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Announcements for 85 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 2.98 days. The population standard deviation is 1.28 days. Assume the underlying population is normal. Part (a) In words, define the random variables X and X. ○ X is the mean number of engineering conferences listed in IEEE Spectrum magazine, and X is the number of engineering conferences. ○ X is the mean length from a sample of 85 engineering conferences, and X is the length of an engineering conference. ○ X is the length of an engineering conference, and X is the mean length from a sample of 85 engineering conferences. ○ X is the number of engineering conferences, and X is the mean number of engineering conferences listed in IEEE Spectrum magazine. Part (b) Which distribution should you use for this problem? Explain your choice. ○ The standard normal distribution should be used because the population standard deviation is known. O The standard normal distribution should be used because the mean is given. The Student's t-distribution should be used because the sample standard deviation is given. ○ The Student's t-distribution should be used because the sample mean is smaller than 30. - Part (c) Construct a 95% confidence interval for the population mean length of engineering conferences. (i) State the confidence interval. (Round your answers to two decimal places.) (ii) Sketch the graph. (Round your answers to two decimal places. Enter your a/2 to three decimal places.) 82 = C.L.= (iii) Calculate the error bound. (Round your answer to two decimal places.) Submit Answer α 82 X

Announcements for 85 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 2.98 days. The population standard deviation is 1.28 days. Assume the underlying population is normal. Part (a) In words, define the random variables X and X. ○ X is the mean number of engineering conferences listed in IEEE Spectrum magazine, and X is the number of engineering conferences. ○ X is the mean length from a sample of 85 engineering conferences, and X is the length of an engineering conference. ○ X is the length of an engineering conference, and X is the mean length from a sample of 85 engineering conferences. ○ X is the number of engineering conferences, and X is the mean number of engineering conferences listed in IEEE Spectrum magazine. Part (b) Which distribution should you use for this problem? Explain your choice. ○ The standard normal distribution should be used because the population standard deviation is known. O The standard normal distribution should be used because the mean is given. The Student's t-distribution should be used because the sample standard deviation is given. ○ The Student's t-distribution should be used because the sample mean is smaller than 30. - Part (c) Construct a 95% confidence interval for the population mean length of engineering conferences. (i) State the confidence interval. (Round your answers to two decimal places.) (ii) Sketch the graph. (Round your answers to two decimal places. Enter your a/2 to three decimal places.) 82 = C.L.= (iii) Calculate the error bound. (Round your answer to two decimal places.) Submit Answer α 82 X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Announcements for 85 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 2.98 days. The population standard deviation is 1.28 days. Assume the underlying population is normal. Part (a) In words, define the random variables X and X. ○ X is the mean number of engineering conferences listed in IEEE Spectrum magazine, and X is the number of engineering conferences. ○ X is the mean length from a sample of 85 engineering conferences, and X is the length of an engineering conference. ○ X is the length of an engineering conference, and X is the mean length from a sample of 85 engineering conferences. ○ X is the number of engineering conferences, and X is the mean number of engineering conferences listed in IEEE Spectrum magazine. Part (b) Which distribution should you use for this problem? Explain your choice. ○ The standard normal distribution should be used because the population standard deviation is known. O The standard normal distribution should be used because the mean is given. The Student's t-distribution should be used because the sample standard deviation is given. ○ The Student's t-distribution should be used because the sample mean is smaller than 30. - Part (c) Construct a 95% confidence interval for the population mean length of engineering conferences. (i) State the confidence interval. (Round your answers to two decimal places.) (ii) Sketch the graph. (Round your answers to two decimal places. Enter your a/2 to three decimal places.) 82 = C.L.= (iii) Calculate the error bound. (Round your answer to two decimal places.) Submit Answer α 82 X
Transcribed Image Text:Announcements for 85 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 2.98 days. The population standard deviation is 1.28 days. Assume the underlying population is normal. Part (a) In words, define the random variables X and X. ○ X is the mean number of engineering conferences listed in IEEE Spectrum magazine, and X is the number of engineering conferences. ○ X is the mean length from a sample of 85 engineering conferences, and X is the length of an engineering conference. ○ X is the length of an engineering conference, and X is the mean length from a sample of 85 engineering conferences. ○ X is the number of engineering conferences, and X is the mean number of engineering conferences listed in IEEE Spectrum magazine. Part (b) Which distribution should you use for this problem? Explain your choice. ○ The standard normal distribution should be used because the population standard deviation is known. O The standard normal distribution should be used because the mean is given. The Student's t-distribution should be used because the sample standard deviation is given. ○ The Student's t-distribution should be used because the sample mean is smaller than 30. - Part (c) Construct a 95% confidence interval for the population mean length of engineering conferences. (i) State the confidence interval. (Round your answers to two decimal places.) (ii) Sketch the graph. (Round your answers to two decimal places. Enter your a/2 to three decimal places.) 82 = C.L.= (iii) Calculate the error bound. (Round your answer to two decimal places.) Submit Answer α 82 X
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