b.
A study of rush-hour traffic in San Francisco counts the number of people in each car entering a
freeway at a suburban interchange
. Suppose that the number of people per car in the population
of
cars that enter
at this interchange during rush hours has a mean of -1.5
and a standard
deviation
of o-0.75
a.
Could the distribution of the number of people per car be approximately normal for the
population of cars entering the
interchange during rush hours? Explain your answer.
Yes it could be normal the number of people
is inherently a discrete variable taking whole
number values like 1,2,3
while discrete variabus
can still be normal.
Describe the shape of the sampling distribution of x-bar for SRSS of size n 100 from the
population of cars that enter this
interchange during rush hours. Justify your answer.
0.75-0075
The shape will be normal, the population
mean which 1.5 SE == 0.75
This indicates it would be
narrow.
VTOO VIO
Let x-bar be the sample mean number of people in a random sample of 100 cars that enter this
interchange during rush hours.
C.
pl
skewed to
we choos
songs.
Describe the shape, center, and variability of the sampling distribution of x-bar for samples of
size 100.
a.
b.
C
d.
What is the probability that the mean number of people in a random sample of 100 cars that
enter at this interchange during rush hours is at least 1.7?