The article "Gas Cooking, Kitchen Ventilation, and Exposure to Combustion Products" (Indoor Air,
2006: 65-73) 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% (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%?