1 The heights in inches and pulse rates in beats per minute

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The heights (in inches) and pulse rates (in beats per minute) for a sample of 6 women were measured. Using technology with the paired height/pulse data, the linear correlation coefficient is found to be 0.853. 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 ?=0.01.

Because 0.853 is greater////less______ than the critical value, there is not 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 ?=0.01.

Solution

Answer

let us take the hypothesis that there is no sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women

We can use t test t=r(sqrt(n-2)/sqrt(1-r²) =.853(sqrt(6-2)/sqrt(1-.853²)=3.2688

calculated value of t=3.2688

table value or significant value of t for 4 degrees of freedom at 0.01 level=4.604

Calculate value of t is less than the table value So, we accept the hypothesis that there is no 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 0.01