You may need to use the appropriate appendix table or technology to answer this question. Allegiant Airlines charges a mean base fare of $89. In addition, the airline charges for making a reservation on its website, checking bags, and inflight beverages. These additional charges average $39 per passenger.+ Suppose a random sample of 57 passengers is taken to determine the total cost of their flight on Allegiant Airlines. The population standard deviation of total flight cost is known to be $40. (a) What is the population mean cost per flight in dollars? (b) What is the probability the sample mean will be within $10 of the population mean cost per flight? (Round your answer to four decimal places.) (c) What is the probability the sample mean will be within $5 of the population mean cost per flight? (Round your answer to four decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You may need to use the appropriate appendix table or technology to answer this question.
Allegiant Airlines charges a mean base fare of $89. In addition, the airline charges for making a reservation on its website,
checking bags, and inflight beverages. These additional charges average $39 per passenger.+ Suppose a random sample of
57 passengers is taken to determine the total cost of their flight on Allegiant Airlines. The population standard deviation of total
flight cost is known to be $40.
(a) What is the population mean cost per flight in dollars?
$
(b) What is the probability the sample mean will be within $10 of the population mean cost per flight? (Round your answer to
four decimal places.)
(c) What is the probability the sample mean will be within $5 of the population mean cost per flight? (Round your answer to
four decimal places.)
Need Help? Read It
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. Allegiant Airlines charges a mean base fare of $89. In addition, the airline charges for making a reservation on its website, checking bags, and inflight beverages. These additional charges average $39 per passenger.+ Suppose a random sample of 57 passengers is taken to determine the total cost of their flight on Allegiant Airlines. The population standard deviation of total flight cost is known to be $40. (a) What is the population mean cost per flight in dollars? $ (b) What is the probability the sample mean will be within $10 of the population mean cost per flight? (Round your answer to four decimal places.) (c) What is the probability the sample mean will be within $5 of the population mean cost per flight? (Round your answer to four decimal places.) Need Help? Read It
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