21 A student wants to see if the number of times a book has been checked out of the library in the past yearand the number of pages in the book are related. She guesses that the number of times a book has beenchecked out of the library in the past year will be a predictor of the number of pages it has. She randomlysampled 13 books from the library, test her claim at a 0.10 level of significance.number of times checked outnumber of pages434081138214356464323036520226364343442013802730040361403169.238The correlation coefficient:r=(round to 3 decimal places)The equation y=a+bx is: (round to 3 decimal places)y=+XThe 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 1.796The test value is:(round to 3 decimal places)The p-value is:(round to 3 decimal places)The decision is toO reject Hodo not reject HọThus the final conclusion sentence isThere 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.

Name: 21 A student wants to see if the number of times a book has been check
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Description: 21 A student wants to see if the number of times a book has been checked out of the library in the past yearand the number of pages in the book are related. She guesses that the number of times a book has beenchecked out of the library in the past ye

As per our guidelines, we are allowed to answer three sub-parts only (1) Let X represents the…

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The correlation coefficient: (round to 3 decimal places) The equation y=a+bx is: (round to 3 decimal places) The hypotheses are: Ho :p= 0 (no linear relationship) HẠ: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

The correlation coefficient: (round to 3 decimal places) The equation y=a+bx is: (round to 3 decimal places) The hypotheses are: Ho :p= 0 (no linear relationship) HẠ: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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

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
408
11
382
14
356
46
432
30
365
20
226
36
434
34
420
1
380
27
300
40
361
40
316
9.
238
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:
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
do not reject Họ
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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