You may need to use the appropriateappendix tableortechnologyto answer this question.A population of 1,000 students spends an average of $10.60a day on dinner. The standard deviation of the expenditure is $4. A simple random sample of64 studentsis taken.

(a)What is the expected value (in dollars) of the sampling distribution of the sample mean?$ What is the standard deviation (in dollars) of the sampling distribution of the sample mean? (Round your answer to four decimal places.)$ What is the shape of the sampling distribution of the sample mean? uniformnormalskewed to the right skewed to the left exponential

(b)What is the probability that these 64 students will spend a combined total of more than $721.97? (Round your answer to four decimal places.)

(c)What is the probability that these 64 students will spend a combined total between $710.27and $735.95? (Round your answer to four decimal places.)