A random sample of 83 bicycle enthusiasts found the mean number of miles ridden over the summer is 684 with a standard deviation of 154.5. The 90% confidence interval for the true mean number of miles ridden over the summer for all bicycle enthusiasts is (655.79, 712.21). Which statement below is the correct interpretation of the confidence level? (A) There is a 90% chance the true mean number of miles ridden is between 655.79 and 712.21. (B) 90% of all bicycle enthusiasts ride between 655.79 and 712.21 miles over the summer. (C) We are 90% confident that a randomly selected cyclist will ride between 655.79 and 712.21 miles over the summer. (D) If 50 random samples of size n=83 were taken from the population of bicycle enthusiasts and a 90% confidence interval was calculated for each sample, then the true mean number of miles ridden would be contained within 45 of the calculated intervals, on average. (E) In repeated sampling, the mean number of miles ridden over the summer will be contained within the interval 90% of the time.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A random sample of 83 bicycle enthusiasts found the mean number of miles ridden over the summer
is 684 with a standard deviation of 154.5. The 90% confidence interval for the true mean number of
miles ridden over the summer for all bicycle enthusiasts is (655.79, 712.21). Which statement below
is the correct interpretation of the confidence level?
(A) There is a 90% chance the true mean number of miles ridden is between 655.79 and 712.21.
(B) 90% of all bicycle enthusiasts ride between 655.79 and 712.21 miles over the summer.
(C) We are 90% confident that a randomly selected cyclist will ride between 655.79 and 712.21 miles
over the summer.
(D) If 50 random samples of size n=83 were taken from the population of bicycle enthusiasts and a
90% confidence interval was calculated for each sample, then the true mean number of miles
ridden would be contained within 45 of the calculated intervals, on average.
(E) In repeated sampling, the mean number of miles ridden over the summer will be contained within
the interval 90% of the time.
Transcribed Image Text:A random sample of 83 bicycle enthusiasts found the mean number of miles ridden over the summer is 684 with a standard deviation of 154.5. The 90% confidence interval for the true mean number of miles ridden over the summer for all bicycle enthusiasts is (655.79, 712.21). Which statement below is the correct interpretation of the confidence level? (A) There is a 90% chance the true mean number of miles ridden is between 655.79 and 712.21. (B) 90% of all bicycle enthusiasts ride between 655.79 and 712.21 miles over the summer. (C) We are 90% confident that a randomly selected cyclist will ride between 655.79 and 712.21 miles over the summer. (D) If 50 random samples of size n=83 were taken from the population of bicycle enthusiasts and a 90% confidence interval was calculated for each sample, then the true mean number of miles ridden would be contained within 45 of the calculated intervals, on average. (E) In repeated sampling, the mean number of miles ridden over the summer will be contained within the interval 90% of the time.
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