In: Math
1. Suppose that cans of creamed corn are produced in a normal distribution so that the average net content weight is 16.00 ounces per can, with a deviation of 0.12 ounces. What is the probability that a sample of 36 cans would have an average net content weight less than 15.91 ounces? Would this be an unusual or not unusal average weight for the sample?
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2. Suppose that cans of creamed corn are produced in a normal distribution so that the average net content weight is 16.00 ounces per can, with a deviation of 0.12 ounces. What is the third quintile for sample averages from samples of 36 cans? (nearest thousandth)
3. Suppose a 98% confidence interval is needed for the average weight of these cans of creamed corn is needed, because someone thinks the average is not the 16 ounces it was supposed to be. If this interval is to have a margin of error of 0.02 oz, how many data points will be needed for the new sample?
4. Suppose that cans of creamed corn were supposed to be produced so that the average net content weight is 16.00 ounces per can. However, a sample of 64 weights yields an average of 15. 953 ounces and a deviation of 0.0762 ounces. Use this sample information to create a 98% confidence interval for the population mean (round to the nearest thousandth of an ounce)