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]
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52bd3cfe-3c9b-40ce-8732-3b0b81ba9280%2F2940df51-aba9-4d6a-9c06-bca1d43a6d13%2Fcpzvphd_processed.jpeg&w=3840&q=75)
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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