Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 4 inches. The heights of 8 randomly selected students are 70, 68, 67, 66, 67, 71,62 and 62. I = Ex: 12.34 Margin of error at 95% confidence level = Ex: 1.23 95% confidence interval = [ Ex: 12.34 Ex: 12.34 [smaller value, larger value]

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### 6.2.1: 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 4 inches. The heights of 8 randomly selected students are **70, 68, 67, 66, 67, 71, 62, and 62**.

\[
\bar{x} = \text{Ex: 12.34}
\]

**Margin of error at 95% confidence level** 

\[
\text{Ex: 1.23}
\]

**95% confidence interval**

\[
= \left[ \text{Ex: 12.34} , \text{Ex: 12.34} \right]
\]

[smaller value, larger value]

[Input Box: 1] [Input Box: 2]

[Button: Check]
[Button: Next]

##### Feedback

In this educational exercise, users are prompted to calculate the margin of error and the 95% confidence interval for the mean height of students given the provided population standard deviation and sample data. Users are expected to input their answers and check their results.

Note: The values "Ex: 12.34" and "Ex: 1.23" indicate example values or placeholders that students should replace with their calculated answers. The system allows students to input the smaller and larger values of the confidence interval.
Transcribed Image Text:### 6.2.1: 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 4 inches. The heights of 8 randomly selected students are **70, 68, 67, 66, 67, 71, 62, and 62**. \[ \bar{x} = \text{Ex: 12.34} \] **Margin of error at 95% confidence level** \[ \text{Ex: 1.23} \] **95% confidence interval** \[ = \left[ \text{Ex: 12.34} , \text{Ex: 12.34} \right] \] [smaller value, larger value] [Input Box: 1] [Input Box: 2] [Button: Check] [Button: Next] ##### Feedback In this educational exercise, users are prompted to calculate the margin of error and the 95% confidence interval for the mean height of students given the provided population standard deviation and sample data. Users are expected to input their answers and check their results. Note: The values "Ex: 12.34" and "Ex: 1.23" indicate example values or placeholders that students should replace with their calculated answers. The system allows students to input the smaller and larger values of the confidence interval.
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