The heights (in inches) and pulse rates (in beats per minute) for a sample of 30

Question

The heights (in inches) and pulse rates (in beats per minute) for a sample of 30 women were measured. Using technology with the paired height/pulse data, the linear correlation coefficient is found to be 0.416. Is there sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women? Use a significance level of =0.05.

because |0.416| is (blank 1) than the critical value, there is (blank 2) sufficent evidence to support the claim that there is a linear correlation between the heights and pulse rates of women for a significance level of a=0.05

blank 1=

a. greater

b. less

Blank 2

a. is

b. is not

Explanation / Answer

for degree of freedom =(30-2=28)

for 28 df and 0.05 level critical value of  correlation coefficient =0.675

hence because |0.416| is less then  the critical value, there is not sufficent evidence to support the claim that there is a linear correlation between the heights and pulse rates of women for a significance level of a=0.05

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