can you help me in solving this homework question as soon as possible please 1.
can you help me in solving this homework question as soon as possible please
1. As the European Union becomes a reality, regional airports must face the difficulties encountered from the loss of profits generated by duty-free shopping. Duty-free revenue has allowed many of Europe’s regional airports to expand. A survey of authorities that run regional airports showed that business travelers would be required to pay an average of $35 more per round trip flight once duty-free shopping is abolished. Suppose that the standard deviation of the amount that a business traveler would have to pay is $12. A random sample of 36 regional airports is selected.
a. What is the probability that the sample average would be at least $27?
b. What two values would you expect 99% of the sample averages to fall within?
c. What value are 99% of the sample averages less than?
d. Which of the following scenarios is more likely: a sample average of at least $30 in a random sample of 36, a sample average that is at least $32 in a random sample of 25, and a sample average of at most $38 in a sample of 49 regional airports? Show your work for full credit!
e. Should you assume that the amount that a business traveler would have to pay is a normally distributed random variable? Explain