A new restaurant with 138 seats is being planned. Studies show that 59% of the customers demand a smoke-free area. How many seats should be in the non-smoking area in order to be very sure (mu plus 3 sigma) of having enough seating there?
Accepted Solution
A:
Answer:Step-by-step explanation:Given that a new restaurant with 138 seats is being planned. Studies show that 59% of the customers demand a smoke-free area. Non smoke area = 100-59=41%mu for non smoke area = 0.41Std deviation = [tex]\sqrt{\frac{pq}{n} } =0.0418[/tex]mu-3sigma = [tex]0.41-3(0.0418) =0.2843[/tex]mu+3 sigma = [tex]0.41+3(0.0418)=0.5354[/tex]Thus 28.43 to 53.54 percent should be in non smoke areaOr 39.2334 to 73.8852 seats 74 seats should be in the non-smoking area in order to be very sure (mu plus 3 sigma) of having enough seating there