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 0.05 level of significance. number of times checked out number of pages 13 223 45 350 49 377 30 371 3 343 7 280 17 218 7 265 20 382 23 287 1 313 30 388 20 358 2 311 40 421 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 -2.16 and 2.16 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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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 15 books from the library, test her claim at a 0.05 level of significance.

number of times checked out	number of pages
13	223
45	350
49	377
30	371
3	343
7	280
17	218
7	265
20	382
23	287
1	313
30	388
20	358
2	311
40	421

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 -2.16 and 2.16

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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