A random variable is normally distributed with mean $1500 and standard deviation $100 Determine the standard error of the sampling distribution of the mean for simple random samples with the following sample sizes a n 16 b n 100 c n 400 d n 1000 ...

A random variable is normally distributed with mean = $1500 and standard deviation = $100.

Question:

A random variable is normally distributed with mean μ = $1500 and standard deviation σ = $100. Determine the standard error of the sampling of the mean for simple random samples with the following sample sizes:
a. n = 16
b. n = 100
c. n = 400
d. n = 1000
Distribution
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