SOLUTION: a.) A population has a normal distribution. A sample of size 94 is selected from this population. Describe the shape of the sampling distribution of the sample mean? b.) A popul

Algebra.Com
Question 758046: a.) A population has a normal distribution. A sample of size 94 is selected from this population. Describe the shape of the sampling distribution of the sample mean?
b.) A population has a normal distribution. A sample of size 11 is selected from this population. Describe the shape of the sampling distribution of the sample mean

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a.) A population has a normal distribution. A sample of size 94 is selected from this population. Describe the shape of the sampling distribution of the sample mean?
The Central Limit Theorem says:
The mean of the sample means is the mean of the population.
The std of the sample means is (population std)/sqrt(94)
=====================================================================
b.) A population has a normal distribution. A sample of size 11 is selected from this population. Describe the shape of the sampling distribution of the sample mean
Ans: mean of sample means = u
std of sample means = (sigma)/sqrt(11)
============================================
Cheers,
Stan H.

RELATED QUESTIONS

A random sample is to be selected from a population that has a proportion of successes p... (answered by ewatrrr)
Suppose a simple random sample of size n = 40 is taken from a population with μ=50... (answered by Boreal)
An SRS of size 20 is drawn from a population that has a normal distribution. The sample... (answered by Boreal)
Consider a normal population with a mean of 50 and standard deviation of 2. A random... (answered by Boreal)
A sample is chosen randomly from a population that can be described by a Normal model.... (answered by Boreal)
2. A sample of size n = 20 is selected from a normal population to construct a 98%... (answered by stanbon)
A random sample is to be selected from a population that has a proportion of successes p... (answered by ewatrrr)
a. A random sample of 25 was drawn from a normal distribution... (answered by stanbon)
A population of values has a normal distribution with μ=17.9 and σ=94.8. You... (answered by Edwin McCravy)