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HW 7.17.3 FA10 (Homework)
Chris O'Neal
STAT 7770 FA10, Fall 2010
Instructor: Chandler Pike
Current Score :
0 / 100
Due :
Monday, October 4, 2010 05:30 PM EDT
0/8 submissions
1.
–/26 points
According to a recent
Current Population Reports
, the population distribution of number of years of education for
selfemployed individuals in the United States has a mean of 13.3 and a standard deviation of 2.2.
(a) Identify the random variable
X
whose distribution is described here.
(b) Find the mean and standard error of the sampling distribution of
for a random sample of size 90.
Mean =
(1 decimal place)
Standard Error
=
(5 decimal places)
(c) Find the mean and standard error of the sampling distribution of
for a random sample of size 399.
Mean =
(1 decimal place)
Standard Error
=
(5 decimal places)
(d) Describe the effect of increasing
n
.
(e) If a sample of size 399 is selected from this population, what is the probability that the sample average will be less
than 13.7?
probability =
(4 decimal places)
(f) Suppose a random sample of 4 selfemployed individuals is selected at random from the population described above. The
sample data values are:
14, 10, 13, 12.
(i) The sample mean is
(2 decimal places)
(ii) The sample standard deviation is
(4 decimal places)
2.
–/16 points
number of selfemployed individuals
number of years of education
number of educated individuals in the United States
number of selfemployed individuals in the United States
The mean increases.
The mean stays the same.
The mean decreases.
The standard error increases.
The standard error stays the same.
The standard error decreases.
HW 7.17.3 FA10
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At a university, 61% of the 7400 students are female. The student newspaper reports results of a survey of a random
sample of 50 students about various topics involving alcohol abuse, such as participation in binge drinking. They report that
their sample contained 26 females.
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 Fall '08
 smith
 Statistics, Normal Distribution, Standard Deviation, Standard Error, decimal places

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