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Nutritional information on a packaged food product shows the product contains 12 grams of fat. A random sample of 5 such packages gave readings of grams of fat as {12.3, 11.8, 13.2, 12.2, 13.5}. Suppose that the grams of fat have a normal distribution and form 90%, 95%, and 99% confidence intervals for the mean grams of fat. Based on this data, can we say that the labeling on the package is misleading?
Back of the book says answers are (11.92, 13.28) , (11.71, 13.49) , and (11.13, 14.07) respectively.
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