An article reported that for a sample of 45 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 165.23. (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. 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. • we are 95% confident that this interval contains the true population mean. (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 52 ppm for a confidence level of 95%? (Round your answer up to the near number.) kitchens
An article reported that for a sample of 45 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 165.23. (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. 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. • we are 95% confident that this interval contains the true population mean. (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 52 ppm for a confidence level of 95%? (Round your answer up to the near number.) kitchens
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Please solve (b) only! The answer is not 45. Thanks.

Transcribed Image Text:### Educational Transcription
**Context:** An article reported on a sample study of 45 kitchens with gas cooking appliances monitored over a week. The sample mean CO₂ level was 654.16 ppm, with a standard deviation of 165.23.
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#### (a) Confidence Interval Calculation
**Task:** Calculate and interpret a 95% confidence interval for the true average CO₂ level in the population of all homes from which the sample was selected. Answers should be rounded to two decimal places.
- **Confidence Interval:** ( ____, ____ ) ppm
**Interpret the Resulting Interval:**
- Option 1: We are 95% confident that the true population mean lies below this interval.
- Option 2: We are 95% confident that this interval does not contain the true population mean.
- Option 3: We are 95% confident that the true population mean lies above this interval.
- Option 4: **We are 95% confident that this interval contains the true population mean.** ✔️
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#### (b) Sample Size Calculation
**Scenario:** Investigators made a rough guess of 177 for the value of s (standard deviation) before collecting data.
**Task:** Determine the necessary sample size to obtain an interval width of 52 ppm with a 95% confidence level. Round your answer to the nearest whole number.
- **Sample Size Needed:** _____ kitchens
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This exercise guides learners through the process of calculating and interpreting statistical confidence intervals for real-world applications in environmental studies.
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