Question

The Blue Wild Fish Company sells a particular species of fish that live in a local lake. In the entire lake the distribution of fish lengths follows a normal distribution with mean 34 inches and standard deviation 10.2 inches. You have 5 attempts for numeric answers and 1 attempt for multiple choice answers. Round answers to 2 decimal places. 1. Sketch the population distribution of all fish in the lake and label the bottom axes of the normal distribution for yourself. Then enter what you used for the middle and spread. blanknormal3 a. 2. A fisherman goes out and catches 40 fish every day. If we were to look at the distribution of the average lengths of the fish caught on each day we would be looking at a sampling distribution, and it would also follow a normal distribution. blanknormal3 a. The middle of this sampling distribution would be Correct: Your answer is correct. inches. b. The spread of this sampling distribution (called standard error) would be 1.61 Correct: Your answer is correct. inches, 3. How would mean and standard error of the sampling distribution change if took larger sample? a. The mean would Correct: Your answer is correct. . b. The standard error would Correct: Your answer is correct. . 3. Let's think about z-scores. a. If the fisherman went out fishing and caught only one fish with a length of 40.8 inches, what would be the corresponding z-score? Correct: Your answer is correct. b. If the fisherman went out fishing and caught the usual 40 fish and had a sample average length of 40.8 inches, what would be the corresponding z-score? Correct: Your answer is correct. c. Is the fisherman more likely to catch one fish with a length of 40.8 inches or a group of 40 fish with an average length of 40.8 inches? Correct: Your answer is correct. d. If the fisherman went out fishing and caught the usual 40 fish and had a sample average length of 31.7 inches, what would be the corresponding z-score? Incorrect: Your answer is incorrect. e. Is the fisherman more likely to catch a group of 40 fish with an average length of 40.8 inches or a group of 40 fish with an average length of 31.7 inches? Correct: Your answer is correct. 4. Consider the following probabilities: Put the smaller number then the larger number. a. If the fisherman only catches one fish a day, then approximately the middle 68% of those days the fish will have a length between Incorrect: Your answer is incorrect. and Incorrect: Your answer is incorrect. inches. b. If the fisherman catches the usual 40 fish a day, then approximately the middle 68% of those days the sample of fish will have an average length between and inches.

Answer 1