### Find the Necessary Sample Size**Problem Statement:**You wish to estimate the mean weight of machine components of a certain type and you require a 92% degree of confidence that the sample mean will be in error by no more than 0.007 g. Find the sample size required. A pilot study showed that the population standard deviation is estimated to be 0.05 g.**Options:**- 336- 157- 272- 112**Instructions:**1. Select the appropriate sample size based on the given confidence level and error tolerance.2. Click "Continue" to proceed after making your selection.**Interactive Element:**- You will see multiple-choice options: 336, 157, 272, and 112.- Use the provided buttons to select your answer before continuing.**Technical Note:**This problem involves applying statistical formulas to determine the sample size needed for a specified level of accuracy in estimating the mean of a population. The solution requires knowledge of confidence intervals and standard deviation.**Graph/Diagram Description:**There are no graphs or diagrams included in the image.**Navigation:**- A "Continue" button is located at the bottom, likely to navigate to subsequent questions or to submit the answer.**Footer Information:**The footer includes terms like "Submit Assignment," "© 2021 McGraw-Hill Education. All Rights Reserved," and links for "Terms of Use," "Privacy," and "Accessibility."### Understanding the ProblemThis problem is a typical example of how to determine the minimum sample size needed for estimating a population mean within a desired level of accuracy and confidence. It is essential in various fields such as manufacturing, quality control, and scientific research.

Solution:- We have given that Sigma=0.05 , Margin of error =E=0.007 , 92%confident Alpha=0.08

Find the necessary sample size. You wish to estimate the mean welght of machine components of a certaln type and you require a 92% degree of confidence that the sample mean will be in error by no more than 0.007 g. Find the sample size required. A pilot study showed that the population standard devlation Is estimated to be 0.05 g. O336 O 157 O 272 O 112

Find the necessary sample size. You wish to estimate the mean welght of machine components of a certaln type and you require a 92% degree of confidence that the sample mean will be in error by no more than 0.007 g. Find the sample size required. A pilot study showed that the population standard devlation Is estimated to be 0.05 g. O336 O 157 O 272 O 112

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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Concept explainers

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

### Find the Necessary Sample Size

**Problem Statement:**
You wish to estimate the mean weight of machine components of a certain type and you require a 92% degree of confidence that the sample mean will be in error by no more than 0.007 g. Find the sample size required. A pilot study showed that the population standard deviation is estimated to be 0.05 g.

**Options:**
- 336
- 157
- 272
- 112

**Instructions:**
1. Select the appropriate sample size based on the given confidence level and error tolerance.
2. Click "Continue" to proceed after making your selection.

**Interactive Element:**
- You will see multiple-choice options: 336, 157, 272, and 112.
- Use the provided buttons to select your answer before continuing.

**Technical Note:**
This problem involves applying statistical formulas to determine the sample size needed for a specified level of accuracy in estimating the mean of a population. The solution requires knowledge of confidence intervals and standard deviation.

**Graph/Diagram Description:**
There are no graphs or diagrams included in the image.

**Navigation:**
- A "Continue" button is located at the bottom, likely to navigate to subsequent questions or to submit the answer.

**Footer Information:**
The footer includes terms like "Submit Assignment," "© 2021 McGraw-Hill Education. All Rights Reserved," and links for "Terms of Use," "Privacy," and "Accessibility."

### Understanding the Problem
This problem is a typical example of how to determine the minimum sample size needed for estimating a population mean within a desired level of accuracy and confidence. It is essential in various fields such as manufacturing, quality control, and scientific research.

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