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Chapter 3: Q27 (page 126)
In Exercises 21鈥�28, use the same list of Sprint airport data speeds (Mbps) given for Exercises 17鈥�20. Find the indicated percentile or quartile.
P25
The data speed corresponding to the 25th percentile is 0.5 Mbps.
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Chebyshev鈥檚 Theorem Based on Data Set 1 鈥淏ody Data鈥� in Appendix B, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4. (All units are 1000 cells>L.) Using Chebyshev鈥檚 theorem, what do we know about the percentage of women with platelet counts that are within 3 standard deviations of the mean? What are the minimum and maximum platelet counts that are within 3 standard deviations of the mean?
Weighted Mean A student of the author earned grades of 63, 91, 88, 84, and 79 on her five regular statistics tests. She earned grades of 86 on the final exam and 90 on her class projects. Her combined homework grade was 70. The five regular tests count for 60% of the final grade, the final exam counts for 10%, the project counts for 15%, and homework counts for 15%. What is her weighted mean grade? What letter grade did she earn (A, B, C, D, or F)? Assume that a
mean of 90 or above is an A, a mean of 80 to 89 is a B, and so on
In Exercises 5鈥�20, find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as 鈥渕inutes鈥�) in your results. (The same data were used in Section 3-1, where we found measures of center. Here, we find measures of variation.) Then answer the given questions.
Foot Lengths Listed below are foot lengths in inches of randomly selected Army women measured in the 1988 Anthropometric Survey (ANSUR). Are the statistics representative of the current population of all Army women?
10.4 9.3 9.1 9.3 10.0 9.4 8.6 9.8 9.9 9.1 9.1
In Exercises 29鈥�32, find the mean of the data summarized in the frequency distribution. Also, compare the computed means to the actual means obtained by using the original list of data values, which are as follows: (Exercise 29) 36.2 years; (Exercise 30) 44.1 years; (Exercise 31) 224.3; (Exercise 32) 255.1..
Age (year) of Best Actor when Oscar was won | Frequency |
20鈥�29 | 1 |
30鈥�39 | 28 |
40鈥�49 | 36 |
50鈥�59 | 15 |
60鈥�69 | 6 |
70鈥�79 | 1 |
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).
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