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 43 243 11 236 25 280 43 360 38 252 42 350 38 329 37 332 47 439 25 404 18 269 46 412 43 289 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 0.10 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 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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
43	243
11	236
25	280
43	360
38	252
42	350
38	329
37	332
47	439
25	404
18	269
46	412
43	289

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 0.10 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

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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