An article reported that for a sample of 41 kitchens with gas cooking appliances monitored during a one-week period, the

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An article reported that for a sample of 41 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 163.87.
(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. (Pick One)
We are 95% confident that the true population mean lies above
this 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.
We are 95% confident that this interval contains the true
population mean.
(b) Suppose the investigators had made a rough guess
of 184 for the value of s before
collecting data. What sample size would be necessary to obtain an
interval width of 45 ppm for a confidence level of 95%?
(Round your answer up to the nearest whole number.)
_______kitchens