Question

In a study of annual salaries of employees, random samples were selected from two companies to test if there is a difference in average salaries. For Company "X", the sample was size 65, the sample mean was $47,000 and the population standard deviation is assumed to be $11,000. For Company "Y", the sample size was 55, the sample mean was $44,000 and the population standard deviation is assumed to be $10,000. Test for a difference in average salaries at a 5% level of significance. What is your conclusion?

Answer #1

In a study of annual salaries of employees, random samples were
selected from two companies to test if there is a difference in
average salaries. For Company "X", the sample was size 65, the
sample mean was $47,000 and the population standard deviation is
assumed to be $11,000. For Company "Y", the sample size was 55, the
sample mean was $44,000 and the population standard deviation is
assumed to be $10,000. Test for a difference in average salaries at
a...

A study was conducted to determine if the salaries of librarians
from two neighboring states were equal. A sample of 100 librarians
from each state was randomly selected. The mean from the first
state was $29,800 with a standard deviation of $2,200. The mean
from the second state was $31,400 with a standard deviation of
$2,150. Test the hypothesis that there is no difference in the
salaries from both states at the 0.05 significance level.
Determine the test statistic. Round...

A study was conducted to determine if the salaries of librarians
from two neighboring cities were equal. A sample of 15 librarians
from each city was randomly selected. The mean from the first city
was $28,900 with a standard deviation of $2300. The mean from the
second city was $30,300 with a standard deviation of $2100. Test
the hypothesis that the salaries from both cities are equal. Use α
= 0.025.
State the null and alternative hypotheses. p value ,...

Random samples of size 78 were selected from a population with
mean 137 and standard deviation 4.2.
A.) What is the mean of the sample means ( x )?
B.) What is the standard deviation of the sample means ( x
)?

Random samples of size 78 were selected from a population with
mean 137 and standard deviation 4.2.
A.) What is the mean of the sample means ( x )?
B.) What is the standard deviation of the sample means ( x
)?

Salary data from two random samples of high school teachers are
shown to the right. Also shown are the population standard
deviations.
Construct a 90% confidence interval to estimate the difference
in the average salaries of the high school teachers in these two
states.
b. Based on the results in part? a, can you
conclude that a difference exists in the average? salaries?
state A
state B
sample mean
52,236
57,231
sample size
43
49
population standard deviation
6207
6671...

A study was conducted to determine if the salaries of librarians
from two neighboring cities were equal. Asample of 15 librarians
from each city was randomly selected. The mean from the first city
was $28,900 with astandard deviation of $2300. The mean from the
second city was $30,300 with a standard deviation of $2100.Test the
hypothesis that the mean salaries from both cities are equal.
Assume not pooled case.
H0
H1
P-value
decision
conclusion

A study was conducted to determine if the salaries of elementary
school teachers from two neighboring states were equal. A sample of
100 teachers from each state was randomly selected. The mean from
the first state was $29,200 with a population standard deviation of
$2300. The mean from the second state was $30,600 with a population
standard deviation of $2100. Test the claim that the salaries from
both states are equal. Use α = 0.05.

A study was conducted to determine if the salaries of elementary
school teachers from two neighboring states were different. A
sample of 100 teachers from each state were randomly selected. The
mean from the first state was $34, 500 with a population standard
deviation of $2875. The mean from the second state was $35, 450
with a population standard deviation of $3200. Test the claim that
the salaries from both states are different. Use α = 0.01.

At a local store, 65 female employees were randomly selected and it
was found that their mean monthly income was $605 with a standard
deviation of $121.50. Seventy-five male employees were also
randomly selected and their mean monthly income was found to be
$677 with a standard deviation of $168.70. Test the hypothesis that
male employees have a higher monthly income than female employees.
Use α = 0.01.
Type the conclusion only for the hypothesis test (step 5).

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