3. Walleye Trouble. Walleye is a sh that is native to the northern United States and Canada and is known for its excellent taste. It is especially popular in Minnesota where it is deemed their state sh. As a result it is often overshed in Minnesota lakes, especially Lake Mille Lacs. One way to measure the health of the population is through the average length of the sh because sh grow their entire lives. The DNR considers the walleye population in a lake to be strong if the mean length of walleye in the lake is more than 17 inches. The DNR conducted a sh survey and netted 660 walleye and calculated an average length of 17.5 inches and a standard deviation of 4.68 inches. Is this sufcient evidence to say the walleye population in Lake Mille Lacs is strong? (a) Identify ,u, in this scenario. (Choose One) 0 Length of a sh in the lake. 0 Average length of all sh in the lake. 0 Average length of the sh in the sample. 0 Length of the sh in the lake. (b) Conduct a hypothesis test of the above situation, using a signicance level of a=0.05. i. Identify the hypotheses H0 and HE. o a = 17 o a = 17.5 o E = 17.5 o E > 17.5 0 I\" > 17.5 o p. > 17 ii. Find the test statistic (Round your answer to 2 decimal places). iii. Using the table below, select the most appropriate pvalue. P(T t) 0.009 P(T > m) 0.018 iv. (FREE RESPONSE) Provide an interpretation of the pvalue you chose from the above table within the context of the problem. v. (FREE RESPONSE) Based on your ndings using the pvalue, write a conclusion in the context of the