A sports magazine reports that the mean number of hot dogs sold by hot dog vendors at a certain sporting event is equal to 150. A random sample of 50 hot dog vendors was selected, and the mean number of hot dogs sold by the vendors at the sporting event was 140. For samples of size 50, which of the following is true about the sampling distribution of the sample mean number of hot dogs sold by hot dog vendors at the sporting event?

a. For all random samples of 50 sporting events, the sample mean will be 150 hot dogs.
b. For all random samples of 50 hot dog vendors, the sample mean will be 140 hot dogs.
c. The mean of the sampling distribution of the sample mean is 150 hot dogs.
d. The mean of the sampling distribution of the sample mean is 140 hot dogs.
e. All random samples of 50 hot dog vendors will have a sample mean within 10 hot dogs of the population mean.