Repeat the previous exercise, replacing distance with elevation gain as the explanatory variable. The data on hiking time (in minutes) and elevation gain (in feet) can be found in the data file HikeElevations.

Data from previous exercise

a. Conduct a t-test to determine whether the data provide strong evidence of a positive association between hiking time and distance. Report the hypotheses, test statistic, and p-value. Summarize your conclusion.

b. Determine a 95% confidence interval for the population slope coefficient. Interpret this interval, including an interpretation of what slope means in this context.