SOLUTION: 9.22 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
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Question 293251: 9.22 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. (a) Set up a right-tailed decision rule at a =.025 to decide whether there has been a significant increase in the mean number of arrivals per hour. (b) Carry out the test and make the decision. Is it close? Would the decision be different if you used a = .01? (c) What assumptions are you making,
if any? Flights
210 215 200 189 200 213 202 181 197 199
193 209 215 192 179 196 225 199 196 210
199 188 174 176 202 195 195 208 222 221
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
-----
(a) Set up a right-tailed decision rule at a =.025 to decide whether there has been a significant increase in the mean number of arrivals per hour.
----------
(b) Carry out the test and make the decision. Is it close? Would the decision be different if you used a = .01?
----------
(c) What assumptions are you making, if any?
Flights
210 215 200 189 200 213 202 181 197 199
193 209 215 192 179 196 225 199 196 210
199 188 174 176 202 195 195 208 222 221
========
Ho: u =195
Ha: u > 195
---
test statistic: t(200) = (200-195)/[13/sqrt(30)] = 2.1066..
---
p-value = tcdf(2.1066,100, with df = 29) = 0.022
---
Conclusion: Since the p-value is less than 0.025 reject Ho.
----
Yes, the decision is close.
Yes, the decision would be to not reject Ho if alpha was 1%
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Cheers,
Stan H.
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