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Chapter 3: Q5 (page 127)
Sleep Outlier If the sleep time of 0 hours is included with the sample data given in Exercise 1, is it an outlier? Why or why not?
Yes, the zero-hour value is an outlier in the dataset.
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In Exercises 37鈥�40, refer to the frequency distribution in the given exercise and find the standard deviation by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviations to these standard deviations obtained by using Formula 3-4 with the original list of data values: (Exercise 37) 11.5 years; (Exercise 38) 8.9 years; (Exercise 39) 59.5; (Exercise 40) 65.4.
Standard deviation for frequency distribution
Age (yr) of Best Actress When Oscar Was Won | Frequency |
20-29 | 29 |
30-39 | 34 |
40-49 | 14 |
50-59 | 3 |
60-69 | 5 |
70-79 | 1 |
80-89 | 1 |
In Exercises 17鈥�20, use the following cell phone airport data speeds (Mbps) from Sprint. Find the percentile corresponding to the given data speed.
0.2 0.3 0.3 0.3 0.3 0.3 0.3 0.4 0.4 0.4 0.5 0.5 0.5 0.5 0.5 0.6 0.6 0.7 0.8 1.0 1.1 1.1 1.2 1.2 1.6 1.6 2.1 2.1 2.3 2.4 2.5 2.7 2.7 2.7 3.2 3.4 3.6 3.8 4.0 4.0 5.0 5.6 8.2 9.6 10.6 13.0 14.1 15.1 15.2 30.4
2.4 Mbps
In Exercises 5鈥�8, express all z scores with two decimal places.
PHL Data Speeds Repeat the preceding exercise using the Verizon data speed of 0.8 Mbps at Philadelphia International Airport (PHL).
Quadratic Mean The quadratic mean (or root mean square, or R.M.S.) is used in physical applications, such as power distribution systems. The quadratic mean of a set of values is obtained by squaring each value, adding those squares, dividing the sum by the number of values n, and then taking the square root of that result, as indicated below:
Find the R.M.S. of these voltages measured from household current: 0, 60, 110, -110, -60, 0.
How does the result compare to the mean?
In Exercises 21鈥�24, find the coefficient of variation for each of the two samples; then compare the variation. (The same data were used in Section 3-1.) 21.
Pulse Rates Listed below are pulse rates (beats per minute) from samples of adult males and females (from Data Set 1 鈥淏ody Data鈥� in Appendix B). Does there appear to be a difference?
Male: 86 72 64 72 72 54 66 56 80 72 64 64 96 58 66
Female: 64 84 82 70 74 86 90 88 90 90 94 68 90 82 80
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