SOLUTION: For a simple random sample of adults, IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. A simple random sample of 13 statistics professors yiel

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Question 1178417: For a simple random sample of adults, IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. A simple random sample of 13 statistics professors yields a mean of 72. Assume that IQ scores of statistics professors are normally distributed and use a 0.05 significance level to test if there is enough evidence to support this claim.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Ho:  p = 100 

Ha:  p ≠ 100 claim

sample:  n = 13,  mean = 72  ,  population standard deviation is 15

σ = 0.05, 0r  two-tailed: .925 t(df = 12) = 2.16 critical value

 t-value%5D+=blue+%28-28%29%2Fblue%2815%2Fsqrt%2813%29%29 = -6.73

|-6.73| > 1.98

p(t = -6.64)... is for all practical purposes  0

Reject Ho: study does not support the common belief that p = 100

Wish You the Best in your Studies.