Question

A sample of 100 college graduates is obtained and the mean
salary is found to be $ 43704 with a standard

deviation of $9879. Find the margin error E associated with a 95%
C. I.

Answer #1

Z for 95% confidence interval = Z_{0.025} = 1.96

Margin of error, E = Z_{0.025} * sd / sqrt(n)

= 1.96 * 9879 / sqrt(100)

= 1936.284 (ans)

2. A random sample of 12 recent college graduates reported an
average starting salary of $54,000 with a standard deviation of
$6,000.
To construct a 95% confidence interval for the mean starting
salary of college graduates, what will be the margin of error?
Round to whole dollars.

Suppose a 95% confidence interval for the mean salary of college
graduates in a town in Mississippi is given by [$36,815, $43,185].
The population standard deviation used for the analysis is known to
be $13,000. [You may find it useful to reference the z table.] a.
What is the point estimate of the mean salary for all college
graduates in this town? b. Determine the sample size used for the
analysis. (Round "z" value to 3 decimal places and final...

7. Suppose that the starting annual salary in April 2013 for new
college graduates who found full time employment is normally
distributed with a mean of $48,181 and a standard deviation of
$3,708. Find the starting annual salary x0 such that 20% of new
college graduates who found full time employment in April 2013
earned less than x0

Annual starting salaries for college graduates with degrees
in
business administration are generally expected to be between
$30,000 and
$45,000. Assume that a 95% confidence interval estimate of the
population mean annual starting salary is desired.
a. What is the planning value for the population standard
deviation?
How large a sample should be taken if the desired margin of error
is
b.$500?
c.$200?
d.$100?
e.Would you recommend trying to obtain the $100 margin of error?
Explain.

Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $10,000 and $35,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. Given the information in the Microsoft Excel Online file below, construct a spreadsheet to determine how large a sample should be taken for each desired margin of error.
Annual starting salaries for college graduates with degrees in
business administration are generally expected to be...

Annual starting salaries for college graduates with degrees in
business administration are generally expected to be between
$41,000 and $55,200. 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 desired margin of
error is $600?
(b)
How large a sample should be taken if...

Annual starting salaries for college graduates with degrees in
business administration are generally expected to be between
$32,000 and $50,600. 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 desired margin of
error is $500?
(b)
How large a sample should be taken if...

4)
Assume that IQ scores of college graduates are normally
distributed. A researcher collects a random sample of 21 college
graduates and tests their IQ. The sample had a mean IQ of 109 with
a standard deviation of 15.1.
a) Find a 95% confidence interval for the true mean IQ for
college graduates.
b) Provide the margin of error of the interval
as your answer.
Round your answer to 1 decimal place.

The average salary for American college graduates is $42,400.
You suspect that the average is less for graduates from your
college. The 59 randomly selected graduates from your college had
an average salary of $41,616 and a standard deviation of $8,550.
What can be concluded at the αα = 0.10 level of significance?
For this study, we should use Select an answer t-test for a
population mean z-test for a population proportion
The null and alternative hypotheses would be:
H0:H0: ?...

Starting Salary Problem
In 2013, the mean starting salary for college graduates who major
in Social Work was $45,000. An analyst for a job searching company
claims that the mean starting salary has since decreased. In a
random sample of 38 job posting for social workers, the mean
starting salary was $43,200 with a standard deviation of $9,340.
Test the claim using a significance level of 0.10.
Determine the p-value.
Round your answer to 4 decimal places.

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