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.

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

45	63	41	33	67
105	44	29	37	84
76	45	32	51	63
42	35	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 ₁ = population mean minutes late for delayed Company A flights and ₂ = population mean minutes late for delayed Company B flights.)

H₀: _{1 2} 0

H_a: _{1 2} > 0

H₀: _{1 2} = 0

H_a: _{1 2} 0

H₀: _{1 2} < 0

H_a: _{1 2} = 0

H₀: _{1 2} 0

H_a: _{1 2} = 0

H₀: _{1 2} 0

H_a: _{1 2} < 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?

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.

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 no statistical evidence that one airline does better than the other in terms of their population mean delay time.