As an aid to farmers, the Alberta government records freezing dates for over a hundred locations around the province. Based on average last-frost dates for spring, a researcher has proposed dividing the province into early last-frost locations and late last-frost locations. Refer to Data Set 17 of Appendix B.
Use the day-of-the-year columns to test, at the 0.01 significance level, the claim that the late last-frost locations have a different mean date for last spring frost than the early last-frost locations.
a. Conduct the hypothesis test using the traditional method.
b. Conduct the hypothesis test using the P-value method.
c. Conduct the hypothesis test by constructing a 99% confidence interval for the difference μ1 - μ2.
d. Compare the results from parts (a), (b), and (c)