Question
In: Statistics and Probability
Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed...
Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys 44 entry level mechanical engineers and 56 entry level electrical engineers. Their mean salaries were $46,400 and $46,900, respectively. Their standard deviations were $3420 and $4210, respectively. Conduct a hypothesis test at the 5% level to determine if you agree that the mean entry- level mechanical engineering salary is lower than the mean entry-level electrical engineering salary. Let the subscript m = mechanical and e = electrical. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom. Round your answer to two decimal places.) Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) t = Part (f) What is the p-value? (Round your answer to four decimal places.)
Solutions
orchestra answered 2 years agoRelated Solutions
Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed...
Mean entry-level salaries for college graduates with mechanical
engineering degrees and electrical engineering degrees are believed
to be approximately the same. A recruiting office thinks that the
mean mechanical engineering salary is actually lower than the mean
electrical engineering salary. The recruiting office randomly
surveys 50 entry level mechanical engineers and 52 entry level
electrical engineers. Their mean salaries were $46,300 and $46,800,
respectively. Their standard deviations were $3440 and $4250,
respectively. Conduct a hypothesis test at the 5% level...
Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed...
Mean entry-level salaries for college graduates with mechanical
engineering degrees and electrical engineering degrees are believed
to be approximately the same. A recruiting office thinks that the
mean mechanical engineering salary is actually lower than the mean
electrical engineering salary. The recruiting office randomly
surveys 40 entry level mechanical engineers and 50 entry level
electrical engineers. Their mean salaries were $45,200 and $46,300,
respectively. Their sample standard deviations were $3,880 and
$4,190, respectively. Conduct a hypothesis test to determine if...
Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed...
Mean entry-level salaries for college graduates with mechanical
engineering degrees and electrical engineering degrees are believed
to be approximately the same. A recruiting office thinks that the
mean mechanical engineering salary is actually lower than the mean
electrical engineering salary. The recruiting office randomly
surveys 42 entry level mechanical engineers and 58entry level
electrical engineers. Their mean salaries were $46,300 and $46,800,
respectively. Their standard deviations were $3440 and $4220,
respectively. Conduct a hypothesis test at the 5% level to...
1. Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are...
1. Mean entry-level salaries for college graduates with
mechanical engineering degrees and electrical engineering degrees
are believed to be approximately the same. A recruiting office
thinks that the mean mechanical engineering salary is actually
lower than the mean electrical engineering salary. The recruiting
office randomly surveys 44 entry level mechanical engineers and 58
entry level electrical engineers. Their mean salaries were $46,300
and $46,900, respectively. Their standard deviations were $3420 and
$4230, respectively. Conduct a hypothesis test at the 5%...
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
$30,000 and $45,000. 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.
For a margin of error of ± $400 , the required sample size is
n =...
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
$40,000 and $54,200. 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...
Annual starting salaries for college graduates with degrees in
business administration are generally expected to be between
$10,000 and $50,000. Assume that a confidence interval estimate of
the population mean annual starting salary is desired.
a. What is the planning value for the population standard
deviation?
b. How large a sample should be taken if the desired margin of
error is $500? Round your answer to next whole number.
$230?
$140?
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
$10,000 and $50,000 . 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?
= ________
b. How large a sample should be taken if the
desired margin of error is $400? Round your answer
to next whole number.
_________
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
$33,000 and $48,000. 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.)
1) What is the planning value for the population standard
deviation?
2) How large a sample should be taken if the desired margin of
error is $600?
3) How large a sample should be taken...
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
$39,000 and $57,600. 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 the desired...
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