Chapter 1: Q6CQQ (page 1)
Statistic, Parameter In an AARP survey of 1019 randomly selected adults, the respondents were asked to identify the number of credit cards they have, and 26% of them said they had no credit cards. Is the value of 26% a statistic or a parameter?
26% is a statistic.
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Statistical Significance and Practical Significance. In Exercises 13–16, determine whether the results appear to have statistical significance, and also determine whether the results appear to have practical significance.
IQ Scores Most people have IQ scores between 70 and 130. For $39.99, you can purchase a PC or Mac program from HighIQPro that is claimed to increase your IQ score by 10 to 20 points. The program claims to be “the only proven IQ increasing software in the brain training market,” but the author of your text could find no data supporting that claim, so let’s suppose that these results were obtained: In a study of 12 subjects using the program, the average increase in IQ score is 3 IQ points. There is a 25% chance of getting such results if the program has no effect.
Identify whether the given value is a statistic or a parameter.
Periodic table The average (mean) atomic weight of all elements in the periodic table is 134.355 unified atomic mass units.
Correlation. One study showed that for a recent period of 11 years, there was a strong correlation (or association) between the numbers of people who drowned in swimming pools and the amounts of power generated by nuclear power plants (based on data from the Centers for Disease Control and Prevention and the Department of Energy). Does this imply that increasing power from nuclear power plants is the cause of more deaths in swimming pools? Why or why not?
In Exercises 21–24, refer to the data in the table below. The entries are white blood cell counts (1000 cells,ML) and red blood cell counts (million cells,ML) from male subjects examined as part of a large health study conducted by the National Center for Health Statistics. The data are matched, so that the first subject has a white blood cell count of 8.7 and a red blood cell count of 4.91, and so on.
Subject
| 1 | 2 | 3 | 4 | 5 | |
| White | 8.7 | 5.9 | 7.3 | 6.2 | 5.9 |
| Red | 4.91 | 5.59 | 4.44 | 4.8 | 5.17 |
Conclusion: If we analyze the sample data and conclude that there is a correlation between white blood cell counts and red blood cell counts, does it follow that higher white blood cell counts are the cause of higher red blood cell counts?
Statistical Significance and Practical Significance. In Exercises 13–16, determine whether the results appear to have statistical significance, and also determine whether the results appear to have practical significance.
IQ Scores Most people have IQ scores between 70 and 130. For $39.99, you can purchase a PC or Mac program from HighIQPro that is claimed to increase your IQ score by 10 to 20 points. The program claims to be “the only proven IQ increasing software in the brain training market,” but the author of your text could find no data supporting that claim, so let’s suppose that these results were obtained: In a study of 12 subjects using the program, the average increase in IQ score is 3 IQ points. There is a 25% chance of getting such results if the program has no effect.
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