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 α=0.05. Click here to view a table of critical values for the correlation coefficient. LOADING... Correlation matrix: Variables Paper Glass Paper 1 0.3098 Glass 0.3098 1 Determine the null and alternative hypotheses. H0: ρ ▼ greater than> less than< equals= not equals≠ nothing H1: ρ ▼ less than< equals= greater than> not equals≠ nothing (Type integers or decimals. Do not round.) Identify the test statistic, r. r=nothing (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=nothing. B. There are two critical values at r=±nothing. 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 α=0.05.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Variables	Paper	Glass
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 α=0.05. Click here to view a table of critical values for the correlation coefficient. LOADING...	Correlation matrix:
Paper	1	0.3098
Glass	0.3098	1

Determine the null and alternative hypotheses.

H0:

▼

greater than>

less than<

equals=

not equals≠

nothing

H1:

▼

less than<

equals=

greater than>

not equals≠

nothing

(Type integers or decimals. Do not round.)

Identify the test statistic, r.

r=nothing

(Round to three decimal places as needed.)

Identify the critical value(s).

(Round to three decimal places as needed.)

There is one critical value at

r=nothing.

There are two critical values at

r=±nothing.

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

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

α=0.05.

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