A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.4 pounds and a standard deviation of 6.8 pounds.
Step 1 of 2: If a sampling distribution is created using samples of the amounts of weight lost by 63 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer

Step 1 ：A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.4 pounds and a standard deviation of 6.8 pounds.

Step 2 ：If a sampling distribution is created using samples of the amounts of weight lost by 63 people on this diet, we need to find the mean of the sampling distribution of sample means.

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.

Step 4 ：In this case, the population mean is given as 23.4 pounds.

Step 5 ：Therefore, the mean of the sampling distribution of sample means would also be 23.4 pounds.

Step 6 ：Final Answer: The mean of the sampling distribution of sample means is \(\boxed{23.4}\) pounds.