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Chapter 2: Q 57. (page 140)
Watch the salt! Refer to Exercise About what percent of the meals
ordered contained between mg and mg of sodium?
Around of the meals ordered contained between mg and mg of sodium.
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Brush your teeth The amount of time Ricardo spends brushing his teeth follows a Normal distribution with unknown mean and standard deviation. Ricardo spends less than one minute brushing his teeth about of the time. He spends more than two minutes brushing his teeth of the time. Use this information to determine the mean and standard deviation of this distribution.
Travel time (1.2) The dot-plot displays data on students鈥� responses to the question 鈥淗ow long does it usually take you to travel to school?鈥� Describe the distribution.
Mean and median The figure displays two density curves that model
different distributions of quantitative data. Identify the location of the mean and median by letter for each graph. Justify your answers.
At some fast-food restaurants, customers who want a lid for their drinks get them from a large stack near the straws, napkins, and condiments. The lids are made with a small amount of flexibility so they can be stretched across the mouth of the cup and then snugly secured. When lids are too small or too large, customers can get very frustrated, especially if they end up spilling their drinks. At one particular restaurant, large drink cups require lids with a 鈥渄iameter鈥� of between and inches. The restaurant鈥檚 lid supplier claims that the diameter of its large lids follows a Normal distribution with a mean of inches and a standard deviation of inches. Assume that the supplier鈥檚 claim is true.
Put a lid on it! The supplier is considering two changes to reduce to the percentage of its large-cup lids that are too small. One strategy is to adjust the mean diameter of its lids. Another option is to alter the production process, thereby decreasing the standard deviation of the lid diameters.
a. If the standard deviation remains at inch, at what value should the
supplier set the mean diameter of its large-cup lids so that only is too small to fit?
b. If the mean diameter stays at inches, what value of the standard
deviation will result in only of lids that are too small to fit?
c. Which of the two options in parts (a) and (b) do you think is preferable? Justify your answer. (Be sure to consider the effect of these changes on the percent of lids that are too large to fit.)
Teacher raises A school system employs teachers at salaries between and Page Number: The teachers鈥� union and school board are negotiating the form of next year鈥檚 increase in the salary schedule. Suppose that every teacher is given a raise. What effect will these raises have on each of the following characteristics of the resulting distribution of salary?
a. Shape
b. Mean and median
c. Standard deviation and interquartile range (IQR)
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