Question

A student wants to see if the weight of a paperback book and the
number of pages in the book are related. She guesses that the
weight of the book will be a predictor of the number of pages it
has. She randomly sampled 11 books from the library, test her claim
at a 0.05 level of significance.

weight in ounces | number of pages |
---|---|

41 | 61 |

1 | 95 |

7 | 29 |

24 | 121 |

11 | 35 |

39 | 141 |

19 | 45 |

21 | 97 |

49 | 112 |

8 | 32 |

42 | 99 |

The correlation coefficient:

r= (round to 3 decimal places)

The equation y=a+bx is: (round to 3 decimal places)

y=+ x

The hypotheses are:

H0:ρ=0H0:ρ=0 (no linear relationship)

HA:ρ≠0HA:ρ≠0 (linear relationship) (claim)

Since αα is 0.05 the critical value is -2.262 and 2.262

The test value is: (round to 3 decimal places)

The p-value is: (round to 3 decimal places)

The decision is to

- reject H0H0
- do not reject H0H0

Thus the final conclusion sentence is

- There is enough evidence to reject the claim that there is a linear relationship.
- There is not enough evidence to reject the claim that there is a linear relationship.
- There is enough evidence to support the claim that there is a linear relationship.
- There is not enough evidence to support the claim that there is a linear relationship.

Answer #1

(6) Decision: Do not reject H0.

(7) Conclusion: There is not enough evidence to support the claim that there is a linear relationship.

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