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Complete Parts A and B
Part A
- Why is a z score a standard score? Why can standard scores be used to compare scores from different distributions?
- For the following set of scores, fill in the cells. The mean is 74.13 and the standard deviation is 9.98.
|
Raw score |
Z score |
|
68.0 |
? |
|
? |
–1.6 |
|
82.0 |
? |
|
? |
1.8 |
|
69.0 |
? |
|
? |
–0.5 |
|
85.0 |
? |
|
? |
1.7 |
|
72.0 |
? |
- Questions 3a through 3d are based on a distribution of scores with and the standard deviation = 6.38. Draw a small picture to help you see what is required 3a. What is the probability of a score falling between a raw score of 70 and 80? 3b. What is the probability of a score falling above a raw score of 80? 3c. What is the probability of a score falling between a raw score of 81 and 83? 3d. What is the probability of a score falling below a raw score of 63
Part B
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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