You may need to use the appropriate appendix table or technology to answer this question A population of 1,000 students spends an average of $11.30 a day on dinner. The standard deviation of the expenditure is $4. A simple random sample of 64 students is take (a) What is the expected value in dollars) of the sampling distribution of the sample mean? $11.00 What is the standard deviation in dollars of the sampling distribution of the sample man? (Round your anewer to four decimal places.) What in the shape of the sampling distribution of the sample mean? O skewed to the left exponential normal skewed to the right uniform (b) What is the probability that these 64 students will spend a combined total of more than $500.552 (Round your answer to four decimal places) ce) What is the probability that these 64 students will connd a combined total between $70.67 and #82.es (Round your answer to four decimal places.)