The data in the fi le GestationLifeExpectancy gives the gestation period (in days) and the life expectancy (in years) for a sample of mammals. We will consider this sample to be representative of all mammals for these two variables. Consider conducting an analysis to test whether the sample data provide strong evidence of an association between gestation period and life expectancy.
a. What is the value of the slope of the regression line and what does it mean in terms of gestation period and life expectancy?
b. State the appropriate null and alternative hypotheses in terms of the population slope.
c. Use a theory-based approach to find a p-value. Do you have strong evidence of an association between the two variables?
d. Remember that a Type II error is not rejecting a false null hypothesis (or a missed opportunity). Do you think you made a Type II error for this exercise? Why or why not?