SOLUTION: Suppose that X has a distribution with m=72 and s=8 (greek symbols) if random samples of size n=16 are selected, can we say anything about the x distribution of sample means?

Algebra.Com
Question 127322: Suppose that X has a distribution with m=72 and s=8 (greek symbols)
if random samples of size n=16 are selected, can we say anything about the x distribution of sample means?
if the original x distrubution is normal can we say anything about the x distribution of random samples of size 16? Find P(68

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Suppose that X has a distribution with m=72 and s=8 (greek symbols)
if random samples of size n=16 are selected, can we say anything about the x distribution of sample means?
---------------------------------
According to the Central Limit Theorem the mean of the sample means equals
the population mean which is 72, and the standard deviation of the sample
means is 8/sqrt4) = 2 .
=================================
if the original x distrubution is normal can we say anything about the x distribution of random samples of size 16?
The sample means are normally distributed.
---------------------
Find P(68 Question: Does "x" refer to population data or sample means?
In either case, find the z-values for 68 and 73; then find
The probability z lies between those two z-values.
==========================
Cheers,
Stan H.

RELATED QUESTIONS

Answer the question Yes or No. Suppose x has a distribution with (a weird shaped u)= 80... (answered by stanbon)
suppose x has a distribution with a mean of 29 and standard deviation of 18.Random... (answered by ewatrrr)
assume that x has a normal distribution, with this specified mean and standard deviation. (answered by stanbon)
A population of values has a normal distribution with μ=13.7 and σ=81.6.If a random... (answered by Theo,math_tutor2020)
The average age for employees at an amusement park is 24 years old with a standard... (answered by ViviNH14)
if random samples of size 15 are selected from a distribution that is normal , then the... (answered by ewatrrr)
A population of values has a normal distribution with μ = 76.3 and σ = 41.4 . If a... (answered by Theo)
A population of values has a normal distribution with μ=36.5 and σ=79.4 .If a random... (answered by CPhill)
3. Suppose many samples of size 49 are selected from a population with mu = 250 and sigma (answered by stanbon)