support the claim that there is a linear correlation between weights of discarded pa Click here to view a table of critical values for the correlation coefficient. Variables Paper Glass Раper Glass 10.3890 0.3890 1 a05 a = 01 .950 .990 878 .959 Determine the null and alternative hypotheses. 6. 811 .917 754 875 Hoip O 8. 707 834 9 .666 798 Type integers or decimals. Do not round.) dentify the test statistic, r. -O (Round to three decimal places as needed.) 10 .632 .765 11 .602 .735 12 576 .708 13 .553 .684 14 .532 .661 dentify the critical value(s). Round to three decimal places as needed.) 15 514 .641 16 497 .623 17 482 .606 OA. There is one critical value at r= 18 468 590 OB. There are two critical values at r= 1 19 456 .575 20 444 .561 State the conclusion. 25 396 505 30 361 463 V the positiv is a linear correlation between the weights of discarded paper and glass for a Because the absolute value of the test statistic is 35 335 430 40 .312 402 ignificance level of a = 0.05. 45 294 378 50 279 361 60 254 330 70 236 305

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Question
Table of critical values
shown to the right. Is there sufficient evidence to
A data set includes weights of garbage discarded in one week from 62 different hou
support the claim that there is a linear correlation between weights of discarded pa
Correlation matrix:
Variables Paper Glass
Click here to view a table of critical values for the correlation coefficient.
|Раper
10.3890
Glass
0.3890
1
a = .05
a = 01
4
.950
.990
.878
.959
Determine the null and alternative hypotheses.
6
.811
.917
7
.754
.875
Ho: P
8.
.707
.834
9.
.666
.798
(Type integers or decimals. Do not round.)
10
.632
.765
11
.602
.735
Identify the test statistic, r.
12
.576
.708
13
.553
.684
r =
(Round to three decimal places as needed.)
14
.532
.661
15
.514
.641
Identify the critical value(s).
(Round to three decimal places as needed.)
16
.497
.623
17
.482
.606
O A. There is one critical value at r=
18
.468
.590
19
.456
.575
B. There are two critical values at r = ±
20
.444
.561
25
.396
.505
State the conclusion.
30
.361
.463
Because the absolute value of the test statistic is
the positiv
35
.335
.430
is a linear correlation between the weights of discarded paper and glass for a
40
.312
.402
significance level of a = 0.05.
45
.294
.378
50
.279
.361
60
.254
.330
70
.236
.305
Transcribed Image Text:Table of critical values shown to the right. Is there sufficient evidence to A data set includes weights of garbage discarded in one week from 62 different hou support the claim that there is a linear correlation between weights of discarded pa Correlation matrix: Variables Paper Glass Click here to view a table of critical values for the correlation coefficient. |Раper 10.3890 Glass 0.3890 1 a = .05 a = 01 4 .950 .990 .878 .959 Determine the null and alternative hypotheses. 6 .811 .917 7 .754 .875 Ho: P 8. .707 .834 9. .666 .798 (Type integers or decimals. Do not round.) 10 .632 .765 11 .602 .735 Identify the test statistic, r. 12 .576 .708 13 .553 .684 r = (Round to three decimal places as needed.) 14 .532 .661 15 .514 .641 Identify the critical value(s). (Round to three decimal places as needed.) 16 .497 .623 17 .482 .606 O A. There is one critical value at r= 18 .468 .590 19 .456 .575 B. There are two critical values at r = ± 20 .444 .561 25 .396 .505 State the conclusion. 30 .361 .463 Because the absolute value of the test statistic is the positiv 35 .335 .430 is a linear correlation between the weights of discarded paper and glass for a 40 .312 .402 significance level of a = 0.05. 45 .294 .378 50 .279 .361 60 .254 .330 70 .236 .305
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
Click here to view a table of critical values for the correlation coefficient
|Раper
10.3890
Glass
0.3890
1
.....
Determine the null and alternative hypotheses.
Ho: P
(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 is one critical value at r=
B. There are two critical values at r= ±
State the conclusion.
Because the absolute value of the test statistic is
the positive critical value, there
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 Click here to view a table of critical values for the correlation coefficient |Раper 10.3890 Glass 0.3890 1 ..... Determine the null and alternative hypotheses. Ho: P (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 is one critical value at r= B. There are two critical values at r= ± State the conclusion. Because the absolute value of the test statistic is the positive critical value, there 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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