Co2 level (Ppm) eported (a) Calculate and interpret a 95% (two-sided) confidence interval for true average Co, 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. o We are 95% confident that the true population mean lies below this interval. 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 185 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 43 ppm for a confidence level of 95%? (Round your answer up to the nearest whole number.) kitchens

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An article reported that for a sample of 47 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 164.72.

(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.)

\[ \left( \_\_\_\_, \_\_\_\_\right) \text{ ppm} \]

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.
- 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 185 for the value of \( s \) before collecting data. What sample size would be necessary to obtain an interval width of 43 ppm for a confidence level of 95%? (Round your answer up to the nearest whole number.)

\[ \_\_\_\_ \text{ kitchens} \]
Transcribed Image Text:An article reported that for a sample of 47 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 164.72. (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.) \[ \left( \_\_\_\_, \_\_\_\_\right) \text{ ppm} \] 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. - 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 185 for the value of \( s \) before collecting data. What sample size would be necessary to obtain an interval width of 43 ppm for a confidence level of 95%? (Round your answer up to the nearest whole number.) \[ \_\_\_\_ \text{ kitchens} \]
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