Question

Assume you begin with some distribution of data. Now, take many, many samples of size n and create a distribution of sample means from these samples.

1. What will happen to the mean of the new distribution as n gets larger and larger?

2. What will happen to the standard deviation of the new distribution as n gets larger and larger?

Answer #1

Consider a sampling distribution with
p equals 0.13p=0.13
and samples of size n each. Using the appropriate formulas,
find the mean and the standard deviation of the sampling
distribution of the sample proportion.
a. For a random sample of size n=5000.
The standard deviation is ____ (Round to four decimal places as
needed)
b. For a random sample of size n=1000.
The standard deviation is ____ (Round to four decimal places as
needed)
c. For a random sample of size...

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...

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...

andom samples of size n = 2 are drawn from a finite population
that consists of the numbers 2,4,6, and 8. a) calculate the mean
and the standard deviation of this population. b) list the six
possible random samples of size n = 2 that can be drawn from this
population and calculate their means. c) Use the results of part
(b) to construct the sampling distribution of the mean for random
samples of size n =2 from the given...

Samples of n = 25 scores are selected from a population. If the
distribution of sample means has an expected value of 50 and a
standard error of 2, what are the mean and the standard deviation
for the population?

Suppose we repeatedly take samples of size 100 from the
population distribution, calculate a sample mean each time, and
plot those sample means in a histogram. The histogram we created
would be an example of a (variable, population, distribution,
sampling distribution???) . According to the central limit theorem,
the histogram would have a shape that is approximately (left
skewed, right skewed or normal???) , with mean (give a
number???) and standard deviation (give a number??). The
standard deviation of the statistic under...

If random samples of size 11 are drawn from a population with
mean 7 and standard deviation 2 , find the standard error of the
distribution of sample means.
Round your answer to three decimal places, if necessary.
standard error =
Assume the sample is a random sample from a distribution that is
reasonably normally distributed and we are doing inference for a
sample mean. Find endpoints of a t-distribution with 1%
beyond them in each tail if the sample...

Samples of n = 16 scores are selected from a population. If the
distribution of sample means has an expected value of 40 and a
standard error of 2, what is the mean and the standard deviation
for the population?
***please provide step by step details

i.Bias of Sample Mean Draw 20 samples from the normal
distribution N(5, 4). Compute the mean of your 20 samples. Report
the bias of the sample mean
ii. Variance of Sample Mean (Continue of problem i) To estimate
the variance of the sample mean, we need to draw many different
samples of size 20. Now, we draw 1000 times a sample of size 20.
Store all the 1000 sample means. Report the variance of the
estimated sample mean. Hint: To...

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...

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