An article reported that for a sample of 54 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 166.42. (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. (Round your answers to two decimal places.) ppm Interpret the resulting interval. We are 95% confident that this interval does not contain the true population mean. We are 95% confident that the true population mean lies below this interval. o We are 95% confident that the true population mean lies above this interval. o We are 95% confident that this interval contains the true population mean. (b) Suppose the investigators had made a rough guess of 179 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 54 ppm for a confidence level of 95%? (Round your answer up to the nearest whole number.) kitchens