Question

You may need to use the appropriate appendix table or technology to answer this question.

A simple random sample with

* n* = 59

provided a sample mean of 26.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.)

(a)

Develop a 90% confidence interval for the population mean.

to

(b)

Develop a 95% confidence interval for the population mean.

to

(c)

Develop a 99% confidence interval for the population mean.

to

(d)

What happens to the margin of error and the confidence interval as the confidence level is increased?

As the confidence level increases, there is a larger margin of error and a wider confidence interval.As the confidence level increases, there is a larger margin of error and a more narrow confidence interval. As the confidence level increases, there is a smaller margin of error and a wider confidence interval.As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval.

Answer #1

A simple random sample with
n = 52
provided a sample mean of 28.5 and a sample standard deviation
of 4.4. (Round your answers to one decimal place.)
(a)
Develop a 90% confidence interval for the population mean.
to
(b)
Develop a 95% confidence interval for the population mean.
to
(c)
Develop a 99% confidence interval for the population mean.
to
(d)
What happens to the margin of error and the confidence interval
as the confidence level is increased?
As...

You may need to use the appropriate appendix table or technology
to answer this question.
A newspaper reports that the average expenditure on Valentine's
Day is $100.89. Do male and female consumers differ in the amounts
they spend? The average expenditure in a sample survey of 40 male
consumers was $138.67, and the average expenditure in a sample
survey of 30 female consumers was $61.64. Based on past surveys,
the standard deviation for male consumers is assumed to be $35,...

You may need to use the appropriate appendix table or technology
to answer this question.
A newspaper reports that the average expenditure on Valentine's
Day is $100.89. Do male and female consumers differ in the amounts
they spend? The average expenditure in a sample survey of 40 male
consumers was $137.67, and the average expenditure in a sample
survey of 30 female consumers was $65.64. Based on past surveys,
the standard deviation for male consumers is assumed to be $45,...

You may need to use the appropriate appendix table or technology
to answer this question. Annual starting salaries for college
graduates with degrees in business administration are generally
expected to be between $41,000 and $59,600. Assume that a 95%
confidence interval estimate of the population mean annual starting
salary is desired. (Round your answers up to the nearest whole
number.) What is the planning value for the population standard
deviation? (a) How large a sample should be taken if the...

You may need to use the appropriate appendix table or technology
to answer this question.
A certain association provided data on the cost of the most
popular home remodeling projects. Sample data on the cost in
thousands of dollars for two types of remodeling projects are as
follows.
Kitchen
Master
Bedroom
26.2
19.0
18.4
23.9
24.8
27.4
23.9
25.8
21.7
27.9
25.0
18.8
20.7
25.6
17.9
22.0
22.8
24.6
(a) Develop a point estimate of the difference (in thousands of...

You may need to use the appropriate appendix table or technology to
answer this question.
Studies show that massage therapy has a variety of health benefits
and it is not too expensive. A sample of 11 typical one-hour massage therapy
sessions showed an average charge of $51. The population standard
deviation for a one-hour session is
σ = $7.5.
(a)
What assumptions about the population should we be willing to make
if a margin of error is desired?
We should...

You may need to use the appropriate appendix table or technology
to answer this question.
The Economic Policy Institute periodically issues reports on
wages of entry level workers. The institute reported that entry
level wages for male college graduates were $21.68 per hour and for
female college graduates were $18.80 per hour in 2011.† Assume the
standard deviation for male graduates is $2.30, and for female
graduates it is $2.05. (Round your answers to four decimal
places.)
(a)
What is...

A simple random sample with n=50 provided a sample mean of 22.5
and a sample standard deviation of 4.2 .
a. Develop a 90% confidence interval for the
population mean (to 1 decimal).
( , )
b. Develop a 95% confidence interval for the
population mean (to 1 decimal).
( , )
c. Develop a 99% confidence interval for the
population mean (to 1 decimal).
( , )
d. What happens to the margin of error and the
confidence interval...

You may need to use the appropriate appendix table or technology
to answer this question. An air transport association surveys
business travelers to develop quality ratings for transatlantic
gateway airports. The maximum possible rating is 10. Suppose a
simple random sample of 50 business travelers is selected and each
traveler is asked to provide a rating for a certain airport. The
ratings obtained from the sample of 50 business travelers
follow.
6 4 6 8 7 7 6 3 3...

You may need to use the appropriate appendix table or technology
to answer this question.
A random sample of 49 SAT scores of students applying for merit
scholarships showed an average of 1400 with a standard deviation of
210. There are 48 degrees of freedom. Find the margin of error at
95% confidence.
A. 2.011
B. 8.617
C. 50.317
D. 60.319

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