SOLUTION: For a sample of nequals75​, the probability of a sample mean being greater than 213 if mu equals 212 and sigmaequals5.9
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Question 1110658: For a sample of nequals75, the probability of a sample mean being greater than 213 if mu equals 212 and sigmaequals5.9
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
use a normal distribution since sample size(n = 75) > 30
:
Probability (P) ( X > 213 ) = 1 - P ( X < 213 )
:
z-score(213) = (213 - 212) / 5.9 = 0.1695 approximately 0.17
:
consult table of z-scores to find the associated P with X < 213
:
Probability (P) ( X > 213 ) = 1 - 0.5675 = 0.4325
:
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