1.   Suppose that cans of creamed corn are producedin a normal distribution so that the average net content weight is16.00 ounces per can, with a deviation of 0.12 ounces. What is theprobability that a sample of 36 cans would have an average netcontent weight less than 15.91 ounces? Would this be an unusual ornot unusal average weight for the sample?

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2.   Suppose that cans of creamed corn are producedin a normal distribution so that the average net content weight is16.00 ounces per can, with a deviation of 0.12 ounces. What is thethird quintile for sample averages from  samples of 36cans? (nearest thousandth)

  

3.   Suppose a 98% confidence interval is needed forthe average weight of these cans of creamed corn is needed, becausesomeone thinks the average is not the 16 ounces it was supposed tobe. If this interval is to have a margin of errorof  0.02 oz, how many data points will be needed for thenew sample?

4.   Suppose that cans of creamed corn were supposedto be  produced so that the average net content weight is16.00 ounces per can. However, a sample of 64 weights yields anaverage of 15. 953 ounces and a deviation of 0.0762 ounces. Usethis sample information to create a 98% confidence interval for thepopulation mean (round to the nearest thousandth of an ounce)