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BB Finding Critical r Values Table 1 lists critical values

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 34BB Chapter 10.2

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 34BB

BB Finding Critical ?r? Values? Table 1 lists critical values of ?r? for selected values of ?n and ???. More generally, critical ?r? values can be found by using the formula where the ?t? value is found from the table of critical ?t? values (Table) assuming a two-tailed case with ?n? ? 1 degrees of freedom. Use the formula for ?r? given here and Table 2 (with ?n? – 2 degrees of freedom) to find the critical ?r? values corresponding to ?H?1: ??? ? 0, ? = 0.02, and ?n? = 27. Table 1? Critical Values of the Pearson Correlation Coefficient ?r Table 2? ?t? Distribution: Critical ?t? Values

Step-by-Step Solution:
Step 1 of 3

Solution 34BB Step1: From the above given problem we have, t r = t +n2 Where t = critical value we can get from table two tailed test with (n-2) degrees of freedom I.e, t = 2.485 Consider the hypothesis H :0= 0 H :1 = / 0, = 0.02, and sample size n = 27 Step2: Our aim is to find the critical value of r Step3: To find the critical value of r we can use the given formula r = t t +n2 = 2.485 (2.485) +272 2.485 = 31.1752 = 2.485 5.5834 = 0.4450 Therefore, the value of critical value is r = 0.4450

Step 2 of 3

Chapter 10.2, Problem 34BB is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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BB Finding Critical r Values Table 1 lists critical values