1.) Calculate the mean and standard deviation of the pH levels of Lake 153. 2.) As a data analyst for the DFW, you are concerned in pH levels dip below 6.0. How would you formulate this as a formal hypothesis test? Ho: HA: 3.) Describe what a Type I and Type II error would entail in this scenario, and what the consequences of making each one would be. Type I Error: Type II Error: 4.) Using your mean and standard deviation you calculated in part (1.), construct a 95% confidence Interval for the true mean pH level of Lake 153. 5.) Interpret your confidence interval you just calculated in part (4.). 6.) Test the hypothesis from part (2.) at the a = 0.05 level using the critical value approach. 7.) What is the approximate p-value of your test in part (6.)? 8.) Based on your above results in parts (4.), (6.), and (7.), should the Department of Fish and Wildlife be concerned about the acidity of Lake 153? Be sure to justify your decision using the results from above.