Question
In: Statistics and Probability
A study of the population average income in a certain area was conducted. A sample of...
A study of the population average income in a certain area was conducted. A sample of 25 households was selected at random for a poll. The sample based average annual income was found as (X-bar) = $53,600, with the sample standard deviation found as (S = $12,000). Assume that individual records are normally distributed with an unknown population standard deviation.
Estimate the population average income with the 99% confidence. Answer all questions below.
-
Critical Value =
-
Margin of Error =
-
Upper Confidence Limit =
-
Lower Confidence Limit =
-
Width of the Confidence Interval =
Solutions
orchestra answered 2 years agoRelated Solutions
A study of 800 homeowners in a certain area showed that the average value of the...
A study of 800 homeowners in a certain area showed that the
average value of the homes is $182,000 and the standard deviation
is $15,000. Find the probability that the mean value of these homes
is less than $185,000.
Round answer to 4 decimal places.
A real estate study was conducted in the Washington, DC, area to determine if certain variables...
A real estate study was conducted in the Washington, DC, area to
determine if certain variables are related to the sales price of a
townhouse. As part of his investigation, he ran the following
multiple regression model: Sales Price = β0 + β1(Square Feet) +
β2(Distance) + εi where the deviations εi were assumed to be
independent and normally distributed with mean 0 and standard
deviation σ. The two explanatory variables are the square footage
of the townhouse and the...
A survey is conducted to estimate the average household income in a large metropolitan area. A...
A survey is conducted to estimate the average household income
in a large metropolitan area. A random sample of 150 households in
this area yielded an average household income of $55,000 with a
standard deviation of $13,200. Construct a 95% confidence
interval for the mean household income in this area.
(Choose the BEST answer)
For a certain urban area, in a sample of 5 months, an average of 28 mail...
For a certain urban area, in a sample of 5 months, an average of
28 mail carriers were bitten by dogs each month. The standard
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confidence interval of the true mean number of mail carriers who
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A study was conducted to see how people reacted to certain facial expressions. A sample group...
A study was conducted to see how people reacted to certain
facial expressions. A sample group of n=36n=36 was randomly divided
into six groups. Each group was assigned to to view one picture of
a person making a facial expression. Each group saw a different
picture, and the different expressions were (1) Surprised (2)
Nervous (3) Scared (4) Sad (5) Excited (6) Angry. After viewing the
pictures, the subjects were asked to rank the degree of dominance
they inferred from...
Given the following income data from a representative sample of a population in a certain year,...
Given the following income data from a representative
sample of a population in a certain year, what is its Gini
index?
Person
Income
Person
Income
Person
Income
1
30
6
400
11
1700
2
70
7
550
12
2000
3
140
8
1100
13
3000
4
210
9
1200
14
5000
5
300
10
1450
15
8000
A.
0.34
B.
0.44
C.
0.57
D.
0.60
E.
0.76
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(3)CONTINUED Please determine an 80% confidence interval for the
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The population of mosquitoes in a certain area increases at a rate proportional to the current...
The population of mosquitoes in a certain area increases at a
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represents days.)
In a certain factory they conducted a study to compare the mean productivity of the day...
In a certain factory they conducted a study to compare the mean
productivity of the day shift workers with the mean productivity of
the night shift workers. (The productivity is measured in
units.)
A sample of 42 day shift workers gave a sample mean of 68, and a
sample standard deviation of 15.
A sample of 33 night shift workers gave a sample mean of 63, and a
sample standard deviation of 8.
(a) Obtain the 95% confidence interval for...
In a certain factory they conducted a study to compare the mean productivity of the day...
In a certain factory they conducted a study to compare the mean
productivity of the day shift workers with the mean productivity of
the night shift workers. (The productivity is measured in
units.)
A sample of 42 day shift workers gave a sample mean of 68, and a
sample standard deviation of 15.
A sample of 33 night shift workers gave a sample mean of 63, and a
sample standard deviation of 8.
(a) Obtain the 95% confidence interval for...
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