A magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of α=0.01. Based on these​ results, can you expect to get higher quality by purchasing a more expensive LCD​ television?   Quality     75 74

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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A magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of
α=0.01.
Based on these​ results, can you expect to get higher quality by purchasing a more expensive LCD​ television?
 
Quality    
75
74
71
70
66
65
64
60
60
57
56
 
Cost
26
29
37
22
21
10
26
22
11
10
21

Determine the null and alternative hypotheses for this test.

Determine the correlation coefficient.
rs=enter your response here
​(Round to three decimal places as​ needed.)
 
Determine the critical​ value(s) of the correlation coefficient.
enter your response here
​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)
 
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