A population of values has a normal distribution with = 179.6 and o=97.1. You intend to draw a random sample of size n = 11. Find the probability that a single randomly selected value is less than 246.9. P(X246.9) = Find the probability that a sample of size n = 11 is randomly selected with a mean less than 246.9. P(M<246.9) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 docimal place

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A population of values has a normal distribution with = 179.6 and o=97.1. You intend to draw a
random sample of size n = 11.
Find the probability that a single randomly selected value is less than 246.9.
P(X<246.9) =
Find the probability that a sample of size n = 11 is randomly selected with a mean less than 246.9.
P(M< 246.9) =
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 = 179.6 and o=97.1. You intend to draw a random sample of size n = 11. Find the probability that a single randomly selected value is less than 246.9. P(X<246.9) = Find the probability that a sample of size n = 11 is randomly selected with a mean less than 246.9. P(M< 246.9) = 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.
Expert Solution
Step 1

normal distributionμ = 179.6σ = 97.1

(a) P(x<246.9=P(x-μσ<246.9-179.697.1)=P(Z<0.693)=0.7559=

 

 

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