# Question: A population has a mean of 200 and a standard

A population has a mean of 200 and a standard deviation of 50. A sample of size 100 will be taken and the sample means x will be used to estimate the population mean.

a. What is the expected value of x?

b. What is the standard deviation of x?

c. Show the sampling distribution of x.

d. What does the sampling distribution of x show?

a. What is the expected value of x?

b. What is the standard deviation of x?

c. Show the sampling distribution of x.

d. What does the sampling distribution of x show?

## Relevant Questions

A sample of size 100 is selected from a population with p = .40.a. What is the expected value of ṕ?b. What is the standard error of ṕ?c. Show the sampling distribution of ṕ.d. What does the sampling distribution of ṕ ...Suppose a random sample of size 50 is selected from a population with σ = 10. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).a. ...The mean preparation fee H&R Block charged retail customers last year was $183 (The Wall Street Journal, March 7, 2012). Use this price as the population mean and assume the population standard deviation of preparation fees ...The Grocery Manufacturers of America reported that 76% of consumers read the ingredients listed on a product’s label. Assume the population proportion is p = .76 and a sample of 400 consumers is selected from the ...A production process is checked periodically by a quality control inspector. The inspector selects simple random samples of 30 finished products and computes the sample mean product weights x. If test results over a long ...Post your question