The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The tables below contains a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Company A and Company B. Company A 34 59 43 30 3 32 42 85 30 48 110 50 10 26 70 52 83 78 27 70 27 90 38 52 76 Company B 46 65 41 34 67 106 45 28 39 86 74 46 33 51 63 43 34 32 64 65 (a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let μ1 = population mean minutes late for delayed Company A flights and μ2 = population mean minutes late for delayed Company B flights.) H0: μ1 − μ2 ≤ 0 Ha: μ1 − μ2 > 0 H0: μ1 − μ2 ≥ 0 Ha: μ1 − μ2 < 0 H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 H0: μ1 − μ2 ≠ 0 Ha: μ1 − μ2 = 0 H0: μ1 − μ2 < 0 Ha: μ1 − μ2 = 0 (b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? Company A minCompany B min (c) Calculate the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, what is your conclusion? Reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. Do not Reject H0. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.Reject H0. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.

The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The tables below contains a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Company A and Company B. Company A 34 59 43 30 3 32 42 85 30 48 110 50 10 26 70 52 83 78 27 70 27 90 38 52 76 Company B 46 65 41 34 67 106 45 28 39 86 74 46 33 51 63 43 34 32 64 65 (a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let μ1 = population mean minutes late for delayed Company A flights and μ2 = population mean minutes late for delayed Company B flights.) H0: μ1 − μ2 ≤ 0 Ha: μ1 − μ2 > 0 H0: μ1 − μ2 ≥ 0 Ha: μ1 − μ2 < 0 H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 H0: μ1 − μ2 ≠ 0 Ha: μ1 − μ2 = 0 H0: μ1 − μ2 < 0 Ha: μ1 − μ2 = 0 (b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? Company A minCompany B min (c) Calculate the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, what is your conclusion? Reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. Do not Reject H0. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.Reject H0. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Company A

34	59	43	30	3
32	42	85	30	48
110	50	10	26	70
52	83	78	27	70
27	90	38	52	76

Company B

46	65	41	34	67
106	45	28	39	86
74	46	33	51	63
43	34	32	64	65

(a)

Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let μ₁ = population mean minutes late for delayed Company A flights and μ₂ = population mean minutes late for delayed Company B flights.)

H₀: μ₁ − μ₂ ≤ 0

H_a: μ₁ − μ₂ > 0

H₀: μ₁ − μ₂ ≥ 0

H_a: μ₁ − μ₂ < 0

H₀: μ₁ − μ₂ = 0

H_a: μ₁ − μ₂ ≠ 0

H₀: μ₁ − μ₂ ≠ 0

H_a: μ₁ − μ₂ = 0

H₀: μ₁ − μ₂ < 0

H_a: μ₁ − μ₂ = 0

(b)

What is the sample mean number of minutes late for delayed flights for each of these two airlines?

Company A minCompany B min

(c)

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

What is the p-value? (Round your answer to four decimal places.)

p-value =

Using a 0.05 level of significance, what is your conclusion?

Reject H₀. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.Do not reject H₀. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. Do not Reject H₀. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.Reject H₀. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.

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