The article “gas cooking, kitchen ventilation, and exposure to combustion products” reported that for a sample of 50 kitchens withgas cooking appliances monitored during a one-week period, the sample mean co2level(ppm) was 654.16, and the sample standard deviation was 164.43.(a) calculate and interpret a 95% confidence interval for true average co2level in thepopulation of all homes from which the sample was selected.(b) suppose the investigators had made a rough guess of 175 for the value ofsbeforecollecting data. what sample size would be necessary to obtain an interval widthof 50 ppm for a confidence level of 95%?