4. A study reports that for a sample of 50 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO2 level (ppm) was 654.16, and the sample standard deviation was 164.43. Do not assume any particular distribution for the population (i.e. we don't know the distribution of CO2 ppm values). a) Calculate and interpret a 95% (two-sided) confidence interval for true average CO2 level in the population of all homes from which the sample was selected. b) Suppose the investigators had made a rough guess of 175 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 50 ppm for a confidence level of 95%?

4. A study reports that for a sample of 50 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO2 level (ppm) was 654.16, and the sample standard deviation was 164.43. Do not assume any particular distribution for the population (i.e. we don't know the distribution of CO2 ppm values). a) Calculate and interpret a 95% (two-sided) confidence interval for true average CO2 level in the population of all homes from which the sample was selected. b) Suppose the investigators had made a rough guess of 175 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 50 ppm for a confidence level of 95%?

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.

Question

4. A study reports that for a sample of 50 kitchens with gas cooking appliances monitored during
a one-week period, the sample mean CO2 level (ppm) was 654.16, and the sample standard
deviation was 164.43. Do not assume any particular distribution for the population (i.e. we don't
know the distribution of CO2 ppm values).
a) Calculate and interpret a 95% (two-sided) confidence interval for true average CO2
level in the population of all homes from which the sample was selected.
b) Suppose the investigators had made a rough guess of 175 for the value of s before
collecting data. What sample size would be necessary to obtain an interval width of 50
ppm for a confidence level of 95%?

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