A student wants to see if the number of times a book has been checked out of the library in the past year and the number of pages in the book are related. She guesses that the number of times a book has been checked out of the library in the past year will be a predictor of the number of pages it has. She randomly sampled 15 books from the library, test her claim at a 0.10 level of significance.
A student wants to see if the number of times a book has been checked out of the library in the past year and the number of pages in the book are related. She guesses that the number of times a book has been checked out of the library in the past year will be a predictor of the number of pages it has. She randomly sampled 15 books from the library, test her claim at a 0.10 level of significance.
| number of times checked out | number of pages |
|---|---|
| 17 | 336 |
| 19 | 360 |
| 36 | 417 |
| 23 | 295 |
| 21 | 363 |
| 19 | 347 |
| 28 | 345 |
| 37 | 349 |
| 23 | 236 |
| 33 | 300 |
| 27 | 359 |
| 46 | 340 |
| 34 | 283 |
| 21 | 412 |
| 20 | 225 |
The
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 0.10 the critical value is -1.771 and 1.771
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.
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