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In the past, trout in Clearwater Creek were 13 inches long on average, with a 2.8 inch standard deviation. A recent sample of 37 trout from the creek found = 17.8. a. Build a 97% CI for the current mean length of trout in Clearwater Creek, using the old standard deviation as σ. Round all intermediate calculations to two decimals, then construct the CI and enter like this: (min,max). Be sure to include the parentheses or you will be marked wrong. Note: if you use a built-in Cl command on a calculator/computer, you might get marked wrong due to rounding. Use the formulas given in the text/notes. b. Use your CI to decide whether the mean length of trout in Clearwater Creek has changed from 13 inches. O Yes, the mean has probably changed since the old value of μ is not right in the middle of the new Cl O Yes, the mean has probably changed since the new Cl does not contain the old value of O No, the mean has not changed since the old value of u is right in the middle of the new Cl No, the mean has probably not changed since the new CI contains the old value of Submit Question
(49,51.1) (46.9,49) (45.4,47.5) (49.7,51.8) (51,53.1) (48.8,51) (47,49.1) (48.2,50.3) (49,51.1) (48.4,50.5) The table shows ten 60% CI's for u taken from a population that is N(49, 4). a. How many of the CI's would you expect to contain μ = 49? b. How many of the CI's actually contain μ = 49? Submit Question