In a sample of 300 steel rods, the correlation coefficient between diameter and length was r =

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In a sample of 300 steel rods, the correlation coefficient between diameter and length was r = 0.15. 

a. Find the P-value for testing H0 : ρ ≤ 0 vs. H1 :ρ > 0. Can you conclude that ρ > 0?

b. 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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