1) A distribution with μ = 15 and s = 3 is being standardized so that the new mean and standard deviation will be µ = 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 μ = 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 23 22 22 13 28 15 18 21 14 12 17

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**Assignment Details**

**Course:** Descriptive Statistics-CRN#13661-202410

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

---

1) A distribution with μ = 15 and s = 3 is being standardized so that the new mean and standard deviation will be μ = 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 μ = 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 |
```

--- 

**Explanation:** The table provided contains a sample of scores. Your task is to calculate the proportion of scores that fall between 18 and 25.
Transcribed Image Text:**Assignment Details** **Course:** Descriptive Statistics-CRN#13661-202410 - **Due:** 10/31 - **Discussion:** 11/1 - **Close:** 11/3 --- 1) A distribution with μ = 15 and s = 3 is being standardized so that the new mean and standard deviation will be μ = 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 μ = 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 | ``` --- **Explanation:** The table provided contains a sample of scores. Your task is to calculate the proportion of scores that fall between 18 and 25.
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