In a sample of 300 steel rods, the correlation coefficient between diameter and length was r = 0.15. Find the P-value for testing H0: ρ ≤ 0 vs. H1: ρ > 0. Can you conclude that ρ > 0? Does the result in part (a) allow you to conclude that there is a strong correlation between eccentricity and smoothness? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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In a sample of 300 steel rods, the correlation coefficient between diameter and length was r
= 0.15.
Find the P-value for testing H0: ρ ≤ 0 vs. H1: ρ > 0. Can you conclude that ρ > 0?
Does the result in part (a) allow you to conclude that there is a strong correlation
between eccentricity and smoothness? Explain.

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