normal distribution with = 111.8 and σ = 54.7. You intend to draw a random sample of size n = 118. Find the probability that a single randomly selected value is greater than 99.2. P(X> 99.2) = Find the probability that a sample of size n = 118 is randomly selected with a mean greater than 99.2. P(M> 99.2) = 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. Submit Question A 3 A S A U hp
Expert Solution
Step 1

From the provided information,

Mean (µ) = 111.8

Standard deviation (σ) = 54.7

X~N (111.8, 54.7)

Sample size (n) = 118

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