A random sample of n measurements was selected from a population with unknown mean u and known standard deviation. Calculate a 90% confidence interval for u for each of the situations given in parts a through e. ... a.n= 70, x= 26, o? = 13 ( 25.29 , 26.71 ) (Round to two decimal places as needed.) b. n= 150, x= 118, o² = 24 ( 117.34 , 118.66 ) (Round to two decimal places as needed.) c.n= 90, x = 18, o = 0.2 ( 17.97 , 18.03 ) (Round to two decimal places as needed.) d. n= 90, x = 4.34, o = 0.76 (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
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**Educational Website Content: Confidence Interval Calculation**

A random sample of \( n \) measurements was selected from a population with unknown mean \( \mu \) and known standard deviation. Calculate a 90% confidence interval for \( \mu \) for each of the situations given in parts a through e.

**a.** 
- \( n = 70 \)
- \( \bar{x} = 26 \)
- \( \sigma^2 = 13 \)

**Confidence Interval:**
\[ (25.29, 26.71) \]
*Round to two decimal places as needed.*

**b.** 
- \( n = 150 \)
- \( \bar{x} = 118 \)
- \( \sigma^2 = 24 \)

**Confidence Interval:**
\[ (117.34, 118.66) \]
*Round to two decimal places as needed.*

**c.** 
- \( n = 90 \)
- \( \bar{x} = 18 \)
- \( \sigma = 0.2 \)

**Confidence Interval:**
\[ (17.97, 18.03) \]
*Round to two decimal places as needed.*

**d.** 
- \( n = 90 \)
- \( \bar{x} = 4.34 \)
- \( \sigma = 0.76 \)

**Confidence Interval:**
\[ \left(\text{\_\_\_\_} \right) \]
*Round to two decimal places as needed.*

**Graphs and Diagrams:**
There are no graphs or diagrams present in this document.
Transcribed Image Text:**Educational Website Content: Confidence Interval Calculation** A random sample of \( n \) measurements was selected from a population with unknown mean \( \mu \) and known standard deviation. Calculate a 90% confidence interval for \( \mu \) for each of the situations given in parts a through e. **a.** - \( n = 70 \) - \( \bar{x} = 26 \) - \( \sigma^2 = 13 \) **Confidence Interval:** \[ (25.29, 26.71) \] *Round to two decimal places as needed.* **b.** - \( n = 150 \) - \( \bar{x} = 118 \) - \( \sigma^2 = 24 \) **Confidence Interval:** \[ (117.34, 118.66) \] *Round to two decimal places as needed.* **c.** - \( n = 90 \) - \( \bar{x} = 18 \) - \( \sigma = 0.2 \) **Confidence Interval:** \[ (17.97, 18.03) \] *Round to two decimal places as needed.* **d.** - \( n = 90 \) - \( \bar{x} = 4.34 \) - \( \sigma = 0.76 \) **Confidence Interval:** \[ \left(\text{\_\_\_\_} \right) \] *Round to two decimal places as needed.* **Graphs and Diagrams:** There are no graphs or diagrams present in this document.
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