A population of 1,000 students spends an average of $11.80 a day on dinner. The standard deviation of the expenditure is $4. A simple random sample of 64 students is taker (a) What is the expected value (in dollars) of the sampling distribution of the sample mean? What is the standard deviation (in desars) of the sampling distribution of the sample mean? (Round your answer to four docimal places.) X. What is the shape of the sampliog distribution of the sample mean? \begin{tabular}{l} skewed to the right \\ normal \\ exponentlal \\ skewed to the left \\ uniform \\ \hline \end{tabular} (b) What is the probability that these 64 students will spend a combined total of more than $803.677 (Round your antwer to four decimal places.) K (c) What is the probability that these 64 students wit spend a combined total between 5790.63 and $516. 77 (hound your answer to four deomal placen.) 14.