Ethan wants to know how long (in minutes) it takes to walk from the State Library to the Peter Hall Building. Over the past ten days, Ethan records the time (in minutes) needed for him to finish the trip, as follows: 16.8 12.5 17.2 14.1 14.5 13.2 15.6 14.6 14.8 13.6 Assuming a normal distribution N(µx,ož) for these observations, please answer the following: (a) If ož is unknown, calculate a 95% confidence interval for the mean µx. (b) Find a 90% confidence interval for oz. (c) Assume ox = 2 minutes and that you want a 95% confidence interval of width 2

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Ethan wants to know how long (in minutes) it takes to walk from the State Library to
the Peter Hall Building. Over the past ten days, Ethan records the time (in minutes)
needed for him to finish the trip, as follows:
16.8 12.5 17.2 14.1 14.5 13.2 15.6 14.6 14.8 13.6
Assuming a normal distribution N(ux,o3) for these observations, please answer the
following:
(a) If o? is unknown, calculate a 95% confidence interval for the mean µx.
(b) Find a 90% confidence interval for o.
(c) Assume ox = 2 minutes and that you want a 95% confidence interval of width 2
(i.e. ±1). How many experiments are needed?
Transcribed Image Text:Ethan wants to know how long (in minutes) it takes to walk from the State Library to the Peter Hall Building. Over the past ten days, Ethan records the time (in minutes) needed for him to finish the trip, as follows: 16.8 12.5 17.2 14.1 14.5 13.2 15.6 14.6 14.8 13.6 Assuming a normal distribution N(ux,o3) for these observations, please answer the following: (a) If o? is unknown, calculate a 95% confidence interval for the mean µx. (b) Find a 90% confidence interval for o. (c) Assume ox = 2 minutes and that you want a 95% confidence interval of width 2 (i.e. ±1). How many experiments are needed?
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