Question

According to a research​ institution, the average hotel price in a certain year was ​$91.85. Assume the population standard deviation is ​$18.00 and that a random sample of 41 hotels was selected. Complete parts a through d below. a. Calculate the standard error of the mean. sigma Subscript x overbarequals​$ nothing ​(Round to two decimal places as​ needed.) b. What is the probability that the sample mean will be less than ​$93​? Upper P left parenthesis x overbar less than $ 93 right parenthesisequals nothing ​(Round to four decimal places as​ needed.) c. What is the probability that the sample mean will be more than ​$96​? Upper P left parenthesis x overbar greater than $ 96 right parenthesisequals nothing ​(Round to four decimal places as​ needed.) d. What is the probability that the sample mean will be between ​$91 and ​$92​? Upper P left parenthesis $ 91 less than or equals x overbar less than or equals $ 92 right parenthesisequals nothing ​(Round to four decimal places as​ needed.) Enter your answer in each of the answer boxes.

Answer 1

-------------------------------------------------------------------------------------------------------------

-------------------------------------------------------------------------------------------------------------