# 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 A34594330332428530481105010267052837827702790385276 Company B46654134671064528398674463351634334326465(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 ≤ 0Ha: μ1 − μ2 > 0H0: μ1 − μ2 ≥ 0Ha: μ1 − μ2 < 0    H0: μ1 − μ2 = 0Ha: μ1 − μ2 ≠ 0H0: μ1 − μ2 ≠ 0Ha: μ1 − μ2 = 0H0: μ1 − μ2 < 0Ha: 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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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)

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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Step 1

Enter the Data in Excel as shown below and use the Formula to calculate the sample mean and standard deviation

Step 2

Result Obtained

Step 3

a)

Formulation of Hypothesis

Null Hypothesis: H0: µ1-µ2 = 0

Alternative Hypothesis: Hα: µ1-µ2 ≠ 0

b)

Sample mean for Company A = 50.6

Sample Standard Deviation for company A = 26.41551

Sample size of A(nA) =20

Sample mean for Company B = 53...

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