The National Weather Service keeps records of snowfall in mountain ranges. Records indicate that in a certain range, the annual snowfall has a mean of 81 inches and a standard deviation of 12 inches. Suppose the snowfalls are sampled during randomly picked years. For samples of size 36, determine the mean and standard deviation of .
Solution :
Given that ,
mean = = 81
standard deviation = = 12
n = 36
sample distribution of sample mean is ,
=
= 81
sampling distribution of standard deviation
= / n =12 / 36=2
= 2
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