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Sampling Distributions 1. An automatic machine used to ill cans of soup has a mean flling weight of 16 ounces and a standard deviation of 0.5 ounces. a. What is probability of obtaining a sample of 49 cans with a mean larger than 16.1 b. Find the probability that the sample mean will be within 005 ounces of the population ounces? mean, 16 ounces. 2. Family income distribution in St. Paul, Minnesota, is skewed to the right. The latest census reveals mean family income of $24,000 with a standard deviation of $4,000. In a simple random sample of 75 families, find the probability that the sample mean family income will differ from St. Pauls mean income by more than $500. 3. Seventeen percent of the people who file tax returns in the state of Georgia have gross taxable incomes of more than $50,000. If a sample of 400 Georgia returns is randomly selected, what is the probability that more than 20% of these people will have gross taxable incomes that exceed $50,000? 4. Last year 75% of Hart Department random sample of 200 credit card purchases, what is the probability that purchases less than $15 Stores credit card purchases were for less than $150. In a amount to: a. Between 70% and 80%? b. More than 80%? C. More than 20%?
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