Question

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

45	63	42	32	67
105	46	28	39	86
75	45	33	50	62
42	34	33	65	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 min

Company 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.  

Reject H₀. There is 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.

Answer 1

Ans. We find mean and standard deviation using R:-

Conclusion:-

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.