Question 4. To produce enough energy from your own wind turbine, the site's annual average wind speed should exceed 8 mph. To see if your candidate site is suitable, you randomly record 1114 readings of wind speed around the site, finding an average of 8.019 mph with a standard deviation of 3.813 mph. a. Calculate a 95% confidence interval. Please make sure to write an appropriate conclusion statement that includes the interpretation of the confidence interval. [18 marks] b. What statistical test is most appropriate to decide whether to place a wind turbine at this site? [1 mark] c. Write an appropriate null and alternative hypothesis for this question. [2 marks] d. Calculate the appropriate test statistic. [4 marks] e. Using the t-table in the textbook, or Excel, find the P-value. [2 marks] f. Assuming a 5% significance level, what is the appropriate decisions for this test and why? [2 marks] g. Write a one-sentence conclusion statement. What would you tell the landowner (in 1-2 sentences) about the candidate site? [3 marks]