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Please show the steps thank you. 3. Researchers are measuring the strength of association between heart rates of monozygotic twins using Pearson correlation coefficient and

Please show the steps thank you.

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3. Researchers are measuring the strength of association between heart rates of monozygotic twins using Pearson correlation coefficient and data from 30 twins. Answer the following questions: 3a. The test statistic for testing whether the population correlation is 0 has a distribution with degrees of freedom. [0.4 points: 0.2 for each correct answer; GIVE THE CORRECT NUMBER FOR THE DEGREES OF FREEDOM] 3b. The critical value for this test with type I error of 0.05 is [0.4 points]. 3c. When the sample correlation is 0.75, the value of the test statistic is [0.4 points] 3d. Based on the above test statistic, you will not reject the null hypothesis at alpha = 0.05 level. Is this statement TRUE or FALSE? [0.4 points] 3e. For the above sample correlation, the coefficient of determination is [0.4 points]

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