Assignment: People’s Hated Statistics.
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Complete Parts A, B, and C below.
Part A
Some questions in Part A require that you access data from Statistics for People Who (Think They) Hate Statistics. This data is available on the student website under the Student Text Resources link.
Why is a z score a standard score? Why can standard scores be used to compare scores from different distributions?
| Raw score | Z score |
| 68.0 | ? |
| ? | –1.6 |
| 82.0 | ? |
| ? | 1.8 |
| 69.0 | ? |
| ? | –0.5 |
| 85.0 | ? |
| ? | 1.7 |
| 72.0 | ? |
| Math | |||
| Class mean | 81 | ||
| Class standard deviation | 2 | ||
| Reading | |||
| Class mean | 87 | ||
| Class standard deviation | 10 | ||
| Raw scores | |||
| Math score | Reading score | Average | |
| Noah | 85 | 88 | 86.5 |
| Talya | 87 | 81 | 84 |
| Z-scores | |||
| Math score | Reading score | Average | |
| Noah | |||
| Talya |
The data for Exercise 8 is available in the data file named Lesson 21 Exercise File 1.
Complete the questions below. Be specific and provide examples when relevant.
Cite any sources consistent with APA guidelines.
| Question | Answer | |
| What is the relationship between reliability and validity? How can a test be reliable but not valid? Can a test be valid but not reliable? Why or why not? | ||
| How does understanding probability help you understand statistics? | ||
| How could you use standard scores and the standard distribution to compare the reading scores of two students receiving special reading resource help and one student in a standard classroom who does not get special help? | ||
| In a standard normal distribution: What does a z score of 1 represent? What percent of cases fall between the mean and one standard deviation above the mean? What percent fall between the mean and –1 to +1 standard deviations from the mean? What percent of scores will fall between –3 and +3 standard deviations under the normal curve? | ||
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