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 a = 0.05. Correlation matrix: Variables Paper Glass Paper Click here to view a table of critical values for the correlation coefficient 10.4292 Glass 0.4292 Determine the null and alternative hypotheses. H:p (Type integers or decimals. Do not round.) Identify the test statistic, r. r= (Round three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There is one critical value at r= O B. There are two critical values at r= 1. State the conclusion. Because the absolute value of the test statistic is V the positive critical value, there V 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 a =0.05.

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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 a = 0.05.
Correlation matrix:
Variables Paper Glass
Paper
Glass
Click here to view a table of critical values for the correlation coefficient.
10.4292
0.4292
Determine the null and alternative hypotheses.
Ho:P V
H;:p
(Type integers
decimals. Do not round.)
Identify the test statistic, r.
r= (Round
three decimal places as needed.)
Identify the critical value(s).
(Round to three decimal places as needed.)
O A. There is one critical value at r=
O B. There are two critical values at r= 1
State the conclusion.
Because the absolute value of the test statistic is
V the positive critical value, there
V 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 a = 0.05.
Transcribed Image Text: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 a = 0.05. Correlation matrix: Variables Paper Glass Paper Glass Click here to view a table of critical values for the correlation coefficient. 10.4292 0.4292 Determine the null and alternative hypotheses. Ho:P V H;:p (Type integers decimals. Do not round.) Identify the test statistic, r. r= (Round three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There is one critical value at r= O B. There are two critical values at r= 1 State the conclusion. Because the absolute value of the test statistic is V the positive critical value, there V 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 a = 0.05.
StatCrunch - Applets - Edit Data Stat Graph Help-
My StatCrunch
Row
Critical Values
var2
var3
var4
var5
var6
var7
var8
var9
var10
varl1
var12
var13
var14
var15
1
n
alpha = .05
alpha = 01
2
4
0.95
0.99
3
5
0.878
0.959
4
6.
0.811
0.917
5
0.754
0.875
6
8.
0.707
0.834
7
9.
0.666
0.798
8
10
0.632
0.765
9
11
0.602
0.735
10
12
0.576
0.708
11
13
0.553
0.684
12
14
0.532
0.661
13
15
0.514
0.641
14
16
0.497
0.623
15
17
0,482
0.606
16
18
0.468
0.59
17
19
0,456
0.575
18
20
0.444
0.561
19
25
0.396
0.505
20
30
0.361
0.463
21
35
0.335
0.43
22
40
0.312
0.402
23
45
0.294
0.378
24
50
0.279
0.361
25
60
0.254
0.33
26
70
0.236
0.305
27
80
0.22
0.286
28
90
0.207
0.269
29
100
0.196
0.256
30
Note: To test H
Transcribed Image Text:StatCrunch - Applets - Edit Data Stat Graph Help- My StatCrunch Row Critical Values var2 var3 var4 var5 var6 var7 var8 var9 var10 varl1 var12 var13 var14 var15 1 n alpha = .05 alpha = 01 2 4 0.95 0.99 3 5 0.878 0.959 4 6. 0.811 0.917 5 0.754 0.875 6 8. 0.707 0.834 7 9. 0.666 0.798 8 10 0.632 0.765 9 11 0.602 0.735 10 12 0.576 0.708 11 13 0.553 0.684 12 14 0.532 0.661 13 15 0.514 0.641 14 16 0.497 0.623 15 17 0,482 0.606 16 18 0.468 0.59 17 19 0,456 0.575 18 20 0.444 0.561 19 25 0.396 0.505 20 30 0.361 0.463 21 35 0.335 0.43 22 40 0.312 0.402 23 45 0.294 0.378 24 50 0.279 0.361 25 60 0.254 0.33 26 70 0.236 0.305 27 80 0.22 0.286 28 90 0.207 0.269 29 100 0.196 0.256 30 Note: To test H
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