Assume that all grade-point averages are to be standardized on a scale between 0 and 4. How many grade-point averages must be obtained so that the sample mean range 4-0 = 1. 4 is within 0.014 of the population mean? Assume that a 95% confidence level is desired. If using the range rule of thumb, o can be estimated as Does the sample size seem practical? The required sample size is (Round up to the nearest whole number as needed.) Does the sample size seem practical? O A. Yes, because the required sample size is a fairly large number. O B. Yes, because the required sample size is a fairly small number. O C. No, because the required sample size is a fairly large number. O D. No, because the required sample size is a fairly small number. C... =

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Text Transcription with Explanation for Educational Website**

---

**Problem Statement:**

Assume that all grade-point averages are to be standardized on a scale between 0 and 4. How many grade-point averages must be obtained so that the sample mean is within 0.014 of the population mean? Assume that a 95% confidence level is desired. If using the range rule of thumb, \( \sigma \) can be estimated as:

\[
\sigma = \frac{\text{range}}{4} = \frac{4 - 0}{4} = 1.
\]

Does the sample size seem practical?

---

**Solution:**

1. **The required sample size is** \([ \_ \_ \_ \]).  
   (Round up to the nearest whole number as needed.)

2. **Does the sample size seem practical?**  

**Options:**

- A. Yes, because the required sample size is a fairly large number.
- B. Yes, because the required sample size is a fairly small number.
- C. No, because the required sample size is a fairly large number.
- D. No, because the required sample size is a fairly small number.

---

**Graph/Diagram Explanation:**

There are no graphs or diagrams included in the text. The problem is purely textual and involves statistical estimation based on given assumptions. 

---

This text is designed to help students apply concepts of statistical estimation in practical scenarios, particularly focusing on determining sample sizes for confidence intervals.
Transcribed Image Text:**Text Transcription with Explanation for Educational Website** --- **Problem Statement:** Assume that all grade-point averages are to be standardized on a scale between 0 and 4. How many grade-point averages must be obtained so that the sample mean is within 0.014 of the population mean? Assume that a 95% confidence level is desired. If using the range rule of thumb, \( \sigma \) can be estimated as: \[ \sigma = \frac{\text{range}}{4} = \frac{4 - 0}{4} = 1. \] Does the sample size seem practical? --- **Solution:** 1. **The required sample size is** \([ \_ \_ \_ \]). (Round up to the nearest whole number as needed.) 2. **Does the sample size seem practical?** **Options:** - A. Yes, because the required sample size is a fairly large number. - B. Yes, because the required sample size is a fairly small number. - C. No, because the required sample size is a fairly large number. - D. No, because the required sample size is a fairly small number. --- **Graph/Diagram Explanation:** There are no graphs or diagrams included in the text. The problem is purely textual and involves statistical estimation based on given assumptions. --- This text is designed to help students apply concepts of statistical estimation in practical scenarios, particularly focusing on determining sample sizes for confidence intervals.
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