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? $ 128 (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.) 0.9472 X (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.) 0.6670 X

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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?
$ 128
(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.)
0.9472
X
(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.)
0.6670
X
Transcribed Image Text: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? $ 128 (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.) 0.9472 X (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.) 0.6670 X
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