You may need to use the appropriate appendix table or technology to answer this question A population of 1.000 students upendo an average of 11.00 a day on dinner. The standard deviation of the expenditure is 54. A simple random sample of 64 students is 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 means O skewed to the left exponential Normal O skewed to the night uniform (b) What is the probability that these 64 dents will send a combined total of more than $103.557 (Round your answer to four decimal places . (c) What is the probability that these students will send a combined total between $700:07 and 116. (Round your answer to four decimal place