Question
In: Statistics and Probability
2. The U.S. Census Bureau publishes information on the ages of married couples. Suppose we want...
2. The U.S. Census Bureau publishes information on the ages of
married couples. Suppose we want to determine whether, in the U.S.,
the mean age of married men differs from the mean age of their
wives. A random sample of married couples is taken and their ages
are recorded. Perform a hypothesis test at the 0.05 level of
significance to determine if the mean age of husbands differs from
the mean age of their wives. (Hint: Fill in the Difference portion
of the table or do it in your calculator)
Husband
24
33
45
72
31
42
57
29
27
Wife
20
31
44
23
27
39
56
29
24
Solutions
orchestra answered 2 years agoRelated Solutions
The U.S. Census Bureau collects data on the ages of married people. Suppose that eight married...
The U.S. Census Bureau collects data on the ages of married
people. Suppose that eight married couples are randomly selected
and have the ages given in the following table. Determine the 98%
confidence interval for the true mean difference between the ages
of married males and married females.
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...
The U.S. Census Bureau collects data on the ages of married people. Suppose that eight married...
The U.S. Census Bureau collects data on the ages of married
people. Suppose that eight married couples are randomly selected
and have the ages given in the following table. Determine the 95%
confidence interval for the true mean difference between the ages
of married males and married females.
Let 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
64
40
46
35
37
67
46...
The U.S. Census Bureau publishes data on factory orders for all manufacturing, durable goods, and nondurable...
The U.S. Census Bureau publishes data on factory orders for all
manufacturing, durable goods, and nondurable goods industries.
Shown below are factory orders in the United States over a 13- year
period ($ billion). First, use the data to develop forecasts for
years 6 through 13 using a 5-year moving average. Then, use the
data to develop forecasts for years 6 through 13 using a 5-year
weighted moving average. Weight the most recent year by 6, the
previous year by...
The U.S. Census Bureau publishes data on factory orders for all manufacturing, durable goods, and nondurable...
The U.S. Census Bureau publishes data on factory orders for all
manufacturing, durable goods, and nondurable goods industries.
Shown below are factory orders in the United States over a 13- year
period ($ billion). First, use the data to develop forecasts for
years 6 through 13 using a 5-year moving average. Then, use the
data to develop forecasts for years 6 through 13 using a 5-year
weighted moving average. Weight the most recent year by 6, the
previous year by...
Measures of Average: U.S. Census Bureau The U.S. Census Bureau reports the median family income in...
Measures of Average: U.S. Census Bureau
The U.S. Census Bureau reports the median family income in its
summary of census data.
a) Why do you suppose it uses the median instead of the
mean?
b) What might be the disadvantages of reporting the mean?
Measures of Variation: MP3 Player Life Span
A company selling a new MP3 player advertises that the player
has a mean lifetime of 5 years. If you were in charge of quality
control at the factory,...
The Bureau of the Census in the United States attempted to count every U.S. resident. Suppose...
The Bureau of the Census in the United States attempted to count
every U.S. resident. Suppose that the counts in the table are
obtained for four counties in one region. (Give all answers to four
decimal places.)
County
Race/Ethnicity
Caucasian
Hispanic
Black
Asian
American
Indian
Monterey
163,000
140,000
25,000
39,000
5,000
San Luis Obispo
190,000
38,000
7,000
9,000
3,000
Santa Barbara
230,000
121,000
12,000
24,000
5,000
Ventura
430,000
231,000
19,000
50,000
8,000
C. If one Hispanic person is selected at...
According to the U.S. Census Bureau, 20% of the workers in Atlanta use public transportation. Suppose...
According to the U.S. Census Bureau, 20% of the workers in
Atlanta use public transportation. Suppose 25 Atlanta workers are
randomly selected. (Hint: use sampling distribution) (a) What is
the standard deviation of the sample proportion of the selected
workers who use public transportation? (5 points) (a) What is the
probability that the proportion of the selected workers who use
public transportation is less than 32%? (5 points) (b) What is the
probability that the proportion of the selected workers...
The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age...
The U.S. Census Bureau conducts annual surveys to obtain
information on the percentage of the voting-age population that is
registered to vote. Suppose that 387 employed persons and 359
unemployed persons are independently and randomly selected, and
that 243 of the employed persons and 202 of the unemployed persons
have registered to vote. Can we conclude that the percentage of
employed workers ( p1 ), who have registered to vote, exceeds the
percentage of unemployed workers ( p2 ), who...
The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age...
The U.S. Census Bureau conducts annual surveys to obtain
information on the percentage of the voting-age population that is
registered to vote. Suppose that 700 employed persons and 300
unemployed persons are independently and randomly selected and that
500 of the employed persons and 200 of the unemployed persons have
registered to vote. Can we conclude that the percentage of the
employed workers (p1), who have registered to vote,
exceeds the percentage of unemployed workers (p2),
who have registered to...
The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age...
The U.S. Census Bureau conducts annual surveys to obtain
information on the percentage of the voting-age population that is
registered to vote. Suppose that 581581 employed persons and 485
unemployed persons are independently and randomly selected, and
that 374 of the employed persons and 232 of the unemployed persons
have registered to vote. Can we conclude that the percentage of
employed workers ( p1 ), who have registered to vote, exceeds the
percentage of unemployed workers ( p2 ), who...
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