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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Use table of critical values for correlation coefficient.
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
10.2025
Click here to view a table of critical values for the correlation coefficient.
0.2025
Determine the null and alternative hypotheses.
(Type integers or decimals. Do not round.)
Identify the test statistic, r.
r=
(Round to three decimal places as needed.)
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 10.2025 Click here to view a table of critical values for the correlation coefficient. 0.2025 Determine the null and alternative hypotheses. (Type integers or decimals. Do not round.) Identify the test statistic, r. r= (Round to three decimal places as needed.)
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
10.2025
0.2025
Click here to view a table of critical values for the correlation coefficient.
Identify the critical value(s).
(Round to three decimal places as needed.)
O A. There are two critical values at r= ±
O B. There is one critical value 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.
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 10.2025 0.2025 Click here to view a table of critical values for the correlation coefficient. Identify the critical value(s). (Round to three decimal places as needed.) O A. There are two critical values at r= ± O B. There is one critical value 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.
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