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

ID: 3312721 • Letter: T

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 14 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 202 flights per hour.

Set up a right-tailed decision rule at = .025 to decide whether there has been a significant increase in the mean number of arrivals per hour. Choose the appropriate hypothesis.

Calculate the test statistic. (Round your answer to 2 decimal places.)

No, z.01 = 2.33 and 2.74 > 2.33, so we would still have concluded that there has been a significant increase in the average number of flight departures.

Yes, z.01 = 2.33 and 2.74 > 2.33, so we would still have concluded that there is no evidence to indicate a significant increase.

The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 14 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 202 flights per hour.

Explanation / Answer

Ans:

a)

H1: > 195, reject H1 if z < 1.960 or reject H0,if z>1.96

b-1)

Test statistic:

z=(202-195)/(14/sqrt(30))=2.74

b-2)As,z>1.96,reject H0,

There has been a significant increase in the average number of flight departures.

b-3)

No, z.01 = 2.33 and 2.74 > 2.33, so we would still have concluded that there has been a significant increase in the average number of flight departures.

No

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

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