382 CHAPTER 6 Putting Statistics to Work 21. Pizza Deliveries. After recording the pizza delivery times for two different pizza shops, you conclude that one pizza shop has a mean delivery time of 45 minutes with a standard deviation of 3 minutes. The other shop has a mean delivery time of 42 minutes with a standard deviation of 20 minutes. Interpret these figures. If you liked the pizzas from both shops equally well, which one would you order from? Why? 16. The table below gives the average state and local sales tax rates in six coastal states and six noncoastal states. Coastal States Noncoastal States CA 8.13% DE 0% MA 6.25% IL 8.27% MD 6.00% KS 8.26% NH 0% 22. Airline Arrival Times. Two airlines have data on the arrival times of their flights. An arrival time of +2 minutes means the flight arrived 2 minutes early. An arrival time of -5 minutes means the flight arrived 5 minutes late. Skyview Airlines has a mean arrival time of 0.5 minute with a standard deviation of 9.6 minutes. SkyHigh Airlines has a mnean arrival time of -5 minutes with a standard deviation of 4.0 minutes. MN 7.18% NY 8.48% ND 6.28% WA 8.79% ОН 6.78% Source: Tax Foundation 17. Researchers at the Pennsylvania State University conducted experiments with poplar trees in which òne group of trees was given fertilizer and irrigation while the other group was. given no treatment. The weights in kilograms of trees in the two groups are'as follows: Explain the meaning of these figures and why they would affect your choice of airlines. 23. Portfolio Standard Deviation. The book Investments by Zvi Bodie, Alex Kane, and Alan Marcus claims that the returns for investment portfolios with a single stock have a standard deviation of 0.55, while the returns for portfolios with 32 stocks have a standard deviation of 0.325. Explain how the standard deviation measures the risk in these two types of portfolios. 24. Defect Rates. Two factories each produce 1000 computer chips per day. In Factory A, the mean number of defective chips per day is 3 with a standard deviation of 2.5. In Factory B, the mean number of defective chips per day is 4 with a standard deviation of 0.5. Use these figures to either defend or discredit the claim that Factory A has a more reliable manufacturing process. No treatment: 0.15 0.02 0.16 0.37 0.22 Treatment: 2.03 0.27 0.92 1.07 2.38 18. The following data sets give the approximate lengths of Beethoven's nine symphonies and Mahler's nine symphonies (in minutes). Beethoven: 28 36 50 33 30 40 38 26 68 Mahler: 52 85 94 50 72 72 80 90 80 25. Batting Standard Deviation. For the past 100 years, the méan batting average in the major leagues has remained fairly constant at about .260. However, the standard deviation of batting averages has decreased from about .049 in the 1870s to .031 at present. What does this tell us about the batting averages of players? Based on these facts, would you expect batting averages above .350 to be more or less common today than in the past? Explain. FURTHER APPLICATIONS Cnive five

382 CHAPTER 6 Putting Statistics to Work 21. Pizza Deliveries. After recording the pizza delivery times for two different pizza shops, you conclude that one pizza shop has a mean delivery time of 45 minutes with a standard deviation of 3 minutes. The other shop has a mean delivery time of 42 minutes with a standard deviation of 20 minutes. Interpret these figures. If you liked the pizzas from both shops equally well, which one would you order from? Why? 16. The table below gives the average state and local sales tax rates in six coastal states and six noncoastal states. Coastal States Noncoastal States CA 8.13% DE 0% MA 6.25% IL 8.27% MD 6.00% KS 8.26% NH 0% 22. Airline Arrival Times. Two airlines have data on the arrival times of their flights. An arrival time of +2 minutes means the flight arrived 2 minutes early. An arrival time of -5 minutes means the flight arrived 5 minutes late. Skyview Airlines has a mean arrival time of 0.5 minute with a standard deviation of 9.6 minutes. SkyHigh Airlines has a mnean arrival time of -5 minutes with a standard deviation of 4.0 minutes. MN 7.18% NY 8.48% ND 6.28% WA 8.79% ОН 6.78% Source: Tax Foundation 17. Researchers at the Pennsylvania State University conducted experiments with poplar trees in which òne group of trees was given fertilizer and irrigation while the other group was. given no treatment. The weights in kilograms of trees in the two groups are'as follows: Explain the meaning of these figures and why they would affect your choice of airlines. 23. Portfolio Standard Deviation. The book Investments by Zvi Bodie, Alex Kane, and Alan Marcus claims that the returns for investment portfolios with a single stock have a standard deviation of 0.55, while the returns for portfolios with 32 stocks have a standard deviation of 0.325. Explain how the standard deviation measures the risk in these two types of portfolios. 24. Defect Rates. Two factories each produce 1000 computer chips per day. In Factory A, the mean number of defective chips per day is 3 with a standard deviation of 2.5. In Factory B, the mean number of defective chips per day is 4 with a standard deviation of 0.5. Use these figures to either defend or discredit the claim that Factory A has a more reliable manufacturing process. No treatment: 0.15 0.02 0.16 0.37 0.22 Treatment: 2.03 0.27 0.92 1.07 2.38 18. The following data sets give the approximate lengths of Beethoven's nine symphonies and Mahler's nine symphonies (in minutes). Beethoven: 28 36 50 33 30 40 38 26 68 Mahler: 52 85 94 50 72 72 80 90 80 25. Batting Standard Deviation. For the past 100 years, the méan batting average in the major leagues has remained fairly constant at about .260. However, the standard deviation of batting averages has decreased from about .049 in the 1870s to .031 at present. What does this tell us about the batting averages of players? Based on these facts, would you expect batting averages above .350 to be more or less common today than in the past? Explain. FURTHER APPLICATIONS Cnive five

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Description: I have attached an image. In this image i have circled a question. The question is Give Five Numbers summary? I do know how to get low value, median, and high value. But I don't know how to get Lower and Higher Quartile. Could you solve this questio

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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