Question

A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed 24 individuals and asked them their daily one-way commuting mileage. The results are below. Using a 5% significance level, test the hypothesis that the three mean commuting mileages are the same. (Let 1 = Working-class, 2 = Professional (middle incomes), and 3 = Professional (wealthy).)

Working-class | Professional (middle incomes) | Professional (wealthy) |
---|---|---|

17.3 | 16.4 | 8.4 |

25.9 | 16.7 | 6.0 |

48.6 | 21.5 | 3.9 |

8.7 | 6.6 | 12.5 |

64.7 | 9.1 | 10.6 |

46.2 | 1.8 | 28.1 |

18.7 | 5.6 | 14.8 |

50.7 | 13.4 | 8.5 |

A. Enter an exact number as an integer, fraction, or
decimal.

*df*(*num*) =

B. Enter an exact number as an integer, fraction, or decimal.

*df*(*denom*) =

C. What is the test statistic? (Round your answer to two decimal
places.)

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

F. What is the alpha? (Enter an exact number as an integer, fraction, or decimal.)

Answer #1

The statistical software output for this problem is:

From above output:

a) df(Num) = **2**

b) df(Denom) = **21**

c) Test statistic = **8.92**

d) p - Value = **0.0016**

e) alpha = **0.05**

A graphing calculator is recommended.
A grassroots group opposed to a proposed increase in the gas tax
claimed that the increase would hurt working-class people the most,
since they commute the farthest to work. Suppose that the group
randomly surveyed 24 individuals and asked them their daily one-way
commuting mileage. The results are below. Using a 5% significance
level, test the hypothesis that the three mean commuting mileages
are the same. (Let 1 = Working-class, 2 = Professional (middle
incomes),...

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73
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76
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85
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82
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