A sample size of 15 is drawn from a population with a mean of 100 standard deviation of 28 is it appropriate to use the normal distribution to find probabilities of the sample mean
It is easy to find the probabilities for a sample mean if it has a normal distribution. You can find probabilities if the sample size, n, is large enough.
The normal distribution is a very simple distribution that has a table (see z table at the end of solution) for finding probabilities and anything else you need.
You can find probabilities for
by converting the
to a z-value and finding probabilities using the Z-table (see below).
The general conversion formula :
We will substitute the appropriate values of the mean and standard error of :
the conversion formula is :
the z-table is :
P.S. (please upvote if you find the answer satisfactory)
A sample size of 15 is drawn from a population with a mean of 100 standard...
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