llegiant Airlines charges a mean base fare of $84. In additian, the airline char
ID: 3060120 • Letter: L
Question
llegiant Airlines charges a mean base fare of $84. In additian, the airline charges for making a reservation an its website, checking bags, and inflight beverages. These additional charges average $37 per passenger. Suppuse a randorn sample of 70 passengers is taken to determine the totel cost of their fight on Allegient Airlines. The populati ion of total light cost is kriown to be s39. Use 2-table a. What ean cost per rlight? on standard devia is the population m 10 af the population can cost per flight(to 4 decimals)? b. what is the probability the sample mean will be within night (to 4 desimals)?Explanation / Answer
Solution:- n = 70 , sd = 39
a) population mean cost per fight = 84+37 = 121
b) P(121 - 10 <= X <= 121 + 10) = P(111 <= X <= 131)
= P((111-121)/(39/sqrt(70)) <= Z <= (131-121)/(39/sqrt(70)))
= p(-2.1453 <= Z <= 2.1453)
= 0.9684
c)P(121 - 5 <= X <= 121 + 5) = P(116 <= X <= 126)
= P((116-121)/(39/sqrt(70)) <= Z <= (126-121)/(39/sqrt(70)))
= P(-1.0726 <= Z <= 1.0726)
= 0.7154
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