Elementary Statistics
12th Edition
ISBN: 9780321837936
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 5, Problem 5CRE
Random Digits The digits 0, 1, 2,3,4, 5,6,7, 8, and 9 are randomly selected for applications in including the selection of lottery numbers and the selection of telephone numbers to be called as part of a survey. In the following tables, the table at the left summarizes actual results from 100 randomly selected digits, and the table at the right summarizes the
| Digit | Frequency |
| 0 | 9 |
| 1 | 7 |
| 2 | 12 |
| 3 | 10 |
| 4 | 10 |
| 5 | 11 |
| 6 | 8 |
| 7 | 8 |
| 8 | 14 |
| 9 | 11 |
| Digit x | P(x) |
| 0 | 0.1 |
| 1 | 0.1 |
| 2 | 0.1 |
| 3 | 0.1 |
| 4 | 0.1 |
| 5 | 0.1 |
| 6 | 0.1 |
| 7 | 0.1 |
| 8 | 0.1 |
| 9 | 0.1 |
- a. What is the table at the left called? b. What is the table at the right called?
- b. Use the table at the left to find the
mean . Is the result a statistic or a parameter? - c. Use the table at the right to find the mean. Is the result a statistic or a parameter?
- d. If you were to randomly generate 1000 such digits, would you expect the mean of these 1000 digits to be dose to the result from part (c) or part (d)? Why?
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One estimate of the proportion of children with autism in the United States is 1 in 100 (Source: http://www.cbsnews.com/stories/2009/10/05/health/main5363192.shtml). Suppose you are interested in the rate of autism among current school-aged children in Utah. You collect a sample of 400 children between the ages of 5 and 18 and find that three have had a previous diagnosis of an autism disorder. You plan to calculate a 95% confidence interval estimator of the proportion of school-aged children in Utah who have ever had a diagnosis of an autism disorder.
Which of the following is the most likely reason you would use a Wilson estimator to calculate the confidence interval estimator?
It is uncomfortable to define having been diagnosed with autism as a success.
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Chapter 5 Solutions
Elementary Statistics
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