6. The earth's temperature can be measured by ground-based measuring or air-based measuring. The scientists claim that the ground-based temperatures are greater than the temperatures obtained by air-based measuring. 5 random locations are selected and the temperatures are recorded. (Assume that the temperatures are normally distributed.) Location Ground Air 1 46.7 47.4 45.6 48.2 36.1 38 4 30.8 32.6 5 24.9 26.1 a) (5 pts) Construct a hypothesis test that can be used to help the scientist test their claim. That is, state your null hypothesis and alternative hypothesis in terms of the relevant population parameter. b) (5 pts) Test the hypotheses constructed in part (a) using a significance level of 0.01. State your conclusion also in words. You can use critical value or P-value approach.