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 0.476. 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 alpha = 0.01. Because |0.476| is than the critical value, there sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women for a significance level of alpha = 0.01.

Explanation / Answer

here critical value at 0.01 level and 28 degree of freedom tcritical=+/- 2.7633

here test stat t=r((n-2)/(1-r2))1/2 =2.8640

hence becasue |0.476| is greater then the critical value there is sufficient ..........

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