Question
In: Statistics and Probability
6) I took a random sample of people from the 2000 U.S. Census and recorded the...
6) I took a random sample of people from the 2000 U.S.
Census and recorded the incomes. The sample size was n = 30 (with
replacement). The average of the sample was $23606 and the standard
deviation of the sample was $24757. Answer these questions using
the statistics that I found from my sample.
a) Find a 95% confidence interval for the mean income of the
population.
b) What assumptions must you make in order for the 95% confidence
level to be correct?
c) Your confidence interval is of the form (LB, UB) where LB and UB
are both numbers. Suppose I'm going to take a new sample of size
30. Can I conclude that the probability the average of my sample is
between LB and UB is 95%? (where LB and UB are the values you found
in your interval.) Why or why not?
d)A politician claims that the mean income of US residents (in
2000) was $25,000. Test this claim with an appropriate hypothesis
test using a significance level of 5%.
e) For part (d), what's the smallest significance level you could
have used so that the result would be that you would reject the
null hypothesis?
Solutions
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orchestra answered 1 year agoRelated Solutions
Exhibit 9-6 A random sample of 100 people was taken. Eighty of the people in the...
Exhibit 9-6
A random sample of 100 people was taken. Eighty of the people in
the sample favored Candidate A. We
are interested in determining whether or not the proportion of
the population in favor of Candidate A is
significantly more than 75%.
32. Refer to Exhibit 9-6. The test statistic is
a.
0.80
b.
0.05
c.
1.25
d.
2.00
33. Refer to Exhibit 9-6. The
p
-value is
a.
0.2112
b.
0.05
c.
0.025
d.
0.0156
34. Refer to...
Exhibit 9-6 A random sample of 100 people was taken. Eighty of the people in the...
Exhibit 9-6
A random sample of 100 people was taken. Eighty of the people in
the sample favored Candidate A. We
are interested in determining whether or not the proportion of
the population in favor of Candidate A is
significantly more than 75%.
32. Refer to Exhibit 9-6. The test statistic is
a.
0.80
b.
0.05
c.
1.25
d.
2.00
33. Refer to Exhibit 9-6. The
p
-value is
a.
0.2112
b.
0.05
c.
0.025
d.
0.0156
34. Refer to...
Exhibit 9-6. a random sample of 100 people were taken. Eighty of the people in the...
Exhibit 9-6. a random sample of 100 people were taken. Eighty of
the people in the sample favored candidate A. We are interested in
determining whether or not the proportion of the population in
favor of candidate A is significantly more than 75%. At a 0.05
level of significance it can be concluded that the proportion of
the population in favor of candidate A is ____?
Is it significantly greater than 75%, not significantly greater
than 75%, significantly greater than...
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(c ) above 70
(d) above 115
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0 children-3 people responded
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3 children-19 people
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(Contingency table )
Forcible Rape
Robbery
Aggravated assault
Cary, NC
14
35
70
Amherst, NY
10
33
76
Simi Valley, CA
14
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77
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47
36
53
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Question 6
A random sample of 516 U.S. businesses found that 144 of the 516
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Blank-1 and Blank-2
The U.S. Census Bureau collects data on the ages of married people. Suppose that eight married...
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Let d=(age of husband)−(age of wife)d=(age of husband)−(age of
wife). Assume that the ages are normally distributed for the
populations of both husbands and wives in the U.S.
Husband
43
63
65...
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