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The max grade for this lab is 110 but the scale is still 100 points. The 10 points are extra credit. In what follows, use

The max grade for this lab is 110 but the scale is still 100 points. The 10 points are extra credit.

In what follows, use any of the following tests/procedures: Regression, multiple regression, confidence intervals, one-sided t-test or two-sided t-test. All the procedures should be done with a 5%P-value or a 95% confidence interval.

Upload the dataHeartRate_Exercise. These data are based on 45 randomly chosen high school students.

weekly exercise (hours) Heart Rate at rest 16 55 2 76 3 78 17 46 19 76 3 68 19 61 12 68 15 48 2 71 4 72 2 81 10 64 9 61 0 73 0 84 5 72 16 58 0 77 19 54 4 79 8 73 6 85 17 57 2 75 7 85 13 73 3 75 8 84 6 52 5 60 18 69 1 66 19 90 19 64 5 65 0 74 2 55 18 67 2 78 0 71 18 76 11 76 13 84 0 91 

SETUP: It is believed that high school students who do not exercise have a heart rate (at rest) above 70. Given the data your job is to confirm or disprove this belief.

1. What test/procedure did you perform?

  • a. One-sided t-test
  • b. Two-sided t-test
  • c. Regression
  • d. Confidence interval

2. What is theP-value/margin of error?

  • a. 1.56075E-45
  • b. 3.1215E-45
  • c. 6.149555
  • d. 8.065421
  • e. None of these

3. Statistical interpretation

  • a. Since theP-value is very small, we are confident that the average heart rate is above 70.
  • b. Since theP-value is very small, we are very confident that the averages are different.
  • c. Since theP-value is very small, we are confident that the slope of regression line is not zero.
  • d. We are 95% certain that the confidence interval is [70.268, 86.399].
  • e. None of these

4. Conclusion

  • a. Yes, I am confident that the above assertion is correct.
  • b. No, we cannot claim that the above assertion is correct.

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