Recent studies indicate that the typical 50-year-old woman spends $350 per year for personal-care products, with a standard deviation of $45 per year. We select a random sample of 60 women in this age category. Which statement below is true about the sampling distribution of , the sample mean amount spent on personal care products by women in this age category? x

A. The shape of the sampling distribution will be approximately normal and centered at $350.

B. The shape of the sampling distribution will follow a t-distribution with n = 60.

C. The shape of the sampling distribution will follow a binomial distribution with n = 60.

D. The shape of the sampling distribution is impossible to determine because the data distribution is unknown.

E. All of the above