MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Determining Sample Size for Grade-Point Averages**

Assume that all grade-point averages are standardized on a scale between 0 and 4. How many grade-point averages must be obtained so that the sample mean is within 0.012 of the population mean? Assume that a 99% 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?**

---

**Calculation:**

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

**Practicality Evaluation:**

Does the sample size seem practical?

- **A.** No, because the required sample size is a fairly large number.
- **B.** No, because the required sample size is a fairly small number.
- **C.** Yes, because the required sample size is a fairly large number.
- **D.** Yes, because the required sample size is a fairly small number.
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Transcribed Image Text:**Determining Sample Size for Grade-Point Averages** Assume that all grade-point averages are standardized on a scale between 0 and 4. How many grade-point averages must be obtained so that the sample mean is within 0.012 of the population mean? Assume that a 99% 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?** --- **Calculation:** The required sample size is \(\_\_\_\_\) (Round up to the nearest whole number as needed.) **Practicality Evaluation:** Does the sample size seem practical? - **A.** No, because the required sample size is a fairly large number. - **B.** No, because the required sample size is a fairly small number. - **C.** Yes, because the required sample size is a fairly large number. - **D.** Yes, because the required sample size is a fairly small number.
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