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Svetach [21]
4 years ago
7

A population has a mean of 200 and a standard deviation of 50. A sample of size 100 will be taken and the sample mean will be us

ed to estimate the population mean. What is the expected value of LaTeX: \overline{x}x ¯?
Mathematics
1 answer:
alexgriva [62]4 years ago
6 0

Answer:

\bar{x}= 200

Step-by-step explanation:

We are given the following in the question:

Population mean = 200

Population standard deviation = 50

Sample size, n = 100

We have to estimate the expected value of the sample mean.

The best point estimate for the sample mean is the population mean.

Thus, we can write:

\bar{x}= \mu = 200

Thus, the expected value of the sample mean is 200.

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