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Chapter 2: Q 83. (page 143)

Refrigerators Refer to Exercise 75

a. Use your calculator to make a Normal probability plot of the data. Sketch this graph on your paper.

b. What does the graph in part (a) imply about whether the distribution of refrigerator capacity is approximately Normal? Explain.

Short Answer

Expert verified

Part (a) The graph is

Part (b) Yes.

Step by step solution

01

Part (a) Step 1: Given information

The data set is:

12.913.714.114.214.514.514.614.715.115.2
15.315.315.315.315.515.615.615.81616
16.216.216.316.416.516.616.616.61717
17.217.417.417.918.4




02

Part (a) Step 2: Explanation

The normal probabilities plot can be constructed as

03

Part (b) Step 1: Explanation

All of the points in the above plot are within the boundary, implying that the distribution is essentially normally approximated. As a result, the data can be said to have been collected from a regularly distributed population.

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Most popular questions from this chapter

The following Normal probability plot shows the distribution of points scored for the 551 players in a single NBA season.

If the distribution of points was displayed in a histogram, what would be the best

description of the histogram’s shape?

a. Approximately Normal

b. Symmetric but not approximately Normal

c. Skewed left

d. Skewed right

e. Cannot be determined

Jorge’s score on Exam 1in his statistics class was at the 64thpercentile of the scores for all students. His score falls

a. between the minimum and the first quartile.

b. between the first quartile and the median.

c. between the median and the third quartile.

d. between the third quartile and the maximum.

e. at the mean score for all students.

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 “diameter” of between 3.95 and 4.05 inches. The restaurant’s lid supplier claims that the diameter of its large lids follows a Normal distribution with a mean of 3.98 inches and a standard deviation of 0.02 inches. Assume that the supplier’s claim is true.

Put a lid on it! The supplier is considering two changes to reduce to 1% 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 σ=0.02 inch, at what value should the

supplier set the mean diameter of its large-cup lids so that only 1% is too small to fit?

b. If the mean diameter stays at μ=3.98 inches, what value of the standard

deviation will result in only 1% 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.)σ=0.02

Taxi! In 2016, taxicabs in Los Angeles charged an initial fee of \(2.85 plus \)2.70 per mile. In equation form, Fare=2.85+2.7(miles). At the end of a

month, a businessman collects all his taxicab receipts and calculates some numerical

summaries. The mean fare he paid was \(15.45with a standard deviation of \)10.20What are the mean and standard deviation of the lengths of his cab rides in miles?

Batter up! Refer to Exercise 48Use the 68–95–99.7rule to answer the following questions.

a. About what percent of Major League Baseball players with 100 plate appearances had batting averages of 0.363or higher? Show your method clearly.

b. A player with a batting average of 0.227 is at about what percentile in this distribution? Justify your answer.
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