SOLUTION: Random samples of size 36 are taken from an infinite population whose mean is 80 and standard deviation is 18. What are the mean and standard error of the sampling distribution of

Algebra.Com
Question 1159005: Random samples of size 36 are taken from an infinite population whose mean is 80 and standard deviation is 18. What are the mean and standard error of the sampling distribution of sample means?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The mean of the sampling distribution is the same as the population mean, which is 80
the standard deviation of the distribution of sample means of size 36 is the std dev of the population/sqrt(n)
and this is 18/sqrt(36)=3
sampling distribution is ~N(80, 3)

RELATED QUESTIONS

samples of size 81 are taken from a population of size 500 with mean 10 and standard... (answered by CPhill)
Consider an infinite population with a mean of 160 and a standard deviation of 25. A... (answered by stanbon)
consider an infinite population with a mean of 160 and standard deviation of 25,a random... (answered by stanbon)
a random sample of size 36 is taken from a population whith mean of 50 and standard... (answered by tommyt3rd)
Suppose a simple random sample of size n = 36 is taken from a population with mean = 64... (answered by Boreal)
The National Health and Nutrition Examination Survey of 1976-80 found that the mean serum (answered by stanbon)
Random samples of size 17 are taken from a population that has 200 elements, a mean of... (answered by ikleyn)
Assume 50 random samples of the same sample size are taken from a population, and a 90%... (answered by keilewis)
Random samples of size 53 are drawn from a population with mean 104.3 and standard... (answered by Theo)