Unoccupied seats on flights mean lost revenue for airlines. A large

airline wants to estimate its mean number of unoccupied seats per

flight over the last year. The airline takes a random sample of 225

flights and calculates the average number of unoccupied seats to be

11.6 Assume the population standard deviation of unoccupied seats for

all flights for this airline is equal to 4.103

a) Find a 90% confidence interval for μ and the mean number of unoccupied seats

b) Suppose the company wants their 90% confidence interval to have a

margin of error of no more than 0.25. How large must the sample size be

to satisfy this requirement?

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