SOLUTION: The cholesterol level for all adult men living in US is known to be normally distributed. Twelve adult men from US are randomly chosen and the cholesterol level are recorded as be

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Question 1195165: The cholesterol level for all adult men living in US is known to be normally distributed. Twelve adult men from US are randomly chosen and the cholesterol level are recorded as below:
190 175 221 195 204 186
212 199 213 182 210 180

(a) Calculate the unbiased estimates of population mean and standard deviation of cholesterol level of men in US.
(b) A medical officer claimed that the cholesterol level of men in US is different from 185. Test at 5% level of significance whether the claim is true.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Mean is 197.25
sd is 14.92(s)
-
Ho mean is 185
Ha mean is not 185
alpha = 0.05p{reject Ho|Ho true}
test is a t
reject if |t|>2.064 ((0.975;df=24)
t=(197.25-185)/14,92/sqrt(10)
=12.25*sqrt(10)/14.92
=2.596
reject Ho; mean is > 185 mg/dl
Error on data inputting with one number. Sorry. I also had interpreted the 20 as the population looked at.