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Chapter 2: Q92. (page 116)
In terms of percentiles, define QL, QM and QU
The QL is 25th percentile.
The QM is 50th percentile.
The QU is 75th percentile.
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Nuclear power plants.According to the Nuclear Energy Institute (NEI), 62 nuclear power plants were operating in the United States in 2015. The table at top of the next column lists the 30 states that operate nuclear power
plants, the number of plants in each state, and whether the state has passed legislation supporting nuclear energy expansion (regulated) or not (deregulated).
a.Find the mean, median, and mode of the number of power plants per state. Interpret these values.
b.Repeat part afor the regulated states only.
c.Repeat part afor the deregulated states only.
d.Compare the results, parts band c.What inference can you make about the impact that state regulation has on the number of nuclear power plants?
e.Eliminate the state with the largest number of power plants from the data set and repeat part a.What effect does dropping this measurement have on the measures of central tendency found in part a?
f.Arrange the 30 values in the table from lowest to highest. Next, eliminate the lowest two values and the highest two values from the data set and find the mean of the remaining data values. The result is called a 10% trimmed meanbecause it is calculated after removing the highest 10% and the lowest 10% of the data values. What advantages does a trimmed mean have over the regular arithmetic mean?
State | Status | Number of Power Plants |
Alabama | Regulated | 2 |
Arizona | Regulated | 1 |
Arkansas | Regulated | 1 |
California | Regulated | 1 |
Connecticut | Deregulated | 1 |
Florida | Regulated | 3 |
Georgia | Regulated | 2 |
Illinois | Deregulated | 6 |
Iowa | Deregulated | 1 |
Kansas | Regulated | 1 |
Louisiana | Regulated | 2 |
Maryland | Deregulated | 1 |
Massachusetts | Deregulated | 1 |
Michigan | Deregulated | 3 |
Minnesota | Regulated | 2 |
Mississippi | Regulated | 1 |
Missouri | Regulated | 1 |
Nebraska | Regulated | 2 |
New Hampshire | Deregulated | 1 |
New Jersey | Deregulated | 3 |
New York | Deregulated | 4 |
North Carolina | Regulated | 3 |
Ohio | Deregulated | 2 |
Pennsylvania | Deregulated | 5 |
South Carolina | Regulated | 4 |
Tennessee | Regulated | 2 |
Texas | Deregulated | 2 |
Virginia | Regulated | 2 |
Washington | Regulated | 1 |
Wisconsin | Deregulated | 1 |
Question: Construct a scatterplot for the data in the following table.
Variable 1: 5 1 1.5 2 2.5 3 3.5 4 4.5 5 Variable 2: 2 1 3 4 6 10 9 12 17 17 |
Time in bankruptcy.Refer to the Financial Management(Spring 1995) study of 49 firms filing for prepackagedbankruptcies, Exercise 2.32 (p. 86). Recall that three typesof 鈥減repack鈥� firms exist: (1) those who hold no prefilingvote, (2) those who vote their preference for a joint solution;and (3) those who vote their preference for a prepack.
a.Construct a box plot for the time in bankruptcy (months) for each type of firm.
b.Find the median bankruptcy times for the three types.
c.How do the variabilities of the bankruptcy times compare for the three types?
d.The standard deviations of the bankruptcy times are 2.47 for 鈥渘one,鈥� 1.72 for 鈥渏oint,鈥� and 0.96 for 鈥減repack.鈥� Do the standard deviations agree with the interquartile ranges concerning the comparison of the variabilities of the bankruptcy times?
e.Is there evidence of outliers in any of the three distributions?
Explain why we generally prefer the standard deviation to the range as a measure of variability for quantitative data.
Calculate the range, variance, and standard deviation for the following samples:
a.4, 2, 1, 0, 1
b.1, 6, 2, 2, 3, 0, 3
c.8, -2, 1, 3, 5, 4, 4, 1, 3, 3
d.0, 2, 0, 0, -1, 1, -2, 1, 0, -1, 1, -1, 0, -3,-2, -1, 0, 1
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