Question
In: Statistics and Probability
Assume that a population of size 5 specifies that all possible samples of size "3" are...
Assume that a population of size 5 specifies that all possible
samples of size "3" are extracted without repetition.
Values:
2,500.00
2,650.00
2,790.00
3,125.00
3,200.00
1) Show that the expected value of the standard sampling error
is greater than the standard deviation of the population.
2) Calculate the confidence interval of the sample means with
a significance level of 80% and indicate which samples are not
representative and develop an analysis.
3) Select the non-representative samples and calculate the
mean of the population mean with a level of significance of 80% and
develop an analysis.
*
confidence level
Solutions
Expert Solution
Expected standard sampling error = 1/10 * 2935.1511612356
= 293.5151
hence
E(S) > 
orchestra answered 2 years agoRelated Solutions
Assume that a population of size 5 specifies that all possible samples of size "3" are...
Assume that a population of size 5 specifies that all possible
samples of size "3" are extracted without repetition.
Values:
2,500.00
2,650.00
2,790.00
3,125.00
3,200.00
1. Show that the expected value of the standard sampling error
is greater than the standard deviation of the universe.
2. Select a sample and calculate the mean of the universe mean
with a confidence level of 84% and develop an analysis.
7. Use the population of {1, 3, 7}. Assume that the random samples of size n...
7. Use the population of {1, 3, 7}. Assume that the random
samples of size n = 2 Construct a sampling distribution of the
sample mean. After identifying the 9 different possible samples
(with replacement), find the mean of each sample, then construct a
table representing the sample the sampling distribution of the
sample mean. In the table, combine values of the sample mean that
are the same. (Hint: condense the table similar to examples
presented in class.)
a. Sample...
Let the population be given by the numbers {-2,-1,0,1,2}. Take all random samples of size 3...
Let the population be given by the numbers {-2,-1,0,1,2}. Take
all random samples of size 3 without replacement and obtain the
sampling distribution of the sample mean.
[10 Marks]
7. Assume a population of 46, 51, 53, and 59. Assume that samples of size n=2...
7. Assume a population of 46, 51, 53, and 59. Assume that
samples of size n=2 are randomly selected with replacement from the
population. Listed below are the sixteen different samples.
Complete parts
(a) through (c).
Sample x1 x2
1
46 46
2
46 51
3
46 53
4
46 59
5
51 46
6
51 51
7
51 53
8
51 59
9
53 46
10
53 51
11
53 53
12
53 59
13
59 46
14
59 ...
Use the population {3,4,6} and assume that samples of size 2 are randomly selected, with replacement....
Use the population {3,4,6} and assume that samples of size 2 are
randomly selected, with replacement.
?) For the population, find the proportion of odd numbers
?) Construct a table for the sampling distribution of the sample
proportions of odd numbers.
?) Find the mean of the sampling distribution of the sample
proportion of odd numbers.
?) Is the sample proportion an unbiased estimator or a biased
estimator of the population proportion? why?
use the population {3,4,6} and assume that samples of size 2 are randomly selected, with replacement....
use
the population {3,4,6} and assume that samples of size 2 are
randomly selected, with replacement. a) for the population, find
the proportion of odd numbers. b) construct a table for sampling
distribution of the sample proportion of odd numbers. c) find the
mean of sampling distribution of the sample proportion of odd
numbers. d) is the sample proportion and unbiased estmator or.
biased estimator of the population? Why?
For all possible samples of 18 values taken from a population with a mean of −36.33...
For all possible samples of 18 values taken from a population
with a mean of −36.33 and a standard deviation of 15.26
P(X(mean) > -33.38)=?
1. List all possible samples of n=2 from the following population {1,2,3,5,6,7} (note that there is...
1. List all possible samples of n=2 from the following
population {1,2,3,5,6,7} (note that there is no number 4 in the
population). Assume that those numbers represent the years of age
of six different people. Create a sampling distribution of the 15
different sample means based on each possible pair (e.g., the
sample {2,1} represents on possible such pair). Assume further that
the order of the numbers does not matter (e.g., the pair {1,2} is
the same as the pair...
Suppose samples of size 100 are drawn randomly from a population of size 1000 and the...
Suppose samples of size 100 are drawn randomly from a population
of size 1000 and the population has a mean of 20 and a standard
deviation of 5. What is the probability of observing a sample mean
equal to or greater than 21?
Assume a population of 1,2 and 12. assume the sample size of size n = 2...
Assume a population of 1,2 and 12. assume the sample size of
size n = 2 are randomly selected with replacement from the
population. listed below are the nine different sample. 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 the
summarize the sampling distribution of the standard deviation in
the format of a...
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