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 9 randomly selected students are 75, 70, 65, 74, 65, 62, 60, 68 and 66. 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 9 randomly selected students are 75, 70, 65, 74, 65, 62, 60, 68, and 66.The sample mean (\(\bar{x}\)) is calculated to be 67.22 inches.The margin of error at a 90% confidence level and the 90% confidence interval will be calculated as follows:**Sample Mean (\(\bar{x}\))**:\[\bar{x} = 67.22 \text{ inches} \]**Margin of error at 90% confidence level**:\[\text{Margin of error} = \]**90% confidence interval**:\[\left[ \ , \ \right] \quad [\text{smaller value}, \text{larger value}]\]This information helps in statistically estimating the average height range in which the true mean height of all 9th grade students at this high school likely falls, with 90% confidence.

Given that Sample size n =9 Population standard deviation =3

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 9 randomly selected students are 75, 70, 65, 74, 65, 62, 60, 68 and 66.

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 9 randomly selected students are 75, 70, 65, 74, 65, 62, 60, 68 and 66.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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 9 randomly selected students are 75, 70, 65, 74, 65, 62, 60, 68, and 66.

The sample mean (\(\bar{x}\)) is calculated to be 67.22 inches.

The margin of error at a 90% confidence level and the 90% confidence interval will be calculated as follows:

**Sample Mean (\(\bar{x}\))**:
\[
\bar{x} = 67.22 \text{ inches}
\]

**Margin of error at 90% confidence level**:
\[
\text{Margin of error} =
\]

**90% confidence interval**:
\[
\left[ \ , \ \right] \quad [\text{smaller value}, \text{larger value}]
\]

This information helps in statistically estimating the average height range in which the true mean height of all 9th grade students at this high school likely falls, with 90% confidence.

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