Chapter 2

# Chapter 2 - Chapter 2 The Normal Distributions Use the...

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Chapter 2: The Normal Distributions Use the following to answer questions 1-3: 1. For this density curve, which of the following is true? A) It is symmetric. C) The median is 1. B) The total area under the curve is 1. D) All of the above. Ans: D Section: 2.1 Density Curves and The Normal Distributions 2. For this density curve, what percentage of the observations lies above 1.5? 3. For the density curve shown on the previous page, what percentage of the observations lies between 0.5 and 1.2? Page 21

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Chapter 2: The Normal Distributions 4. For the density curve displayed below, the mean is 5. A normal density curve has which of the following properties? A) It is symmetric. B) It has a peak centered above its mean. C) The spread of the curve is proportional to the standard deviation. D) All of the above. Ans: D Section: 2.1 Density Curves and The Normal Distributions 6. Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing process is such, however, that there is variability in the items produced and they do not all weigh exactly 90 grams. The distribution of weights can be approximated by a normal distribution with mean 90 grams and a standard deviation of 1 gram. Using the 68–95–99.7 rule, what percentage of the items will either weigh less than 87 grams or more than 93 grams? Page 22
Chapter 2: The Normal Distributions 7. For the density curve below, which of the following is true?

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