The time that a randomly selected individual waits for an elevator in an office
ID: 3266055 • Letter: T
Question
The time that a randomly selected individual waits for an elevator in an office building has a uniform distribution over the interval from 0 to 2.9 min. It can be shown that for this distribution = 1.45 and = 0.837.
(a) Let x be the sample average waiting time for a random sample of 14 individuals. What are the mean and standard deviation of the sampling distribution of x ? (Round the answer to three decimal places.)
x =
x =
(b) Answer Part (a) for a random sample of 53 individuals. (Round the answer to three decimal places.)
x =
x =
Explanation / Answer
Part-a
x = 1.45
x = 0.837/sqrt(14)=0.224
Part-b
x = 1.45
x = 0.837/sqrt(53)=0.115
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