Problem

Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $\$ 225$ and a standard deviation of \$68 Random samples of size 23 are drawn from this population and the mean of each sample is determined The mean of the distribution of sample means is

Solution

Step 1 :The mean of the distribution of sample means, also known as the expected value of the sampling distribution, is equal to the population mean. In this case, the population mean is given as $225. Therefore, the mean of the distribution of sample means is also $225.

Step 2 :Final Answer: The mean of the distribution of sample means is \(\boxed{225}\).

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Source: https://solvelyapp.com/problems/19175/

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