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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23be5c35-fb7c-4823-9974-eb0a42948a7a%2Fe07bb7f9-c18f-4e98-8973-5401f2eb05de%2Fn6tu4rv_processed.jpeg&w=3840&q=75)
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 8 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill