Question

AirTran |
Southwest |

34 | 45 |

59 | 64 |

43 | 42 |

30 | 33 |

3 | 66 |

32 | 105 |

42 | 45 |

85 | 28 |

30 | 38 |

48 | 85 |

110 | 75 |

50 | 45 |

10 | 33 |

26 | 50 |

70 | 63 |

52 | 42 |

83 | 35 |

78 | 33 |

27 | 64 |

70 | 65 |

27 | |

90 | |

38 | |

52 | |

76 |

You may need to use the appropriate technology to answer this question.

Researchers at Purdu University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time.† AirTran Airways and Southwest Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late? Sample data showing the number of minutes that delayed flights were late are provided in the file named AirDelay. Data are shown for both airlines. Assume population variances are unknown and unequal.

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 | 64 | 42 | 33 | 66 |

105 | 45 | 28 | 38 | 85 |

75 | 45 | 33 | 50 | 63 |

42 | 35 | 33 | 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 μ_{1} = population mean
minutes late for delayed Airtran flights and μ_{2} =
population mean minutes late for delayed Southwest flights.)

H_{0}: μ_{1} − μ_{2} = 0

H_{a}: μ_{1} − μ_{2} ≠ 0

H_{0}: μ_{1} − μ_{2} ≤ 0

H_{a}: μ_{1} − μ_{2} > 0

H_{0}: μ_{1} − μ_{2} ≠ 0

H_{a}: μ_{1} − μ_{2} = 0

H_{0}: μ_{1} − μ_{2} < 0

H_{a}: μ_{1} − μ_{2} = 0

H_{0}: μ_{1} − μ_{2} ≥ 0

H_{a}: μ_{1} − μ_{2} < 0

(b)

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

AirTran minSouthwest 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 *H*_{0}. There is no statistical
evidence that one airline does better than the other in terms of
their population mean delay time.

Reject *H*_{0}. There is statistical evidence
that one airline does better than the other in terms of their
population mean delay time.

Do not Reject *H*_{0}. There is statistical
evidence that one airline does better than the other in terms of
their population mean delay time.

Reject *H*_{0}. There is no statistical evidence
that one airline does better than the other in terms of their
population mean delay time.

Answer #1

Researchers at P University and W State University found that
airlines are doing a better job of getting passengers to their
destinations on time.† AirTran Airways and Southwest Airlines were
among the leaders in on-time arrivals with both having 88% of their
flights arriving on time. But for the 12% of flights that were
delayed, how many minutes were these flights late? Sample data
showing the number of minutes that delayed flights were late are
provided in the file named...

Researchers at Purdew University and Wichita State University
found that airlines are doing a better job of getting passengers to
their destinations on time. AirTran Airways and Southwest Airlines
were among the leaders in on-time arrivals with both having 88% of
their flights arriving on time. But for the 12% of flights that
were delayed, how many minutes were these flights late? Sample data
showing the number of minutes that delayed flights were late are
provided in the table below....

Researchers at James University and Wichita State University
found that airlines are doing a better job of getting passengers to
their destinations on time. AirTran Airways and Southwest Airlines
were among the leaders in on-time arrivals with both having 88% of
their flights arriving on time. But for the 12% of flights that
were delayed, how many minutes were these flights late? Sample data
showing the number of minutes that delayed flights were late are
provided in the file named...

Researchers at Perd University and Wichita State University
found that airlines are doing a better job of getting passengers to
their destinations on time. AirTran Airways and Southwest Airlines
were among the leaders in on-time arrivals with both having 88% of
their flights arriving on time. But for the 12% of flights that
were delayed, how many minutes were these flights late? Sample data
showing the number of minutes that delayed flights were late are
provided in the Excel Online...

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