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Does exercise produce weight loss? Five employees at the Krispy Kreme in Orem tr

ID: 3222706 • Letter: D

Question

Does exercise produce weight loss? Five employees at the Krispy Kreme in Orem try to find out. They count how many hours they each work out over a six month period, then weigh themselves:

Workout hours per week (x)

Weight (y)

0

240

10

210

10

220

15

185

20

161


The goal is to calculate the correlation coefficient for these data. First, what’s the mean of x?

more than 13.5

The goal is to calculate the correlation coefficient for these data. What’s the mean of y?

more than 220.0

more than 10,600

more than 800

more than 20,600

What is the correlation coefficient for these data?

more than -0.70

Calculate t for the correlation coefficient. Take the absolute value. What is it?

more than 5.5

How many degrees of freedom should be used to calculate the p-value for the hypothesis that r=0?

5

Given the t-score and degree of freedom you just calculated, what is p-value given a two-tail test?

more than 0.0055

If the two-tailed t-test p-value for the significance test on the correlation coefficient r is 0.008, which of the following statement is true?

The correlation between workout hours and weight is statistically significantly no different from zero at 5% significance level.

Workout hours per week (x)

Weight (y)

0

240

10

210

10

220

15

185

20

161

Explanation / Answer

mean of x--between 10.5 and 11.5

mean of y--between 200.1 and 220.0

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The correlation between workout hours and weight is statistically significantly different from zero at 5% significance level.

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