**5.7.1: Confidence Intervals for Population Means**---**Challenge Activity***Jump to level 1*Suppose the mean height in inches of all 9th-grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 8 randomly selected students are 67, 74, 70, 65, 62, 60, and 68.\[ \bar{x} = 12.34 \]Margin of error at 99% confidence level = $ E = 12.34 $99% confidence interval = $[ \text{Ex: 12.34} - E, \text{Ex: 12.34} + E ]$*[smaller value, larger value]*---**Interface:**- A field labeled "1" appears, likely for student input.- Buttons labeled "Check" and "Next" are present.- Option to "Provide feedback."*End of activity.*---This module helps students understand how to calculate confidence intervals for population means, using a sample of student heights to illustrate the process.

Let "X" be the heights of students. X 67 74 70 70 65 62 60 68

Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 8 randomly selected students are 67, 74, 70, 70, 65, 62, 60 and 68.

Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 8 randomly selected students are 67, 74, 70, 70, 65, 62, 60 and 68.

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

**5.7.1: Confidence Intervals for Population Means**

---

**Challenge Activity**

*Jump to level 1*

Suppose the mean height in inches of all 9th-grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 8 randomly selected students are 67, 74, 70, 65, 62, 60, and 68.

\[ \bar{x} = 12.34 \]

Margin of error at 99% confidence level = $ E = 12.34 $

99% confidence interval = $[ \text{Ex: 12.34} - E, \text{Ex: 12.34} + E ]$

*[smaller value, larger value]*

---

**Interface:**

- A field labeled "1" appears, likely for student input.
- Buttons labeled "Check" and "Next" are present.
- Option to "Provide feedback."

*End of activity.*

---

This module helps students understand how to calculate confidence intervals for population means, using a sample of student heights to illustrate the process.

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