Question

1. A statistician studies the average annual salary of professors in a local college in Florida. Based on a random sample of 33 professors in this college, we found the mean salary is 52,000, and standard deviation is 6,400. Construct a 99% confidence interval for the population’s mean annual salary.

**Based on another random sample of size 28, we found the
mean salary is 54,500, and if we know the standard deviation of all
professors in that college is 7,200. Construct a 84% confidence
interval for the population’s mean annual salary. State the
confidence statement.**

Answer #1

1. A statistician studies the average annual salary of
professors in a local college in Florida.
<a> Based on a random sample of 33 professors in this
college, we found the mean salary is 52,000, and standard deviation
is 6,400. Construct a 99% confidence interval for the population’s
mean annual salary.
<b> Based on another random sample of size 28, we found the
mean salary is 54,500, and if we know the standard deviation of all
professors in that college...

A study was made to estimate the
difference in salaries of college professors in the private and
state college of Virginia. A random sample of 100 professors in
private colleges showed an average 9 months salary of 25050.55 with
a standard deviation of 1098.62. A random sample of 200 professors
in state colleges showed an average salary of 26006.71 with a
standard deviation of 1362.17. Construct a 90% confidence interval
for the ratio of two variances.
Answer should be written...

A budding statistician wants to determine the average number of
songs college students
have on their playlist. They take a random sample of 26 students at
their university and find the
sample mean is 348 songs with a sample standard deviation of 22
songs.
a. Find a 90% confidence interval for the mean number of songs
college students have on their
playlist.
b. Interpret the confidence interval you found in part a.
c. State the assumptions needed for your confidence...

2. A random sample of 12 recent college graduates reported an
average starting salary of $54,000 with a standard deviation of
$6,000.
To construct a 95% confidence interval for the mean starting
salary of college graduates, what will be the margin of error?
Round to whole dollars.

6. A random sample of 80 federal government workers found that
the average annual salary for federal government employees in Iowa
was $51,340 during 2019. Assuming the population standard deviation
was σ = $5000 and that we want to use a 99% confidence interval to
answer the following questions. (a) What is the margin of error?
(b) What is the confidence interval for the average annual salary
for federal employees?
Question 1 margin of error
Question 2 confidence interval for...

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...

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...

1) The average annual salary based on a sample of 36 school
administrators is $58,940, with a standard deviation of $18,490.
(Please label your ans. a, b, c etc) a) Find the 95% confidence
interval for the population mean annual salary of school
administrators. b) What is the Margin of Error from part a? c) If
the sample size is increased to 100, will the margin of error
increase or decrease in part a?

The mean annual salary of a sample of 400 Chief Investment
Officers (CIOs) in Canada is $215,620 with a standard deviation of
$38,790. Calculate the margin of error and construct the 98%
confidence interval for the true population mean salary for CIOs in
Canada.

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