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1. A golf course grounds keeper wants to know if theres a positive linear relationship between the density of seed and the d

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Answer #1

Correlation: r (Using Excel function CORREL(x,y)) = 0.861

n = 7, Degrees of freedom: df = n-2 = 5

Level of significance = 0.05

H0: ρ = 0, There is no positive linear relationship between seed density and grass density

H1: ρ > 0, There is a positive linear relationship between seed density and grass density

Test statistic: t = r*((1-r*r)/(n-2))^0.5 = 0.861*((1-0.861*0.861)/(7-2))^0.5 = 0.196

Critical value (Using Excel function ABS(T.INV(probability,df))) = ABS(T.INV(0.05,5)) = 2.015

Since test statistic is less than critical value, we do not reject the null hypothesis.

So, there is no positive linear relationship between seed density and grass density.

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