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 11 books from the library, test her claim at a 0.01 level of significance.

number of times checked out	number of pages
18	276
41	382
13	323
32	232
48	314
35	289
5	343
27	406
33	313
25	242
47	294

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 0.01 the critical value is -3.25 and 3.25

The test value is: (round to 3 decimal places)

The p-value is: (round to 3 decimal places)

I AM JUST NOT UNDERSTANDING WHY THE TEST VALUE IS WRONG

I AM PUTTING 0.102 FOR MY ANSWER AND IT IS NOT COUNTING IS AS CORRECT

THANK YOU

Answer 1

according to your question you are facing problem with the test statistic.

the correlation coefficient (r) = -0.034

[ using minitab.

steps:-

stat$\rightarrow$ correlation $\rightarrow$ in variables select 'number of times checked out' and 'number of pages' $\rightarrow$ok]

so, the test statistic be:-

t = run-2 V1 - 2 -0.03411 - 2 1 - (0.034)

probably it is showing wrong,because you have missed the - sign.

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