3) What proportion of scores are between 18 and 25, based on the following sample: 18 23 22 22 13 28 15 18 21 14 12 17

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**Assignment Details: Descriptive Statistics-CRN#13661-202410**

- **Due:** 10/31
- **Discussion:** 11/1
- **Close:** 11/3

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1) A distribution with \( \mu = 15 \) and \( s = 3 \) is being standardized so that the new mean and standard deviation will be \( \mu = 25 \) and \( s = 5 \). When the distribution is standardized, what value will be obtained for a score of \( X = 8 \) from the original distribution?

2) A population of scores has \( \mu = 24 \). In this population, a score of \( X = 14 \) corresponds to \( z = -1.35 \). What is the population standard deviation?

3) What proportion of scores are between 18 and 25, based on the following sample:

| 18 | 13 | 21 |
|----|----|----|
| 23 | 28 | 14 |
| 22 | 15 | 12 |
| 22 | 18 | 17 |

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**Instructions:** View the discussion for collaborative problem-solving and clarifications.
Transcribed Image Text:**Assignment Details: Descriptive Statistics-CRN#13661-202410** - **Due:** 10/31 - **Discussion:** 11/1 - **Close:** 11/3 --- 1) A distribution with \( \mu = 15 \) and \( s = 3 \) is being standardized so that the new mean and standard deviation will be \( \mu = 25 \) and \( s = 5 \). When the distribution is standardized, what value will be obtained for a score of \( X = 8 \) from the original distribution? 2) A population of scores has \( \mu = 24 \). In this population, a score of \( X = 14 \) corresponds to \( z = -1.35 \). What is the population standard deviation? 3) What proportion of scores are between 18 and 25, based on the following sample: | 18 | 13 | 21 | |----|----|----| | 23 | 28 | 14 | | 22 | 15 | 12 | | 22 | 18 | 17 | --- **Instructions:** View the discussion for collaborative problem-solving and clarifications.
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