1. Cities must find better ways to dispose of solid waste. According to the Environmental Protection Agency, the composition of the 217 million tons of solid municipal waste created in 1997 was
|
Paper and paperboard
|
38.8%
|
|
Yard waste
|
12.7%
|
|
Food waste
|
10.3%
|
|
Plastics
|
9.8%
|
|
Metals
|
7.7%
|
|
Other materials
|
|
Determine the percentage of other materials in the solid waste. This category includes glass, wood, rubber, and so on.
2. A major West Coast power company surveyed 50 customers who were asked to respond to the statement, ″People should rely mainly on themselves to solve problems caused by power outages″ with one of the following responses.
1. Definitely agree.
2. Somewhat agree.
3. Somewhat disagree.
4. Definitely disagree.
The responses are as follows:
|
4
|
4
|
3
|
4
|
2
|
3
|
4
|
2
|
1
|
1
|
2
|
2
|
2
|
2
|
1
|
3
|
4
|
|
1
|
1
|
4
|
1
|
2
|
3
|
4
|
2
|
4
|
3
|
3
|
1
|
1
|
1
|
2
|
1
|
1
|
|
1
|
4
|
4
|
4
|
4
|
1
|
2
|
2
|
2
|
4
|
4
|
4
|
1
|
3
|
4
|
2
|
|
Construct a frequency table.
3. A sample of 50 departing airline passengers at the main check-in counter produced the following number of bags checked through to final destinations.
2 1 2 2 1 2 1 2 3 0 1 0
1 1 0 1 3 0 1 2 1 1 1 2
1 2 2 1 2 0 0 2 2 1 1 1
1 1 1 1 2 3 1 3 0 1 2 1
1 3
What proportion of passengers who check in at the main counter fail to check any bags?
4. A zoologist collected wild lizards in the Southwestern United States. Thirty lizards from the genus Phrynosoma were placed on a treadmill and their speed measured. The recorded speed (meters/second) is the fastest time to run a half meter. (Courtesy of K. Bonine.)
1.28 1.38 1.24 2.47 1.94 2.52 2.67 1.38
1.56 2.66 2.17 1.57 2.10 2.54 1.63 2.11
2.57 1.72 0.76 1.01 1.78 0.50 1.49 1.57
1.04 1.92 1.55 1.78 1.70 1.20
Construct a frequency distribution using the class intervals 0.45-0.90, 0.90-1.35, and so on, with the endpoint convention that the left endpoint is included and the right endpoint is excluded. Calculate the relative frequencies.
Find the relative frequency for the interval 0.90-1.35. Round to three decimal places.
5. The following is a stem-and-leaf display with two-digit leaves. (The leading leaf digit = 10.0.)
|
1
|
|
|
|
|
|
|
2
|
40
|
69
|
93
|
|
|
|
3
|
14
|
42
|
71
|
82
|
97
|
|
4
|
05
|
20
|
43
|
90
|
|
|
5
|
04
|
68
|
|
|
|
|
6
|
13
|
|
|
|
|
List the corresponding measurements.
Choose the correct answer.
- 240 269 293 314 342 371 382 397 405 420 443 490 504 568 613
- 269 240 293 314 342 371 382 397 405 420 443 490 504 568 613
- 4 5 13 14 20 43 40 42 69 68 71 82 90 93 97
- 45 54 240 269 293 314 342 371 382 397 420 443 490 568 613
- 4 5 14 13 20 40 43 42 69 68 71 82 90 93 97
6. Calculate the mean and median for each of the following data sets. Round your answers to first decimal digit.
9 26 1 17 14 38
7. Old Faithful, the most famous geyser in Yellowstone Park, had the following durations (measured in seconds) in six consecutive eruptions:
240 248 110 269 120 254
Find the sample median.
8. Old Faithful, the most famous geyser in Yellowstone Park, had the following durations (measured in seconds) in six consecutive eruptions:
239 245 111 271 121 257
Find the sample mean.
Round the answer to one decimal place.
9. The city of Madison regularly checks the water quality at swimming beaches located on area lakes. The concentration of fecal coliforms, in number of colony forming units (CFU) per 100 ml of water, was measured on fifteen days during the summer at one beach.
With reference to the given data:
Find the sample median.
10. The city of Madison regularly checks the water quality at swimming beaches located on area lakes. The concentration of fecal coliforms, in number of colony forming units (CFU) per 100 ml of water, was measured on fifteen days during the summer at one beach.
With reference to the given data, find the sample 90th percentile.
11. On opening day one season, 10 major league baseball games were played and they lasted the following numbers of minutes.
167 211 187 176 170 199 198 218 145 232
Find the sample mean.
12. On opening day one season, 10 major league baseball games were played and they lasted the following numbers of minutes.
167 211 187 176 170 180 198 218 145 232
Find the sample variance. Round your answer to 2 decimal places.
13. On opening day one season, 10 major league baseball games were played and they lasted the following numbers of minutes.
167 211 187 176 170 185 198 218 145 232
Find the sample standard deviation.
Round your answer to 2 decimal places.
14. The 50 measurements of acid rain in Wisconsin, whose histogram is given on the cover page of the chapter, are
|
3.58
|
3.80
|
4.01
|
4.01
|
4.05
|
4.05
|
|
4.12
|
4.18
|
4.20
|
4.21
|
4.27
|
4.28
|
|
4.32
|
4.32
|
4.33
|
4.35
|
4.35
|
4.41
|
|
4.42
|
4.45
|
4.45
|
4.50
|
4.50
|
4.50
|
|
4.50
|
4.51
|
4.52
|
4.52
|
4.52
|
4.57
|
|
4.58
|
4.60
|
4.61
|
4.61
|
4.62
|
4.62
|
|
4.65
|
4.70
|
4.70
|
4.70
|
4.70
|
4.72
|
|
4.78
|
4.78
|
4.80
|
5.07
|
5.20
|
5.26
|
|
5.41
|
5.48
|
|
|
|
|
Calculate the median and quartiles.