Question

Employees in a large accounting firm claim that the mean salary of the firm’s accountants is less than that of its competitor’s which is $45,000. A random sample of 16 of the firm’s accountants has a mean salary of $43,500. Assume that the population standard deviation is $5200. Test the employees claim. What assumption is necessary for this test to be valid?

None. The Central Limit Theorem makes any assumptions unnecessary. |
||

The population of all salaries of the firm’s accountants is normally distributed because of the small sample size. |
||

The population variance must equal the population mean. |

Answer #1

A battery manufacturer advertises that the mean reserve capacity
of a certain battery is 1500 hours. You suspect that the batteries’
reserve time is less than the advertised value. To test this claim,
you randomly select a sample of 20 batteries and find the mean
reserve capacity to be 1320 hours. Assume that the population
standard deviation is 320 hours. Do you have enough evidence to
support the manufacturer’s claim? What assumption is necessary for
this test to be valid?...

Employees at a construction and mining company claim that the
mean salary of the company’s mechanical engineers is less than that
of the one of its competitors, which is $68,000. A random sample of
30 of the company’s mechanical engineers has a mean salary of
$66,900 with a standard deviation of $5500. At
α = 0.05, test the employees’ claim.

Exhibit 10-1
Salary information regarding male and female employees of a large
company is shown below.
Male
Female
Sample Size
64
36
Sample Mean Salary (in $1,000)
44
41
Population Variance
128
72
Refer to Exhibit 10-1. If you are interested in testing whether
or not the average salary of males is significantly greater than
that of females, using a 5% level of significance, the conclusion
is ( Use Excel)
Question 6 options:
A
the average salary of...

Salary information regarding male and female employees of a
large company is shown below.
Male Female
Sample Size: 64 36
Sample Mean Salary (in $1,000): 44 41
Population Variance: 128 72
1.) The standard error for the difference between the two means
is
2.) The point estimate of the difference between the means of
the two populations is
3.) At 95% confidence, the margin of error is
4.) The 95% confidence interval for the difference
between the means of the two...

Let x represent the average annual salary of college
and university professors (in thousands of dollars) in the United
States. For all colleges and universities in the United States, the
population variance of x is approximately
σ2 = 47.1. However, a random sample of 19
colleges and universities in Kansas showed that x has a
sample variance s2 = 77.0. Use a 5% level of
significance to test the claim that the variance for colleges and
universities in Kansas is...

Let x represent the average annual salary of college
and university professors (in thousands of dollars) in the United
States. For all colleges and universities in the United States, the
population variance of x is approximately
σ2 = 47.1. However, a random sample of 20
colleges and universities in Kansas showed that x has a
sample variance s2 = 84.0. Use a 5% level of
significance to test the claim that the variance for colleges and
universities in Kansas is...

Let x represent the average annual salary of college
and university professors (in thousands of dollars) in the United
States. For all colleges and universities in the United States, the
population variance of x is approximately
σ2 = 47.1. However, a random sample of 19
colleges and universities in Kansas showed that x has a
sample variance s2 = 77.0. Use a 5% level of
significance to test the claim that the variance for colleges and
universities in Kansas is...

Let x represent the average annual salary of college
and university professors (in thousands of dollars) in the United
States. For all colleges and universities in the United States, the
population variance of x is approximately
σ2 = 47.1. However, a random sample of 18
colleges and universities in Kansas showed that x has a
sample variance s2 = 78.4. Use a 5% level of
significance to test the claim that the variance for colleges and
universities in Kansas is...

QUESTION 1
In order to compare the mean length of advertising breaks of
two Irish TV networks: the mean length of breaks on network 1, μ
1, and the mean length of breaks on network 2, μ
2, independent random samples of ad-breaks are selected
from each network, and their lengths measured in minutes.
Descriptive statistics found for each sample of TV ad-breaks are
provided in the table below :
Group Statistics
GROUP
n
Mean
Std. Deviation
AdbreakLength
network 1...

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