Unoccupled seats on flights cause airlines to lose reverue. Suppose a large airl

Question

Unoccupled seats on flights cause airlines to lose reverue. Suppose a large airline wants to estimate its average number of unoccupied seats per flight over the past year. To accomplish this, the ecords of s ih are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 114 seats and the sample standard deviation is 4.2 ss NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must flrst peove that assumetion, though) Part (a) Pan ( Deino the Random Variables X and X in words

Explanation / Answer

(i) This simple confidence interval calculator uses a t statistic and sample mean (M) to generate an interval estimate of a population mean ().

The formula for estimation is:

= M ± t(sM)

M = sample mean
t = t statistic determined by confidence level
sM = standard error = (s2/n)

M = 11.4
t = 1.76
sM = (4.22/275) = 0.25

= M ± t(sM)
= 11.4 ± 1.76*0.25

So, it ranges from 10.96 to 11.84

(ii) alpha = 0.08

alpha/2 = 0.04

In boxes below chart write this:

10.96 to 11.84

(iii)

EBM: Error BoundThe error bound formula for an unknown population mean when the population standard deviation is known is

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