An article reported that for a sample of 56 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 166.76. (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. 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 below this 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 above this interval. (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 53 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 56 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 166.76.
(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.
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 below this interval.
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.
(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 53 ppm for a confidence level of 95% ? (Round your answer up to the nearest whole
number.)
kitchens
Transcribed Image Text:An article reported that for a sample of 56 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 166.76. (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. 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 below this interval. 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. (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 53 ppm for a confidence level of 95% ? (Round your answer up to the nearest whole number.) kitchens
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Step 1: Define the given data.

From the information, given that

Statistics homework question answer, step 1, image 1

The formula of the confidence interval is,

Statistics homework question answer, step 1, image 2

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