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1. Let X~Bin(50, 0.64). For samples of size 36, calculate P(31.28 < X bar < 33.36). The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. If we assume that this is the population proportion, and a simple random sample of size 800 is taken, then calculate the following. 2. The expected value of p bar, the sample proportion of households that spend more than $100 per week on groceries. 3. The standard deviation of p bar, the sample proportion of households that spend more than $100 per week on groceries. 4. What is the probability that the sample proportion will be within 0.02 units of the population proportion? 5. Repeat question 4 if a sample of 1200 households is taken.
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