Suppose n = 6 and the sample correlation coefficient is r = 0.884. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.)t=critical t= Suppose n = 10 and the sample correlation coefficient is r = 0.884. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.)t=critical t=

population correlation coefficient (unknown) :ρ sample correlation coefficient (known; calculated from sample data) : rsample size: n To check that : Null Hypothesis: H0: ρ = 0 vs Alternate Hypothesis: H1: ρ ≠ 0 The test statistic for the test is given as: t0=rn−21−r2For n = 6 and the sample correlation coefficient is r = 0.884 we have: t0=rn−21−r2=0.884×41-0.8842=3.781924171 At 1% level of significance, the critical-value is obtained as:tα2=0.025,df:n-1=5 = ±2.571 As t0 > |t-critical = 2.571|, we reject H0 at 1% level of significance That is r is significant at the 1% level of significance Therefore, t = 3.782, critical t =±2.571For n = 10 and the sample correlation coefficient is r = 0.884 we have: t0=rn−21−r2=0.884×81-0.8842=5.348448455 At 1% level of significance, the critical-value is obtained as:tα2=0.025,df:n-1=9 = ±2.228 As t0 > |t-critical = 2.228|, we reject H0 at 1% level of significance That is r is significant at the 1% level of significance Therefore, t = 5.348, critical t =±2.228

Answered: Suppose n = 6 and the sample…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Suppose n = 6 and the sample correlation coefficient is r = 0.884. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.)

critical t=

Suppose n = 10 and the sample correlation coefficient is r = 0.884. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.)

critical t=

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