article reported that for a sample of 54 kitchens with gas cooking appliances monitored during a one-week period, the sample mean Co, level (ppm) was 654.16, and the sample standard d 1.38. (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 places.) X, 699.03 ]× ) 609.29 ppm Interpret the resulting interval. O we are 95% confident that this interval contains the true population mean. O we are 95% confident that the true population mean lies below this interval. O 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 above this interval.

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An article reported that for a sample of 54 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO, level (ppm) was 654.16, and the sample standard deviation was
164.38.
(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.)
609.29
699.03
ppm
Interpret the resulting interval.
O We are 95% confident that this interval contains the true population mean.
We are 95% confident that the true population mean lies below this interval.
O 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 above this interval.
(b) Suppose the investigators had made a rough guess of 172 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 60 ppm for a confidence
level of 95%? (Round your answer up to the nearest whole number.)
127
kitchens
Transcribed Image Text:An article reported that for a sample of 54 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO, level (ppm) was 654.16, and the sample standard deviation was 164.38. (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.) 609.29 699.03 ppm Interpret the resulting interval. O We are 95% confident that this interval contains the true population mean. We are 95% confident that the true population mean lies below this interval. O 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 above this interval. (b) Suppose the investigators had made a rough guess of 172 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 60 ppm for a confidence level of 95%? (Round your answer up to the nearest whole number.) 127 kitchens
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