Announcements for 81 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 2.9 standard deviation is 1.23 days. Assume the underlying population is normal. Part (a) In words, define the random variables X and X. X is the length of an engineering conference, and X is the mean length from a sample of 81 engineering conferences. O X is the mean length from a sample of 81 engineering conferences, and X is the length of an engineering conference. O X is the number of engineering conferences, and X is the mean number of engineering conferences listed in IEEE Spectrum magazine. O X is the mean number of engineering conferences listed in IEEE Spectrum magazine, and X is the number of engineering conferences. Part (b) Which distribution should you use for this problem? Explain your choice. O The Student's t-distribution should be used because the sample standard deviation is given. O 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. O 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. (1) State the confidence interval. (Round your answers to two decimal places.) () Sketch the graph (Round your answers to two decimal places. Enter your cx/2 to three decimal places) C.L. = 218
Announcements for 81 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 2.9 standard deviation is 1.23 days. Assume the underlying population is normal. Part (a) In words, define the random variables X and X. X is the length of an engineering conference, and X is the mean length from a sample of 81 engineering conferences. O X is the mean length from a sample of 81 engineering conferences, and X is the length of an engineering conference. O X is the number of engineering conferences, and X is the mean number of engineering conferences listed in IEEE Spectrum magazine. O X is the mean number of engineering conferences listed in IEEE Spectrum magazine, and X is the number of engineering conferences. Part (b) Which distribution should you use for this problem? Explain your choice. O The Student's t-distribution should be used because the sample standard deviation is given. O 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. O 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. (1) State the confidence interval. (Round your answers to two decimal places.) () Sketch the graph (Round your answers to two decimal places. Enter your cx/2 to three decimal places) C.L. = 218
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:1-710 TOMIS
Part (a)
Announcements for 81 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 2.981
standard deviation is 1.23 days. Assume the underlying population is normal.
DETAIL
In words, define the random variables X and X.
ⒸX is the length of an engineering conference, and X is the mean length from a sample of 81 engineering conferences.
O X is the mean length from a sample of 81 engineering conferences, and X is the length of an engineering conference.
OX is the number of engineering conferences, and X is the mean number of engineering conferences listed in IEEE Spectrum magazine.
O X is the mean number of engineering conferences listed in IEEE Spectrum magazine, and X is the number of engineering conferences.
Part (b)
Which distribution should you use for this problem? Explain your choice.
O The Student's t-distribution should be used because the sample standard deviation is given.
O 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.
O 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.
(1) State the confidence interval. (Round your answers to two decimal places.)
(ii) Sketch the graph. (Round your answers to two decimal places. Enter your cx/2 to three decimal places.)
a
C.L. =
MI NOTES
SAMSUNG
Transcribed Image Text:O The Student's t-distribution should be used because the sample standard deviation is given.
O 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.
O 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.
(1) State the confidence interval. (Round your answers to two decimal places.)
(ii) Sketch the graph. (Round your answers to two decimal places. Enter your x/2 to three decimal places.)
C.L. =
812
||
a
(iii) Calculate the error bound. (Round your answer to two decimal places)
Submit Answer
8 a
a
X
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