Problem

Find the mean of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. \[ \mu=70 \text { and } \sigma=12 ; n=81 \] Answer

Solution

Step 1 :Given that the population mean (\(\mu\)) is 70, the standard deviation (\(\sigma\)) is 12, and the sample size (n) is 81.

Step 2 :According to the Central Limit Theorem, the mean of the sampling distribution of sample means is equal to the population mean.

Step 3 :Therefore, the mean of the sampling distribution of sample means is \(\mu = 70\).

Step 4 :Final Answer: The mean of the sampling distribution of sample means is \(\boxed{70}\).

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Source: https://solvelyapp.com/problems/33310/

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