Question
In: Math
The mean income per year of employees who produce internal and external newsletters and magazines for...
The mean income per year of employees who produce internal and external newsletters and magazines for corporations was reported to be $76300. These editors and designers work on corporate publications but not on marketing materials. As a result of poor economic conditions and oversupply, these corporate communications workers may be experiencing a decrease in salary. A random sample of 40 corporate communications workers revealed that x̄ = $73000. Conduct a hypothesis test to determine whether there is any evidence to suggest that the mean income per year of corporate communications workers has decreased. Assume that the population standard deviation is $6360. Please use the exact value (from R) for all critical values.
Test statistic = -3.2816
P-value = 0.0005160833
a. Calculate the appropriate 99% bound that is consistent with a one-sample z-test.
b. Interpret the bound calculated above.
c. If the employer also found a cheaper medical insurance that reduced the amount of money that the employees have to pay for health insurance by $1000 per year, in practical terms, are the employees really taking home less money than before? Please explain your answer.
d. Explain why parts the test statistic and p-value state the same thing as the calculated bound. That is, what in the first part is consistent with the second part.
Solutions
milcah answered 1 year agoRelated Solutions
The mean income per year of employees who produce internal and external newsletters and magazines for...
The mean income per year of employees who produce internal and
external newsletters and magazines for corporations was reported to
be $76300. These editors and designers work on corporate
publications but not on marketing materials. As a result of poor
economic conditions and oversupply, these corporate communications
workers may be experiencing a decrease in salary. A random sample
of 40 corporate communications workers revealed that x̄ = $73000.
Conduct a hypothesis test to determine whether there is any
evidence to...
The mean income per year of employees who produce internal and external newsletters and magazines for...
The mean income per year of employees who produce internal and
external newsletters and magazines for corporations was reported to
be $75500. These editors and designers work on corporate
publications but not on marketing materials. As a result of poor
economic conditions and oversupply, these corporate communications
workers may be experiencing a decrease in salary. A random sample
of 40 corporate communications workers revealed that x̄ = $72500.
Conduct a hypothesis test to determine whether there is any
evidence to...
The mean income per year of employees who produce internal and external newsletters and magazines for...
The mean income per year of employees
who produce internal and external newsletters and magazines for
corporations was reported to be $51,500. These editors and
designers work on corporate publications but not on marketing
materials. As a result of poor economic conditions and oversupply,
these corporate communications workers may be experiencing a
decrease in salary. A random sample of 38 corporate communications
workers revealed that x̄ = $49,762. Conduct a hypothesis test to
determine whether there is any evidence to...
when describing muscle what does external and internal mean?
when describing muscle what does external and internal mean?
The mean investment that employees put into their companies 401K per year is $10,000 with a...
The mean investment that employees put into their companies 401K
per year is $10,000 with a standard deviation of $500. Assuming the
investments follow a normal distribution, determine the
following.
a. What proportion of employees put between $9,500 and $11,000
into the 401K per year.
b. What proportion of employees put more than $11,500 into the
401K per year?
c. What proportion of employees put less than $11,000 into the
401K per year?
d. What proportion of employees put more...
Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year...
Taxes: The Internal Revenue Service reports
that the mean federal income tax paid in the year
2010
was
$8040
. Assume that the standard deviation is
$4700
. The IRS plans to draw a sample of
1000
tax returns to study the effect of a new tax law.
(a) What is the probability that the sample mean tax is less
than
$8000
? Round the answer to at least four decimal places.
The probability that the sample
mean tax is...
The Internal Revenue Service reports that the mean federal income tax paid in the year 2010...
The Internal Revenue Service reports that the mean federal
income tax paid in the year 2010 was $8040. Assume that the
standard deviation is $4600. The IRS plans to draw a 1000 sample of
tax returns to study the effect of new tax law.
A) What is the probability that the sample mean tax is less than
$8100? Round the answer to at least four decimal places. The
probability that the sample mean tax is less than $8100 is...?
B)...
the internal revenue service reports that the mean federal income tax paid in a recent year...
the
internal revenue service reports that the mean federal income tax
paid in a recent year was $8040. Assume that the standard deviation
is $5000. The irs plans to draw a sample of 1000 tax returns to
study the effect of a new law.
A) what is the probability that the sample mean tax is less
than $8000?
B) what is the probability that the sample mean tax is between
$7600 & $7900?
C) Find the 40th percentile of the...
Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year...
Taxes: The Internal Revenue Service reports that the mean
federal income tax paid in the year 2010 was $8040.
Assume that the standard deviation is $490. The IRS plans to draw a
sample of 1000 tax returns to study the
effect of a new tax law.
Part 1 of 5
(a) What is the probability that the sample mean tax is less than
$8200? Round the answer to at least four decimal places.
The probability that the sample mean tax...
The Internal Revenue Service reports that the mean federal income tax paid in the year 2010...
The Internal Revenue
Service reports that the mean federal income tax paid in the year
2010 was $8040. Assume that the standard deviation is $4800. The
IRS plans to draw a sample of 1000 tax returns to study the effect
of a new tax law.
What is the
probability that the sample mean tax is less than $1800?
What is the
probability that the sample mean tax between $7400 and $8000?
40th percentile of the
sample mean is ?
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