Question

The Greater Metro Regional Transit Authority is the public
transit agency for Deleware, and the surrounding suburbs of Metro
County. The amount of time it takes for the Transit train to travel
from City Hall to Park Avenue is normally distributed, taking an
average of 15 minutes and a variance of 4.8. A random sample of 120
riders is selected from the population of all riders who take this
route. Calculate the value of the standard error of the sample
mean. *Use only the appropriate formula and/or
statistical table in your textbook to answer this question. Report
your answer to 2 decimal places, using conventional rounding
rules.*

Answer #1

Solution :

Given that ,

mean = = 15

variance = ^{2}
= 4.8

standard deviation =
=
^{2}
=
4.8 = 2.19

n = 120

_{}
=
= 15

_{}
=
/
n = 2.19 /
120 = 0.20

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