The mean salary offered to students who are graduating from Coastal State University this year is $24,230 , with a standard deviation of $3678 . A random sample of 85 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 85 students is $23,750 or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
Solution :
= / n = 3678 / 85
P( 23750) = 1 - P( 23750)
= 1 - P[( - ) / (23750 - 24230) / 3678]
= 1 - P(z -0.1305)
= 0.5519
= 0.552
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