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In a certain lake a limnologist wishes to estimate the proportion of lake trout with lamprey scars.
(a) How large of a random sample should be taken if the limnologist has no prior knowledge of the true proportion, but wants the bound to be within 0.04 with 90% confidence?
(b) How large should the sample be if the limnologist knows the true proportion does not exceed 0.20?
(c) If the limnologist caught 326 lake trout, and 47 had scars, calculate a 95% confidence interval for the true proportion of lake trout with lamprey scars.
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Generate 1000 samples for each of the following continuous random variables: (a). Exponential distribution with λ = 1.2 and λ = 2.1 (b). Normal distribution with μ = 3.1, σ
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Where an element of randomness is introduce by suing random numbers to pick up the unit with which to start this process of sampling is known as systematic sampling.
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List all possible simple random samples of size n = 2 that can be selected from the population {0, 1, 2, 3, 4}. Calculate 2 s for the population and Var y( ) for the sample.
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