Suppose a scheduled airline flight must average at least 64% occupancy in order to be profitable to the airline. Occupancy rates were recorded daily for a regularly scheduled flight on each of 120 days, showing a mean occupancy per flight deviation of 9%. 60% and a standard (a) If u is the mean occupancy per flight and if the company wishes to determine whether or not this scheduled flight is unprofitable, give the alternative and the null hypotheses for the test. O Ho: H= 64 versus H: 64 O Ho: H < 64 versus H: H> 64 O Họ: H = 64 versus H: u < 64 O Họ: H = 64 versus H: u > 64 O Ho: H = 64 versus H:= 64 (b) Does the alternative hypothesis in part (a) imply a one- or two-tailed test? Explain. O Since only small values of x would tend to disprove the null hypothesis, this is a one-tailed test. O Since only large values of x would tend to disprove the null hypothesis, this is a one-tailed test. O Since small or large values of x would tend to disprove the null hypothesis, this is a two-tailed test. O since only large values of x would tend to disprove the null hypothesis, this is a two-tailed test. O Since only small values of x would tend to disprove the null hypothesis, this is a two-tailed test. (c) Do the occupancy data for the 120 flights suggest that this scheduled flight is unprofitable? Test using a = 0.0s. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) test statistic rejection region State your conclusion. O H, is rejected. There is sufficient evidence to indicate that the flight is unprofitable. O Ho is not rejected. There is sufficient evidence to indicate that the flight is unprofitable. O H, is not rejected. There is insufficient evidence to indicate that the flight is unprofitable. O H, is rejected. There is insufficient evidence to indicate that the flight is unprofitable.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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This question has part a,b,and c.

Suppose a scheduled airline flight must average at least 64% occupancy in order to be profitable to the airline. Occupancy rates were recorded daily for a regularly scheduled flight on each of 120 days, showing a mean occupancy per flight of 60% and a standard
deviation of 9%.
(a) If u is the mean occupancy per flight and if the company wishes to determine whether or not this scheduled flight is unprofitable, give the alternative and the null hypotheses for the test.
O H,: u = 64 versus H: u + 64
O Ho: u < 64 versus H: u > 64
O H,: u = 64 versus H: u < 64
O Ho: H = 64 versus H: u > 64
O Ho: u + 64 versus H: µ = 64
(b) Does the alternative hypothesis in part (a) imply a one- or two-tailed test? Explain.
O since only small values of x would tend to disprove the null hypothesis, this is a one-tailed test.
O Since only large values of x would tend to disprove the null hypothesis, this is a one-tailed test.
O Since small or large values of x would tend to disprove the null hypothesis, this is a two-tailed test.
O Since only large values of x would tend to disprove the null hypothesis, this is a two-tailed test.
O Since only small values of x would tend to disprove the null hypothesis, this is a two-tailed test.
(c) Do the occupancy data for the 120 flights suggest that this scheduled flight is unprofitable? Test using a = 0.05. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
test statistic
z =
rejection region
State your conclusion.
O H, is rejected. There is sufficient evidence to indicate that the flight is unprofitable.
O H, is not rejected. There is sufficient evidence to indicate that the flight is unprofitable.
O H, is not rejected. There is insufficient evidence to indicate that the flight is unprofitable.
O H, is rejected. There is insufficient evidence to indicate that the flight is unprofitable.
Transcribed Image Text:Suppose a scheduled airline flight must average at least 64% occupancy in order to be profitable to the airline. Occupancy rates were recorded daily for a regularly scheduled flight on each of 120 days, showing a mean occupancy per flight of 60% and a standard deviation of 9%. (a) If u is the mean occupancy per flight and if the company wishes to determine whether or not this scheduled flight is unprofitable, give the alternative and the null hypotheses for the test. O H,: u = 64 versus H: u + 64 O Ho: u < 64 versus H: u > 64 O H,: u = 64 versus H: u < 64 O Ho: H = 64 versus H: u > 64 O Ho: u + 64 versus H: µ = 64 (b) Does the alternative hypothesis in part (a) imply a one- or two-tailed test? Explain. O since only small values of x would tend to disprove the null hypothesis, this is a one-tailed test. O Since only large values of x would tend to disprove the null hypothesis, this is a one-tailed test. O Since small or large values of x would tend to disprove the null hypothesis, this is a two-tailed test. O Since only large values of x would tend to disprove the null hypothesis, this is a two-tailed test. O Since only small values of x would tend to disprove the null hypothesis, this is a two-tailed test. (c) Do the occupancy data for the 120 flights suggest that this scheduled flight is unprofitable? Test using a = 0.05. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) test statistic z = rejection region State your conclusion. O H, is rejected. There is sufficient evidence to indicate that the flight is unprofitable. O H, is not rejected. There is sufficient evidence to indicate that the flight is unprofitable. O H, is not rejected. There is insufficient evidence to indicate that the flight is unprofitable. O H, is rejected. There is insufficient evidence to indicate that the flight is unprofitable.
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