Question

A pediatrician has three patients with measles and they are ages 2, 4, and 12. Assume that samples of size nequals2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts (a) through (d) below.

2,2 2,4 2,12 4,2 4,4 4,12 12,2 12,4 12,12

a. Find the value of the population standard deviation sigma.

**sigma =**

(Round to three decimal places as needed.)

b. Find the standard deviation of each of the nine samples and then summarize the sampling distribution of the standard deviations in the format of a table representing the probability distribution.

c. Find the mean of the sampling distribution of the sample standard deviations. The mean of the sample standard deviations is the sum of the nine sample standard deviations divided by the number of samples.

d. Based on the preceding results, is the sample standard deviation an unbiased estimator of the population standard deviation? Why or why not?

Answer #1

Assume a population of 1, 2, and 12. Assume that samples of
size n equals 2 are randomly selected with replacement from the
population. Listed below are the nine different samples. Complete
parts a through d below. 1,1 1,2 1,12 2,1 2,2 2,12 12,1
12,2 12,12
a. Find the value of the population standard deviation
b. Find the standard deviation of each of the nine samples, then
summarise the sampling distribution of the standard deviations in
the format of a...

Assume a population of 2, 5 and 9. Assume that samples of size n
= 2 are randomly selected with replacement from the population.
Listed below are the nine different samples. Complete parts through
d below.
4,4 4,5 4,9 5,4
5,5 5,9
9,4 9,5
9,9
A.) Find the value of the population standard deviation
B.) Find the standard deviation of each of the nine samples,
then summarize the sampling distribution of the standard deviations
in the format of a table...

Three randomly selected households are surveyed. The numbers of
people in the households are 2, 4, and 12. Assume that samples of
size nequals2 are randomly selected with replacement from the
population of 2, 4, and 12. Listed below are the nine different
samples. Complete parts (a) through (c).
2,2 2,4 2,12 4,2 4,4 4,12 12,2 12,4 12,12
a. Find the variance of each of the nine samples, then summarize
the sampling distribution of the variances in the format of...

1) Three randomly selected households are surveyed. The numbers
of people in the households are 2, 7, and 12. Assume that samples
of size nequals2 are randomly selected with replacement from the
population of 2, 7, and 12. Construct a probability distribution
table that describes the sampling distribution of the proportion of
even numbers when samples of sizes nequals2 are randomly selected.
Does the mean of the sample proportions equal the proportion of
even numbers in the population? Do the...

Three randomly selected households are surveyed. The numbers of
people in the households are 2, 4 and 9. Assume that samples of
size n = 2 are randomly selected with replacement from the
population of 2, 4 and 9. Listed below are nine different
samples.
2,2
2,4
2,9 4,2
4,4 4,9
9,2 9,4 9,9
A. ) Find the variance of each of the nine samples, then
summarize the sampling distribution of the variances in the format
of a table representing...

Three randomly selected households are surveyed. The numbers of
people in the households are
2,
4,
and
12.
Assume that samples of size
nequals=2
are randomly selected with replacement from the population
of
2,
4,
and
12.
Listed below are the nine different samples. Complete parts (a)
through (c).
2,2,
2,4,
2,12
4,12
12,2
12,4
12,12
a. Find the variance of each of the nine samples, then
summarize the sampling distribution of the variances in the format
of a...

Three randomly selected households are surveyed. The numbers of
people in the households are 4, 5, and 9. Assume that samples of
size n = 2 are randomly selected with replacement from the
population consisting of 4, 5 and 9. Listed below are the nine
different samples.
4,4 4,5
4,9
5,4 5,5 5,9
9,4 9,5 9,9
A. ) Find the median of each nine samples then summarize the
sampling distribution of the medians in the format of a table
representing the...

Three randomly selected households are surveyed. The numbers of
people in the households are 1, 2, and 12. Assume that samples of
size nequals2 are randomly selected with replacement from the
population of 1, 2, and 12. Construct a probability distribution
table that describes the sampling distribution of the proportion of
odd numbers when samples of sizes nequals2 are randomly selected.
Does the mean of the sample proportions equal the proportion of odd
numbers in the population? Do the sample...

HW6#14
Three randomly selected households are surveyed. The numbers of
people in the households are 2, 3, and 10.
Assume that samples of size n=2
are randomly selected with replacement from the population of 2,
3,and 10.
Listed below are the nine different samples. Complete parts (a)
through (c).
2,2
2,3
2,10
3,2
3,3
3,10
10,2
10,3
10,10
A. Find the median of each of the nine samples, then summarize
the sampling distribution of the medians in the format of...

Three randomly selected households are surveyed. The numbers of
people in the households are 22, 44, and 12. Assume that samples
of size nequals=2 are randomly selected with replacement from the
population of 2, 4, and 12. Listed below are the nine different
samples. Complete parts (a) through (c).
22,, 2,4 2,12 4,2 4,4 4,12 12,2 12,4 12,12 a.
Find the median of each of the nine samples, then summarize the
sampling distribution of the medians in the format of...

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