Tom 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, Tom records the time (in minutes) needed for him to finish the trip, as follows: 12.1 12.2 17.4 13.1 17.8 19.8 13.0 10.8 18.4 16.0 Assuming a normal distribution N(4x, o3) for these observations, please answer the fol- lowing: (a) If ox is unknown, calculate a 95% confidence interval for the mean. (b) Assume ox = 3 minutes and that you want a 95% confidence interval of width 2 (i.e. ±1). How many experiments are needed? Tom also has a record, from a month ago, of the time for him to walk from Queen Victoria Market to the Peter Hall Bulding, as follows: 20.1 21.3 20.4 21.7 20.3 19.5 19.4 19.9 Assuming a normal distribution N(µy , of) for these observations, please answer the fol- lowing: (c) Calculate a 95% confidence interval for ux - Hy.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Tom 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, Tom records the time (in minutes) needed
for him to finish the trip, as follows:
12.1 12.2 17.4 13.1 17.8 19.8 13.0 10.8 18.4 16.0
Assuming a normal distribution N(4x, o3) for these observations, please answer the fol-
lowing:
(a) If ox is unknown, calculate a 95% confidence interval for the mean.
(b) Assume ox = 3 minutes and that you want a 95% confidence interval of width 2
(i.e. ±1). How many experiments are needed?
Tom also has a record, from a month ago, of the time for him to walk from Queen Victoria
Market to the Peter Hall Bulding, as follows:
20.1 21.3 20.4 21.7 20.3 19.5 19.4 19.9
Assuming a normal distribution N(µy , of) for these observations, please answer the fol-
lowing:
(c) Calculate a 95% confidence interval for ux - Hy.
Transcribed Image Text:Tom 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, Tom records the time (in minutes) needed for him to finish the trip, as follows: 12.1 12.2 17.4 13.1 17.8 19.8 13.0 10.8 18.4 16.0 Assuming a normal distribution N(4x, o3) for these observations, please answer the fol- lowing: (a) If ox is unknown, calculate a 95% confidence interval for the mean. (b) Assume ox = 3 minutes and that you want a 95% confidence interval of width 2 (i.e. ±1). How many experiments are needed? Tom also has a record, from a month ago, of the time for him to walk from Queen Victoria Market to the Peter Hall Bulding, as follows: 20.1 21.3 20.4 21.7 20.3 19.5 19.4 19.9 Assuming a normal distribution N(µy , of) for these observations, please answer the fol- lowing: (c) Calculate a 95% confidence interval for ux - Hy.
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