Question

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

As part of a study designed to compare hybrid and similarly
equipped conventional vehicles, *Consumer Reports* tested a
variety of classes of hybrid and all-gas model cars and sport
utility vehicles (SUVs). The following data show the
miles-per-gallon rating *Consumer Reports* obtained for two
hybrid small cars, two hybrid midsize cars, two hybrid small SUVs,
and two hybrid midsize SUVs; also shown are the miles per gallon
obtained for eight similarly equipped conventional models.

Make/Model | Class | Type | MPG |
---|---|---|---|

Honda Civic | Small Car | Hybrid | 37 |

Honda Civic | Small Car | Conventional | 28 |

Toyota Prius | Small Car | Hybrid | 44 |

Toyota Corolla | Small Car | Conventional | 32 |

Chevrolet Malibu | Midsize Car | Hybrid | 27 |

Chevrolet Malibu | Midsize Car | Conventional | 23 |

Nissan Altima | Midsize Car | Hybrid | 32 |

Nissan Altima | Midsize Car | Conventional | 25 |

Ford Escape | Small SUV | Hybrid | 27 |

Ford Escape | Small SUV | Conventional | 21 |

Saturn Vue | Small SUV | Hybrid | 28 |

Saturn Vue | Small SUV | Conventional | 22 |

Lexus RX | Midsize SUV | Hybrid | 23 |

Lexus RX | Midsize SUV | Conventional | 19 |

Toyota Highlander | Midsize SUV | Hybrid | 24 |

Toyota Highlander | Midsize SUV | Conventional | 18 |

At the α = 0.05 level of significance, test for significant effects due to class, type, and interaction.

Find the value of the test statistic for class. (Round your answer to two decimal places.)

Find the *p*-value for class. (Round your answer to three
decimal places.)

*p*-value =

State your conclusion about class.

Because the *p*-value ≤ α = 0.05, class is not
significant.Because the *p*-value > α = 0.05, class is
not significant. Because the
*p*-value ≤ α = 0.05, class is significant.Because the
*p*-value > α = 0.05, class is significant.

Find the value of the test statistic for type. (Round your answer to two decimal places.)

Find the *p*-value for type. (Round your answer to three
decimal places.)

*p*-value =

State your conclusion about type.

Because the *p*-value ≤ α = 0.05, type is not
significant.Because the *p*-value > α = 0.05, type is
significant. Because the *p*-value
> α = 0.05, type is not significant.Because the *p*-value
≤ α = 0.05, type is significant.

Find the value of the test statistic for interaction between class and type. (Round your answer to two decimal places.)

Find the *p*-value for interaction between class and
type. (Round your answer to three decimal places.)

*p*-value =

State your conclusion about interaction between class and type.

Because the *p*-value ≤ α = 0.05, interaction between
class and type is significant.Because the *p*-value > α =
0.05, interaction between class and type is
significant. Because the *p*-value ≤
α = 0.05, interaction between class and type is not
significant.Because the *p*-value > α = 0.05, interaction
between class and type is not significant.

Answer #1

Minitab output:

Two-way ANOVA: MPG versus Type, Class

Source DF SS MS F P

Type 1 182.25 182.250 29.76 0.001

Class 3 441.25 147.083 24.01 0.000

Interaction 3 19.25 6.417 1.05 0.423

Error 8 49.00 6.125

Total 15 691.75

The value of the test statistic for class=24.01

*p*-value =0.000

Because the *p*-value ≤ α = 0.05, class is
significant.

The value of the test statistic for type=29.76

*p*-value =0.001

Because the *p*-value ≤ α = 0.05, type is
significant.

The value of the test statistic for interaction between class and type=1.05

*p*-value =0.423

Because the *p*-value > α = 0.05, interaction between
class and type is not significant.

You may need to use the appropriate technology to answer this
question.
As part of a study designed to compare hybrid and similarly
equipped conventional vehicles, Consumer Reports tested a
variety of classes of hybrid and all-gas model cars and sport
utility vehicles (SUVs). The following data show the
miles-per-gallon rating Consumer Reports obtained for two
hybrid small cars, two hybrid midsize cars, two hybrid small SUVs,
and two hybrid midsize SUVs; also shown are the miles per gallon
obtained...

As part of a study designed to compare hybrid and similarly
equipped conventional vehicles, Consumer Reports tested a
variety of classes of hybrid and all-gas model cars and sport
utility vehicles (SUVs). The following data show the
miles-per-gallon rating Consumer Reports obtained for two
hybrid small cars, two hybrid midsize cars, two hybrid small SUVs,
and two hybrid midsize SUVs; also shown are the miles per gallon
obtained for eight similarly equipped conventional models.
Make/Model
Class
Type
MPG
Honda Civic...

As part of a study designed to compare hybrid and similarly
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The data showing the miles-per-gallon rating study obtained for two
hybrid small cars, two hybrid midsize cars, two hybrid small SUVs,
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a. At...

As part of a study designed to compare hybrid and similarly
equipped conventional vehicles, Consumer Reports tested a
variety of classes of hybrid and all-gas model cars and sport
utility vehicles (SUVs) were tested. The following data show the
miles-per-gallon rating Consumer Reports obtained for two
hybrid small cars, two hybrid midsize cars, two hybrid small SUVs,
and two hybrid midsize SUVs; also shown are the miles per gallon
obtained for eight similarly equipped conventional models.
Make/Model
Class
Type
MPG...

As part of a study designed to compare hybrid and similarly
equipped conventional vehicles, a group tested a variety of classes
of hybrid and all-gas model cars and sport utility vehicles (SUVs).
Suppose the following data show the miles-per-gallon rating
obtained for two hybrid small cars, two hybrid midsize cars, two
hybrid small SUVs, and two hybrid midsize SUVs; also shown are the
miles per gallon obtained for eight similarly equipped conventional
models.
Class
Type
MPG
Small Car
Hybrid
37...

As part of a study designed to compare hybrid and similarly
equipped conventional vehicles, a group tested a variety of classes
of hybrid and all-gas model cars and sport utility vehicles (SUVs).
Suppose the following data show the miles-per-gallon rating
obtained for two hybrid small cars, two hybrid midsize cars, two
hybrid small SUVs, and two hybrid midsize SUVs; also shown are the
miles per gallon obtained for eight similarly equipped conventional
models.
Class
Type
MPG
Small Car
Hybrid
38...

As part of a study designed to compare hybrid and similarly
equipped conventional vehicles, a group tested a variety of classes
of hybrid and all-gas model cars and sport utility vehicles (SUVs).
Suppose the following data show the miles-per-gallon rating
obtained for two hybrid small cars, two hybrid midsize cars, two
hybrid small SUVs, and two hybrid midsize SUVs; also shown are the
miles per gallon obtained for eight similarly equipped conventional
models.
Class
Type
MPG
Small Car
Hybrid
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A
8
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