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.
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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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.
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