Question

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

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
199 188 174 176 202 195 195 208 222 221
(a)

Set up a right-tailed decision rule at α = .025 to decide whether there has been a significant increase in the mean number of arrivals per hour. Choose the appropriate hypothesis. (MULTIPLE CHOICE: a,b,c or d?)
a. H1: μ > 195, reject H1 if z < 1.96
b. H1: μ < 195, reject H1 if z > 1.96
c. H0: μ ≥ 195, reject H0 if z < 1.96
d. H0: μ ≤ 195, reject H0 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? (Multiple Choice: A or B?)
A There has been a significant increase in the average number of flight departures.
B 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 α = .01? (multiple choice A or B?)
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.
b.

No, z.01 = 2.33 and 2.11 < 2.33, so we would still have concluded that there has been a significant increase in the average number of flight departures.
a
b
(c) What assumptions are you making, if any? (Multiple choice A, B or C)
A We have assumed that the type of distribution does not matter.
B We have assumed a normal population or at least one that is not badly skewed.
C We have assumed that the data follow a uniform distribution.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
** Please use only RStudio and include code ** The mean arrival rate of flights at...
** Please use only RStudio and include code ** The mean arrival rate of flights at Philadelphia International Airport is 195 flights or less 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, the arrival rate per day is given in the data vector below called flights. Air traffic control manager wants to test if there is sufficient evidence that arrival rate has...
1. Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long,...
1. Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume...
Total blood volume (in ml) per body weight (in kg) is important in medical research. For...
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 33 26 40 33 32 39 29 The sample mean is x ≈ 33.1 ml/kg. Let x...
Snow avalanches can be a real problem for travelers in the western United States and Canada....
Snow avalanches can be a real problem for travelers in the western United States and Canada. A very common type of avalanche is called the slab avalanche. These have been studied extensively by David McClung, a professor of civil engineering at the University of British Columbia. Suppose slab avalanches studied in a region of Canada had an average thickness of μ = 66 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample...
Snow avalanches can be a real problem for travelers in the western United States and Canada....
Snow avalanches can be a real problem for travelers in the western United States and Canada. A very common type of avalanche is called the slab avalanche. These have been studied extensively by David McClung, a professor of civil engineering at the University of British Columbia. Suppose slab avalanches studied in a region of Canada had an average thickness of μ = 64 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample...
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W....
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x bar = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We...
Let x be a random variable that represents micrograms of lead per liter of water (µg/L)....
Let x be a random variable that represents micrograms of lead per liter of water (µg/L). An industrial plant discharges water into a creek. The Environmental Protection Agency (EPA) has studied the discharged water and found x to have a normal distribution, with σ = 0.7 µg/L. † Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small...
Snow avalanches can be a real problem for travelers in the western United States and Canada....
Snow avalanches can be a real problem for travelers in the western United States and Canada. A very common type of avalanche is called the slab avalanche. These have been studied extensively by David McClung, a professor of civil engineering at the University of British Columbia. Suppose slab avalanches studied in a region of Canada had an average thickness of μ = 69 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample...
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of...
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. In environmental studies, sex ratios are of great importance. Wolf society, packs, and ecology have been studied extensively at different locations in the U.S. and foreign...
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of...
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. In environmental studies, sex ratios are of great importance. Wolf society, packs, and ecology have been studied extensively at different locations in the U.S. and foreign...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT