1 For a random variable with 11718 and 2854 calculate the

1. For a random variable with = 117.18 and = 28.54, calculate the expected value of the sampling distribution of the sample mean if the sample size is 37

2.For a random variable with a large population with = 114.01 and = 29.44, approximate the standard error of the sampling distribution of the sample mean if the sample size is 36

Solution

1.

The expected value of a sampling distirbution is simply the population mean (u).

Thus,

E(Xbar) = u = 117.18 [ANSWER]

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2.

Here,

standard error = sigma / sqrt(n)

= 29.44 / sqrt(36)

= 4.906666667 [ANSWER]

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