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In: Statistics and Probability

13. The data below shows height​ (in inches) and pulse rates​ (in beats per​ minute) of...

13. The data below shows height​ (in inches) and pulse rates​ (in beats per​ minute) of a random sample of women. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value using a=0.05. Is there sufficient evidence to conclude that there is a linear correlation between height and pulse​ rate?

height_(x)           pulse_rate_(y)

61.2        75

67.8        73

60.1        88

60.1        64

59.3        71

60.9        70

59.5        83

60.8        65

67.8        67

59.9        70

67.9        84

62.8        79

60.4        71

63.4        66

58.1        70

60.4        65

66.4        77

60.2        74

67.1        81

61.5        78

What are the null and alternative​ hypotheses?

Construct the scatterplot.

The linear correlation coefficient r is _____

(Round to three decimal places as​ needed.)

The test statistic t is _____

(Round to three decimal places as​ needed.)

The​ P-value is ______

(Round to three decimal places as​ needed.)

Because the​ P-value is (greater,less) than the significance level 0.05​, there (is not, is) sufficient evidence to support the claim that there is a linear correlation between selling price​ (in hundred​ thousands) and the list price​ (in hundred​ thousands) of homes sold for a significance level of a=0.05.

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