Reconsider the data on day hikes in San Luis Obispo County from Exercises 10.3.21–10.3.23. The data on hiking time (in minutes) and distance (in miles) can be found in the data file HikeDistances.
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.