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 1 minute. For this distribution μ = 0.5 and σ = 0.289.

(a) Let x be the sample mean waiting time for a random sample of 19 individuals. What are the mean and standard deviation of the sampling distribution of x? (Round your answers to three decimal places.)

μx

=

σx

=

(b) Answer Part (a) for a random sample of 50 individuals. (Round your answers to three decimal places.)

μx	=
σx	=

Answer 1

Solution :

Given that ,

mean = = 0.5

standard deviation = = 0.289

a) n = 19

=   = 0.5

= / n = 0.289 / 19 = 0.066

b) n = 50

=   = 0.5

= / n = 0.289 / 50 = 0.041