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

Open Brain data: https://www.limes.one/Content/DataFiles/Brains.txt

SETUP: It is believed that the larger the head circumference the larger the brain volume should be. Given the data your job is to confirm or disprove this assertion.

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 the P-value/margin of error?

a. 9.30595E-20

b. 0.304733709

c. 0.022233887

d. 1.86119E-19

e. None of these

3. Statistical interpretation

a. Since P-value is very small we are confident that the average of the first sample is smaller than the other

b. Since P-value is very small we are very confident that the averages are different.

c. Since P-value is very small we are confident that the slope of regression line is not zero.

d. 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.