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MATLAB: An Introduction with Applications

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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100%

A simple random sample of size \( n = 200 \) individuals who are currently employed is asked if they work at home at least once per week. Of the 200 employed individuals surveyed, 38 responded that they did work at home at least once per week. Construct a 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.

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The lower bound is [ ]. (Round to three decimal places as needed.)

## Estimating Mean HDL Cholesterol

### Problem Statement

A doctor aims to estimate the mean HDL cholesterol level of all 20- to 29-year-old females. To determine the necessary sample size, consider the following:

- **Desired Precision:** Estimate within 2 points.
- **Confidence Level:** 99% confidence.
- **Standard Deviation (s):** 14.8, based on previous studies.

Suppose the doctor would accept a 90% confidence level. How does a lower confidence level affect the sample size required?

### Instructions

- To view a table of critical values, click the provided icon.
- Calculate the sample size for a 99% confidence level and round up to the nearest whole subject.

### Answer Section

- **A 99% confidence level requires:** [Enter calculated number] subjects. (Round up to the nearest subject.)

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A simple random sample of size n=200 individuals who are currently employed is asked if they work at home at least once per week. Of the 200 employed individuals surveyed, 35 responded that they did work at home at least once per week. Construct a 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.
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