Question

**A study was conducted to estimate the difference in the mean salaries of elementary school teachers from two neighboring states. A sample of 10 teachers from the Indiana had a mean salary of $28,900 with a standard deviation of $2300. A sample of 14 teachers from Michigan had a mean salary of $30,300 with a standard deviation of $2100. Determine a 95% confidence interval for the difference between the mean salary in Indiana and Michigan.(Assume population variances are different.) write all the step**

Answer #1

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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.

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.
Construct a 95% confidence interval for u1 - u2.
A) (-2871, 567) B) (-2054,238 C) (-3125, 325) D) (-4081,
597)

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 ,...

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 researcher claims that the mean of the salaries of elementary
school teachers is greater than the mean of the salaries of
secondary school teachers in a large school district. The mean of
the salaries of a random sample of 26 elementary school teachers is
$49,099, and the sample standard deviation is $3,839.99. The mean
of the salaries of a random sample of 24 secondary school teachers
is $45,609. The sample standard deviation is $5,407. At α = 0.05,
can...

Assume that the salaries of elementary school teachers in the
United States are normally distributed with a mean of $28,000 and a
standard deviation of $3000.
What is the cutoff salary for teachers in the bottom 10%?

Assume that the salaries of elementary school teachers
in the United States are normally distributed with a mean of 32,000
and a standard deviation of 3,000. If 100 teachers are randomly
selected, find the probability that their mean salary is less than
32,000.

Assume that the salaries of elementary school teachers in the
U.S are normally distributed with a mean of $35,000 and a standard
deviation of $4000. What is the cutoff salary for teachers in the
top 30%

Salaries for teachers in a particular elementary school district
are normally distributed with a mean of $45,000 and a standard
deviation of $6,100. We randomly survey ten teachers from that
district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual teacher's salary.
$
(b) Find the 90th percentile for the average teacher's salary.
$

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