I'm having trouble solving this problem. Can you please help me? Thank you in advance.

According to a recent publication, the mean price of new mobile homes is $62,900. Assume a standard deviation of $7500. Let x denote the mean price of a sample of new mobile homes. a. For samples of size 50, find the mean and standard deviation of x. Interpret your results in words. b. Repeat part (a) with n = 100. a. For (1) _ the mean and standard deviation of (2) are $ and $ respectively. (Round to the nearest cent as needed.) b. For (3) the mean and standard deviation of (4) are $ and $ respectively. (Round to the nearest cent as needed.) (1) O the 50 mobile homes sampled, (2) O the prices of the mobile homes (3) O samples of 100 mobile homes, (4) O all possible sample mean prices O samples of 50 mobile homes, O all possible sample mean prices the 100 mobile homes sampled, O the prices of the mobile homes