The article "Gas Cooking, Kitchen Ventilation, and Exposure to Com- bustion Products" reported 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. (a) Calculate and interpret a 95% 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
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Author:Amos Gilat
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The article "Gas Cooking, Kitchen Ventilation, and Exposure to Com-
bustion Products" reported 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.
(a) Calculate and interpret a 95% 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%?
Transcribed Image Text:The article "Gas Cooking, Kitchen Ventilation, and Exposure to Com- bustion Products" reported 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. (a) Calculate and interpret a 95% 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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