
Concept explainers
Comparing Variations. Consider the following data sets.
a. Find the mean, median and range for each of the two data sets.
b. Give the five-number summary and draw a boxplot for each of the two data sets.
c. Find the standard deviation for each of the two data sets.
d. Apply the range rule of thumb to estimate the standard deviation of each of the two data sets. How well does the rule work in each case? Briefly discuss why it does or does not work well.
e. Based on all your results compare and discuss the two data sets in terms of their center and variation.
15. The table below gives the cost of living index (COLI) for six East Coast counties and six Midwest counties (using the ACCRA 2013 index, where 100 represents the average cost of living for all participating cities with a population of more than 1.5 million).
East Coast Counties | Midwest Counties | ||
Miami-Dade FL | 104.8 | Edwards II | 96.5 |
Union NJ | 128.3 | Scott IN | 92.9 |
New York NY | 314.2 | Schuyler MO | 94.4 |
Richmond NY | 134.2 | Adair OK | 87.4 |
Philadelphia PA | 123.4 | McCulloch TX | 95.4 |
Arlington VA | 141.1 | Loving TX | 228.2 |

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Chapter 6 Solutions
EBK USING AND UNDERSTANDING MATHEMATICS
- 8.6.2 Consider the natural frequency of beams described in Exercise 8.2.8. Compute a 90% prediction interval on the diameter of the natural frequency of the next beam of this type that will be tested. Compare the length of the prediction interval with the length of the 90% CI on the population mean. 8.6.3 Consider the television tube brightness test described in Exercise 8.2.7. Compute a 99% prediction interval on the brightness of the next tube tested. Compare the length of the prediction interval with the length of the 99% CI on the population mean.arrow_forwardAnswer question S8 stepwisearrow_forwardAnswer questions 8.2.11 and 8.2.12 respectivelyarrow_forward
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- 8.4.4 The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed limits from 65 mph to 75 mph. How many residents does the department need to survey if it wants to be at least 99% confident that the sample proportion is within 0.05 of the true proportion? 8.4.5 The U.S. Postal Service (USPS) has used optical character recognition (OCR) since the mid-1960s. In 1983, USPS began deploying the technology to major post offices throughout the country (www.britannica.com). Suppose that in a random sample of 500 handwritten zip code digits, 466 were read correctly. a. Construct a 95% confidence interval for the true proportion of correct digits that can be automatically read. b. What sample size is needed to reduce the margin of error to 1%? c. How would the answer to part (b) change if you had to assume that the machine read only one-half of the digits correctly?arrow_forwardAnswer questions 8S7 and 8S14arrow_forwardAnswer questions 8.2.9 and 8.2.10 respectivelyarrow_forward
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