The mean arrival rate of flights at O\'Hare Airport in marginal weather is 195 f

Question

The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 13 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather, the mean arrival rate is 200 flights per hour 210 215 200 189 200 213 202 181 197 199 193 209 215 192 179 196 225 199 196 210 199 188 174 176 202 95 195 208 222 221 Click r the Excel Data File (a) Set up a right-tailed decision rule at a025 to decide whether there has been a significant increase in the mean number of arrivals per hour. Choose the appropriate hypothesis a. H1 : ? > 195, reject H1 ifzc 1 .96 b. H1: 1.96 ?. H0: p2 195, reject Ho if z 1.96 ?? (b-1) Calculate the test statistic. (Round your answer to 2 decimal places.) Test statistic (b-2) What is the conclusion? There has been a significant increase in the average number of flight departures There has not been a significant increase in the average number of flight departures (b-3) Would the decision have been different if you used a .01? a. Yes, Z.01 2.33 and 2.11

Explanation / Answer

a) d. H0 :?<=195, reject H0 if z>1.96

b-1) z = (x – ?) / (? / ?n). Here x = 200,  ? = 195 , ? = 13, n=30.

z= (200-195)/ (13/?30) = 2.11

b-2) As z > 1.96, we reject the null hypothesis.There has been a significant increase in the average number of flight departures

b-3) a. Yes z.01 =2.33 and 2.11<2.33, so we would still have concluded that there is no evidence to indicate a significant increase

c) We have assumed a normal population or at least one that is not badly skewed.

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