Problems 1-3: Assume that you are fisheries biologist (or a bass fisherman) stud

Question

Problems 1-3: Assume that you are fisheries biologist (or a bass fisherman) studying the population of largemouth bass in a freshwater lake in Texas. Assume that the population of bass in the lake is known to have weights that are normally distributed with mean value of 4 lbm and a standard deviation 1.2 lbm. The total number of bass in the lake is estimated to be 25,000 bass.

Problem #1: If you catch one bass selected randomly from the lake, what is the probability the bass will weigh more than 7 lbm? Problem #2: 95% of bass in the lake are larger than what size (lbm)?

Problem #3: If you could somehow collect all the bass in the lake that have a weight between 3 and 5 lbm and weigh them as one mass, what would be the total weight of this subset of bass (lbm)? Hint: notice that the interval is symmetric about the population mean Problems 4-6:Assume you now go to a different lake having a (potential) different population of bass.You sample (catch, net?) ten bass from the lake with the following weights: Bass Number Weight (lbm) Bass Number Weight (lbm)

1 5.55 6 3.77

2 2.69 7 4.37

3 4.71 8 4.99 4 4 5.99 9 3.41

5 2.98 10 4.12

Problem #4: What is the sample average and standard deviation (lbm)? Show all your calculations for each xi value, i.e. you cannot use statistical software or calculator stat function to report the results. (however, you may check your results with software) Problem #5: Assuming Normal Distribution of sample means (a poor assumption for only ten bass), determine the 95% confidence interval on mean bass weight of the population in the lake. Problem #6: Using the Student

Explanation / Answer

3 4.71 8 4.99 4 4 5.99 9 3.41

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