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 13 books from the library, test her claim at a 0.10 level of significance. number of times checked out number of pages 30 272 4 269 43 379 28 341 48 376 4 231 46 405 11 244 31 259 220 25 418 31 341 3 337 The correlation coefficient: r= (round to 3 decimal places) The equation y=a+bx is: (round to 3 decimal places) y= The hypotheses are: Ho:p = 0 (no linear relationship) HA:P + 0 (linear relationship) (claim) Since a is 0.10 the critical value is -1.796 and 1.796 The test value is: (round to 3 decimal places) The p-value is: (round to 3 decimal places) The decision is to O reject Ho O do not reject Ho Thus the final conclusion sentence is O There is enough evidence to reject the claim that there is a linear relationship. O There is not enough evidence to reject the claim that there is a linear relationship. O There is enough evidence to support the claim that there is a linear relationship. O There is not enough evidence to support the claim that there is a linear relationship.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 13 books from the library, test her claim at a 0.10 level of significance.
number of times checked out
number of pages
30
272
4
269
43
379
28
341
48
376
4
231
46
405
11
244
31
259
4
220
25
418
31
341
3
337
The correlation coefficient:
r=
(round to 3 decimal places)
The equation y=a+bx is: (round to 3 decimal places)
y=
The hypotheses are:
Họ:p = 0 (no linear relationship)
HA:P + 0 (linear relationship) (claim)
Since a is 0.10 the critical value is -1.796 and 1.796
The test value is:
(round to 3 decimal places)
The p-value is:
(round to 3 decimal places)
The decision is to
O reject Ho
O do not reject Ho
Thus the final conclusion sentence is
O There is enough evidence to reject the claim that there is a linear relationship.
O There is not enough evidence to reject the claim that there is a linear relationship.
O There is enough evidence to support the claim that there is a linear relationship.
O There is not enough evidence to support the claim that there is a linear relationship.
Transcribed Image Text: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 13 books from the library, test her claim at a 0.10 level of significance. number of times checked out number of pages 30 272 4 269 43 379 28 341 48 376 4 231 46 405 11 244 31 259 4 220 25 418 31 341 3 337 The correlation coefficient: r= (round to 3 decimal places) The equation y=a+bx is: (round to 3 decimal places) y= The hypotheses are: Họ:p = 0 (no linear relationship) HA:P + 0 (linear relationship) (claim) Since a is 0.10 the critical value is -1.796 and 1.796 The test value is: (round to 3 decimal places) The p-value is: (round to 3 decimal places) The decision is to O reject Ho O do not reject Ho Thus the final conclusion sentence is O There is enough evidence to reject the claim that there is a linear relationship. O There is not enough evidence to reject the claim that there is a linear relationship. O There is enough evidence to support the claim that there is a linear relationship. O There is not enough evidence to support the claim that there is a linear relationship.
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