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1. Let X equal the dirt in kg per day produced by a typical family in Dhaka city. Suppose the standard deviation of X is 2 kg. To estimate the mean u of X, an agency took a random sample of 100 families and found they produced metric ton of dirt every day. Find an approximate 95% confidence interval for u. 2. Let X equal to the amount of food in pound per day consumed by a labor. Suppose the variance o? of X is 0.25. To estimate the mean u of X, an agency took a random sample of 50 labors and found they consumed on average 4 found food per day. Find an approximate 85% confidence interval for u. 3. In a certain motivational conference, a speaker delivered a speech to 300 people and two-third of them responded after the conference. If 75% responses were positive. Find an approximate 90% confidence interval for the fraction p of the people who motivated by the speaker.

1. Let X equal the dirt in kg per day produced by a typical family in Dhaka city. Suppose the standard deviation of X is 2 kg. To estimate the mean u of X, an agency took a random sample of 100 families and found they produced metric ton of dirt every day. Find an approximate 95% confidence interval for u. 2. Let X equal to the amount of food in pound per day consumed by a labor. Suppose the variance o? of X is 0.25. To estimate the mean u of X, an agency took a random sample of 50 labors and found they consumed on average 4 found food per day. Find an approximate 85% confidence interval for u. 3. In a certain motivational conference, a speaker delivered a speech to 300 people and two-third of them responded after the conference. If 75% responses were positive. Find an approximate 90% confidence interval for the fraction p of the people who motivated by the speaker.

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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1. Let X equal the dirt in kg per day produced by a typical family in Dhaka city. Suppose the standard deviation of X is 2 kg. To estimate the mean u of X, an agency took a random sample of 100 families and found they produced metric ton of dirt every day. Find an approximate 95% confidence interval for µ. 2. Let X equal to the amount of food in pound per day consumed by a labor. Suppose the variance o? of X is 0.25 . To estimate the mean u of X, an agency took a random sample of 50 labors and found they consumed on average 4 found food per day. Find an approximate 85% confidence interval for µ. 3. In a certain motivational conference, a speaker delivered a speech to 300 people and two-third of them responded after the conference. If 75% responses were positive. Find an approximate 90% confidence interval for the fraction p of the people who motivated by the speaker.
Transcribed Image Text:1. Let X equal the dirt in kg per day produced by a typical family in Dhaka city. Suppose the standard deviation of X is 2 kg. To estimate the mean u of X, an agency took a random sample of 100 families and found they produced metric ton of dirt every day. Find an approximate 95% confidence interval for µ. 2. Let X equal to the amount of food in pound per day consumed by a labor. Suppose the variance o? of X is 0.25 . To estimate the mean u of X, an agency took a random sample of 50 labors and found they consumed on average 4 found food per day. Find an approximate 85% confidence interval for µ. 3. In a certain motivational conference, a speaker delivered a speech to 300 people and two-third of them responded after the conference. If 75% responses were positive. Find an approximate 90% confidence interval for the fraction p of the people who motivated by the speaker.
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