An article reported that for a sample of 42 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 163.7. (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.) (604.65 703.67 ' Interpret the resulting interval. ) ppm We are 95% confident that this interval contains the true population mean. 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. (b) Suppose the investigators had made a rough guess of 177 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 41 ppm for a confidence level of 95%? (Round your answer up to the nearest whole number.) 192 X kitchens

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An article reported that for a sample of 42 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 163.7.
(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.).
604.65
703.67
✓) ppm
Interpret the resulting interval.
We are 95% confident that this interval contains the true population mean.
O 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.
O We are 95% confident that the true population mean lies below this interval.
(b) Suppose the investigators had made a rough guess of 177 for the value of s before collecting data. What sample size would be
necessary to obtain an interval width of 41 ppm for a confidence level of 95%? (Round your answer up to the nearest whole number.)
192
x
kitchens
Transcribed Image Text:An article reported that for a sample of 42 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 163.7. (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.). 604.65 703.67 ✓) ppm Interpret the resulting interval. We are 95% confident that this interval contains the true population mean. O 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. O We are 95% confident that the true population mean lies below this interval. (b) Suppose the investigators had made a rough guess of 177 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 41 ppm for a confidence level of 95%? (Round your answer up to the nearest whole number.) 192 x kitchens
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