Question

# A student wants to see if the weight of a paperback book and the number of...

A student wants to see if the weight of a paperback book and the number of pages in the book are related. She guesses that the weight of the book will be a predictor of the number of pages it has. She randomly sampled 11 books from the library, test her claim at a 0.05 level of significance.

weight in ounces number of pages
41 61
1 95
7 29
24 121
11 35
39 141
19 45
21 97
49 112
8 32
42 99

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 -2.262 and 2.262

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.

(6) Decision: Do not reject H0.

(7) Conclusion: There is not enough evidence to support the claim that there is a linear relationship.

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