Problem

Question 5 $0 / 1 \mathrm{pt}$ For any sample of size 120 , the population mean, the mean of the sampling distribution for the sample means, and the sample mean will always be equal to each other. True False

Solution

Step 1 :The statement is asking if the population mean, the mean of the sampling distribution for the sample means, and the sample mean will always be equal for any sample of size 120.

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

Step 3 :However, the sample mean may not always be equal to the population mean due to sampling variability.

Step 4 :Therefore, the statement is false.

Step 5 :Final Answer: \(\boxed{\text{False}}\).

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Source: https://solvelyapp.com/problems/hhTZP2J5JA/

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