Question

Given the following population:

8 10 14 16 18

a. Calculate the population mean and variance

b. List all the possible samples of size 2 and calculate their means (sampling is without replacement and order is not important)

c. Use your answer to part (b) to find the mean and the standard error of the mean

Answer #1

**Solution-**

**a)**

**b)**

**c) from samples mean and variance is
calculated-**

**standard error for samples = standard deviation /
√n**

**= √(5.73 /10)**

**= 0.76**

A population consists of the following five values: 11, 14, 15,
16, and 18.
List all samples of size 3, and compute the mean of each sample.
(Round your mean value to 2 decimal places.)
Sample
Values
Sum
Mean
1
2
3
4
5
6
7
8
9
10
Compute the mean of the distribution of sample means and the
population mean. Compare the two values. (Round your
answers to 2 decimal places.)
Sample means
Population means

Consider the population below.
36 18 19 15 26 36 27 28
25 37 14 27 14 26 14
The sample below was drawn from this population. Complete parts
a and b below.
26 36 14 25 14 27 18 14.
a. Compute the sampling error for the sample mean in this
situation.
The sampling error for the sample mean is____(Round to two
decimal places as needed.)
b. Determine the largest possible sampling error for this sample
of equals=8.
The...

Calculate the 95% confidence interval for the difference
(mu1-mu2) of two population means given the following sampling
results. Population 1: sample size = 18, sample mean = 26.66,
sample standard deviation = 1.04. Population 2: sample size = 15,
sample mean = 10.79, sample standard deviation = 1.71.

Calculate the 99% confidence interval for the difference
(mu1-mu2) of two population means given the following sampling
results. Population 1: sample size = 9, sample mean = 14.42, sample
standard deviation = 0.47. Population 2: sample size = 14, sample
mean = 10.78, sample standard deviation = 1.69.

Sampling with replacement
A researcher is interested in drawing a sample of potential
voters from a population of 10 individuals. She settles on a sample
size of 5, and sends out random invitations to 5 of the voters, by
picking their names randomly from a list. How many possible samples
could she draw from this population?
Sampling without replacement
The researcher realizes that she made a mistake! She
accidentally asked the selected some of the same voters more than
once....

At the end of every school year, the state administers a reading
test to a simple random sample drawn without replacement from a
population of 20,000 third graders. This year, the test was
administered to 8 students selected via simple random sampling. The
test score from each sampled student is shown below:
50, 55, 60, 62, 62, 65, 67, 67
Using sample data, estimate the mean reading achievement level in
the population.
Find the margin of error and the confidence...

A)Use population {3, 8, 10}. Assume that samples of size n = 2
are randomly selected with replacement. Construct a table
representing the sampling distribution of the sample mean.
B) Use population {3, 8, 10}. Assume that samples of size n = 2
are randomly selected with replacement. Find the mean of the
sampling distribution of the sample mean.
C) Three coins are flipped. Assume that for a single flip, a
Heads up is equally likely as Tails up. Construct...

Consider the following population data values.
14
41
0
20
30
10
16
a) Calculate the range.
b) Calculate the variance.
c) Calculate the standard deviation.
a) The range is
4141.
(Type an integer or a decimal.)b) The
population variance is
nothing.
(Type an integer or decimal rounded to two decimal places as
needed.)
c) The population standard deviation is
nothing.
(Type an integer or decimal rounded to two decimal places as
needed.)

Given the data set A = {5, 4, 16,
14, 2, 2, 11, 4, 5, 8, 3, 1, 12, 15, 13}, which is the data of a
sample taken from a larger population
Calculate the mean deviation (5 pts)
Calculate the variance (5 pt
Calculate the standard deviation (5 pts)

Calculate the 99% confidence interval for the difference
(mu1-mu2) of two population means given the following sampling
results. Population 1: sample size = 12, sample mean = 20.36,
sample standard deviation = 0.57. Population 2: sample size = 7,
sample mean = 16.32, sample standard deviation = 0.85.

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