DETAILS PREVIOUS ANSWERS MY NOTES 2. [9/10 Points] The Blue Wild Fish Company sells a particular species of fish that li

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Details Previous Answers My Notes 2 9 10 Points The Blue Wild Fish Company Sells A Particular Species Of Fish That Li 1 (63.45 KiB) Viewed 23 times

DETAILS PREVIOUS ANSWERS MY NOTES 2. [9/10 Points] 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. PRACTICE ANOTHER 1. A fisherman goes out and catches 35 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. a. The mean of this sampling distribution would be 34 inches. b. The standard deviation of this sampling distribution (called standard error) would be [1.72 2. How would mean and standard error of the sampling distribution change if took larger sample? a. The mean would stay the same b. The standard error would decrease inches, 3. Let's think about z-scores. a. If the fisherman went out fishing and caught only one fish with a length of 53.9 inches, what would be the corresponding z- score? 1.95 b. If the fisherman went out fishing and caught the usual 35 fish and had a sample average length of 53.9 inches, what would be the corresponding z-score? 11.54 c. Is the fisherman more likely to catch one fish with a length of 53.9 inches or a group of 35 fish with an average length of 53.9 inches? one fish ✔ d. If the fisherman went out fishing and caught the usual 35 fish and had a sample average length of 36.2 inches, what would be the corresponding z-score? 1.26 e. Is the fisherman more likely to catch one fish with a length of 53.9 inches or a group of 35 fish with an average length of 36.2 inches? 35 fish o✔ 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 99.7% of those days the fish will have a length between 3.72907 X and 64.27093 x inches. b. If the fisherman catches the usual 35 fish a day, then approximately the middle 99.7% of those days the sample of fish will have an average length between 28.88328 and 39.11672 inches.