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April 21, 2015

Homework Help: Math- Statistics

Posted by Tammy on Tuesday, February 8, 2011 at 9:14pm.

A random sample of size 36 is to be selected from a population that has a mean μ = 50 and a standard deviation σ of 10.

* a. This sample of 36 has a mean value of , which belongs to a sampling distribution. Find the shape of this sampling distribution.
* b. Find the mean of this sampling distribution.
* c. Find the standard error of this sampling distribution.
* d. What is the probability that this sample mean will be between 45 and 55?
* e. What is the probability that the sample mean will have a value greater than 48?
* f. What is the probability that the sample mean will be within 3 units of the mean?

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