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 165.74.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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 165.74.
(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.)
604.37
703.95
ppm
Interpret the resulting interval.
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.
We are 95% confident that this interval does not contain the true population mean.
(b) Suppose the investigators had made a rough guess of 182 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 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 165.74. (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.) 604.37 703.95 ppm Interpret the resulting interval. 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. We are 95% confident that this interval does not contain the true population mean. (b) Suppose the investigators had made a rough guess of 182 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
A journal article reports that a sample of size 5 was used as a basis for calculating a 95% CI for the true average natural frequency (Hz) of delaminated beams of a certain type. The resulting
interval was (229.265, 233.003). You decide that a confidence level of 99% is more appropriate than the 95% level used. What are the limits of the 99% interval? [Hint: Use the center of the
interval and its width to determine x and s.] (Round your answers to three decimal places.)
n USE SALT
Hz
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Need Help?
Read It
Transcribed Image Text:A journal article reports that a sample of size 5 was used as a basis for calculating a 95% CI for the true average natural frequency (Hz) of delaminated beams of a certain type. The resulting interval was (229.265, 233.003). You decide that a confidence level of 99% is more appropriate than the 95% level used. What are the limits of the 99% interval? [Hint: Use the center of the interval and its width to determine x and s.] (Round your answers to three decimal places.) n USE SALT Hz You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It
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