Q4 Hand-written Problem 6 Points An ice fishing lodge on Lake Nipissing recently proclaimed that the average northern pike in the lake was over two feet long. An experienced fisherman questioned the lodge's statement and decided to fish the lake for a week. He happened to catch n = 36 northern pike and determined the sample mean and standard deviation of pike length to be 25.5 inches and 4.5 inches, respectively. Q4.1 Test at the 1% level that the true mean pike length is greater than the fishing lodge's claim of 24 inches. Use a p-value to make your conclusion. Express the p-value to at least 4 decimal places. [Hint: You may use either R command pnorm(K, MEAN, STANDARD_DEVIATION, lower.tail=FALSE) or the standard normal table in your calculations.] Write and find the following: 1. Null and Alternative hypothesis 2. Level of significance 3. Test statistic 4. p-value 5. Decision: if you reject or do not reject null hypothesis 6. Concluding statement Q4.2 Explain what a type II error would represent in the context of the