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 1l0.1666 Рарer Glass 0.1666 Determine the null and alternative hypotheses Họ: P I (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.) O A. There is one critical value at r= O B. There are two critical values at r= 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.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.5: Choosing A Data Display
Problem 19E
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a = .05
a = .01
4
.950
.990
.878
.959
6.
.811
.917
.754
.875
.707
.834
.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
.505
30
.361
.463
35
.335
.430
40
.312
.402
45
.294
.378
50
.279
.361
60
.254
.330
70
.236
.305
80
.220
.286
90
.207
.269
100
.196
.256
Transcribed Image Text:a = .05 a = .01 4 .950 .990 .878 .959 6. .811 .917 .754 .875 .707 .834 .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 .505 30 .361 .463 35 .335 .430 40 .312 .402 45 .294 .378 50 .279 .361 60 .254 .330 70 .236 .305 80 .220 .286 90 .207 .269 100 .196 .256
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
Correlation matrix:
and glass? Use a significance level of a = 0.05.
Variables Paper Glass
Click here to view a table of critical values for the correlation coefficient.
|Раper
0.1666
Glass
0.1666
Determine the null and alternative hypotheses.
Ho: p
H1: p v
(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.)
O A. There is one critical value at r=
O 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
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 Correlation matrix: and glass? Use a significance level of a = 0.05. Variables Paper Glass Click here to view a table of critical values for the correlation coefficient. |Раper 0.1666 Glass 0.1666 Determine the null and alternative hypotheses. Ho: p H1: p v (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.) O A. There is one critical value at r= O 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 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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