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The National Weather Service keeps records of snowfall in mountain ranges. Records indicate that in a...

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  .

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Answer #1

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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