The head of the Philippine University (PU) observes a decline on the alcoholic expenditures of leamers from a monthly expenditure of Php 350 pesos in the previous year. To check on this, he randomly selected 10 PU learners who drink alcoholic beverages and asked the amount, in pesos, that they usually spend on alcoholic beverages in a month. It is known that the usual amount spent on alcoholic beverages by learners who drink alcoholic beverages follows the normal distribution with standard deviation of Php 10. The data collected are: 400, 235, 200, 250, 200, 300, 500, 430, 420, and 220. 1. Construct and interpret a 95% confidence interval for the true mean amount spent by the learners on alcoholic beverages. 2. Find a 90% confidence interval for the true mean amount spent by the learners on alcoholic beverages. 3. Calculate the widths of the confidence intervals in (a) and (b). How was the width of the confidence interval affected by the decrease in the confidence coefficient holding the other factors constant? 4. How many leamers must be sampled in order to be 99% confident that the estimated mean amount spent on alcoholic beverages will be within Php 2.00 of the true mean?

The head of the Philippine University (PU) observes a decline on the alcoholic expenditures of leamers from a monthly expenditure of Php 350 pesos in the previous year. To check on this, he randomly selected 10 PU learners who drink alcoholic beverages and asked the amount, in pesos, that they usually spend on alcoholic beverages in a month. It is known that the usual amount spent on alcoholic beverages by learners who drink alcoholic beverages follows the normal distribution with standard deviation of Php 10. The data collected are: 400, 235, 200, 250, 200, 300, 500, 430, 420, and 220. 1. Construct and interpret a 95% confidence interval for the true mean amount spent by the learners on alcoholic beverages. 2. Find a 90% confidence interval for the true mean amount spent by the learners on alcoholic beverages. 3. Calculate the widths of the confidence intervals in (a) and (b). How was the width of the confidence interval affected by the decrease in the confidence coefficient holding the other factors constant? 4. How many leamers must be sampled in order to be 99% confident that the estimated mean amount spent on alcoholic beverages will be within Php 2.00 of the true mean?

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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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.

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The head of the Philippine University (PU) observes a decline on the alcoholic expenditures of learners from a monthly expenditure of Php 350 pesos in the previous year. To check on this, he randomly selected 10 PU learners who drink alcoholic beverages and asked the amount, in pesos, that
they usually spend on alcoholic beverages in a month. It is known that the usual amount spent on alcoholic beverages by learners who drink alcoholic beverages follows the normal distribution with standard deviation of Php 10. The data collected are: 400, 235, 200, 250, 200, 300, 500, 430, 420,
and 220.
1. Construct and interpret a 95% confidence interval for the true mean amount spent by the learners on alcoholic beverages.
2. Find a 90% confidence interval for the true mean amount spent by the learners on alcoholic beverages.
3. Calculate the widths of the confidence intervals in (a) and (b). How was the width of the confidence interval affected by the decrease in the confidence coefficient holding the other factors constant?
4. How many learners must be sampled in order to be 99% confident that the estimated mean amount spent on alcoholic beverages will be within Php 2.00 of the true mean?

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