An article reported that for a sample of 54 kitchens with gas cooking appliances monitored during...

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 165.57.

(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.(Which of these are the right statement.)

We are 95% confident that the true population mean lies below 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 above this interval.

We are 95% confident that this interval contains the true population mean.

(b) Suppose the investigators had made a rough guess of 167 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 58 ppm for a confidence level of 95%? (Round your answer up to the nearest whole number.)

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orchestra answered 2 years ago

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