the heights (in inches) and pulse rates (in beats per minute) for a sample of 10
ID: 3157633 • Letter: T
Question
the heights (in inches) and pulse rates (in beats per minute) for a sample of 10 women were measured. Using technology with the paired height/ pulse data, the linear correlation coefficient is found to be 0.616. 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 a=0.05
Because [0.616] 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 a=0.05
Explanation / Answer
Compute th efollowing test statistic.
t=r/sqrt (1-r^2/n-2)
=0.616/sqrt (1-0.616^2/10-2)
=2.21
The p value at df=8, alpha=0.05 is 0.0290.
The p value is less than alpha=0.05. Reject H0, to cocnlude that there is a positive linear correaltion between height and pulse rat eof a woman.
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