19 - Practice Set 7 part A 1 A computer tossed a coin such...

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Practice Set 7, part A 1. A computer tossed a coin such that Prob(Heads) = 1/3 seven times using the sequence of random numbers 0.098678 0.682692 0.974711 0.682652 0.328018 0.666758 0.684487 What is the resulting sequence of Heads (H) and Tails (T)? 2. For each of the following population distributions, find the variance of the sample mean if the sample size is 20. (a) A continuous uniform distribution with mean 150 and variance 7500. (b) A continuous normal distribution with mean 100 and variance 42. (c) A discrete distribution such that (X values) x : 3 , 7 , 20 (probabilities) P(X=x): 1/4 , 1/6 , 7/12 3. For each of the populations given in question 2, find the expected value of the sample variance is the sample size is 20. 4. Match each Sample Stem Plot (vertical) below with a Population Stem Plot (horizontal), i.e., figure out the population from which each random sample was drawn.

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5. Assuming a population which is Normally distributed with variance 200, find the distance of the 75th percentile from the mean.
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