the mean arrival rate at O\'Hare Airport in marginal weather is 195flights per h

Question

the mean arrival rate at O'Hare Airport in marginal weather is 195flights per hour with a historical standard deviation of 13 flights. to increase arrivals a new air traffic control procedureis implemented. in the next 30 days of marginal weather the meanarrival rate is 200 flights per hour..(a) set up a right-taileddecision rule at sigma=.025
to decide whether there has been a significant increase in the meannumber of arrivals per hour. (b) carry out the test and make thedecision. is it close? would the decision be different if you usedsigma=.01?what assumptions are you making if any?

Explanation / Answer

Given =13, =195, xbar=200 =0.025, Z(0.025)=1.96 (check normal table) (a) The test hypothesis is Ho: 195 (b) The test statistic is Z=(xbar - )/() = (200 -195)/(13) = 0.3846 Since Z=0.3846

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