Question

Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.9 years with a standard deviation of 0.9 years.

Step 1 of 2: If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.

Step 2 of 2: If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.

Answer 1

Step 1: As sample size is n=69>30 so as per central limit theorem distribution of sample mean is normal with mean

Step 2: As sample size is n=69>30 so as per central limit theorem distribution of sample mean is normal with standard deviation