The time that people have to wait for an elevator in an office building has a uniform distribution over the interval from 0 to 1 minute. For this distribution, ?=0.5 and ?=0.289 .

The time that people have to wait for an elevator in an office building has a uniform distribution over the interval from 0 to 1 minute. For this distribution, / = 0.5 and o = 0.289. (a) If I is the average waiting time for a random sample of n = 25 waiting times, what are the values of the mean and standard deviation of the sampling distribution of I ? (Round your standard deviation to three decimal places.) (1) ME = (ii) 01 = (b) Answer part (a) for a random sample of 50 waiting times. (Round your standard deviation to three decimal places.) (ii) Of (c) Draw a picture of the approximate sampling distribution of I when n = 50 . (Select the correct graph.) CHOICE A CHOICE B 0.6 1.0 0.5 0.8 0.4 CHOICE C CHOICE D 0.6 0.3 0.2 0.4 0.1 0.2 O -0.2 0.2 0.4 0.6 0.8 1.0 1.2 O -0.2 0.2 0.4 0.6 0.8 1.0 1.2 O -0.5 0.0 0.5 1.0 1.5 A O 0.40 0.45 0.50 0.55 0.60 A