A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of =0.05.

Determine the null and alternative hypotheses.

H0: (not equals/less than)________(Type integers or decimals. Do not round.)

H1: (not equals/equals=/greater than>/less than<)____(Type integers or decimals. Do not round.)

Identify the test statistic, r.

r=___(Round to three decimal places as needed.)

Identify the critical value(s). (Round to three decimal places as needed.)

A. There are two critical values at r=____.

B. There is one critical value at r=______.

State the conclusion. Because the absolute value of the test statistic is less than or equal to/ greater than the positive critical value, there is not/is sufficient evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of =0.05.

n	u=.OS	u=.01
4	.950	.990
s	.878	.959
6	.811	.917
7	.754	.875
8	.707	.834
9	.666	.798
10	.632	.765
11	.602	.735
12	.576	.708
13	.553	.684
14	.532	.661
15	.514	.641
16	.497	.623
17	.482	.606
18	.468	.590
19	.456	.575
20	.444	.561
25	.396	.SOS
30	.361	.463
35	.335	.430
40	.312	.402
45	294	.378
so	.279	.361
60	.254	.330
70	.236	.305
80	.220	.286
90	.207	.269
100	.196	256

Correlation matrix:
Variables	Paper	Glass
Paper	1	0.1366
Glass	0.1366	1