Question

Allegiant Airlines charges a mean base fare of $88. In addition, the airline charges for making a reservation on its website, checking bags, and inflight beverages. These additional charges average $36 per passenger. Suppose a random sample of 70 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 probability the sample mean will be within $10 of the population mean cost per flight (to 4 decimals)?
B) What is the probability the sample mean will be within $5 of the population mean cost per flight (to 4 decimals)?

Answer 1

Sample Size n = 70

Population Mean

Population Standard deviation

Ans A)

The required probability is

Now,

ans.

/* EXPLANATION: USE EXCEL FUNCTION =NORM.S.DIST(-2.092,TRUE) TO FIND PROBABILITY */

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Ans B)

ans.

/* PLEASE UPVOTE */