Step 1 :Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years.
Step 2 :If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Step 3 :The mean of the sampling distribution of sample means, also known as the expected value of the sample mean, is equal to the population mean. In this case, the population mean is given as 5.4 years.
Step 4 :Therefore, the mean of the sampling distribution of sample means would also be 5.4 years.
Step 5 :Final Answer: The mean of the sampling distribution of sample means is \(\boxed{5.4}\) years.