Question

suppose a random sample of n measurements is selected from a
binomial population with probability of success p=0.31. given
n=300.

describe the shape, and find the mean and the standard deviation of
the sampling distribution of the sample proportion

Answer #1

Suppose a random sample of n measurements is selected from a
binomial population with probability of success p = .38. Given n =
300, describe the shape, and find the mean and the standard
deviation of the sampling distribution of the sample
proportion, .

A random sample of size n = 50 is selected from a
binomial distribution with population proportion
p = 0.8.
Describe the approximate shape of the sampling distribution of
p̂.
Calculate the mean and standard deviation (or standard error) of
the sampling distribution of p̂. (Round your standard
deviation to four decimal places.)
mean =
standard deviation =
Find the probability that the sample proportion p̂ is
less than 0.9. (Round your answer to four decimal places.)

Suppose a random sample of n=36 measurements is selected from a
population with mean u=256 and variance o^2=144.
a. Describe the sampling distribution of the sample mean x bar.
(Hint: describe the shape, calculate the mean and the standard
deviation of the sampling distribution of x bar.
b. What is the probability that the sample mean is greater than
261?

A random sample of size n = 40 is selected from a binomial
distribution with population proportion p = 0.25. (a) What will be
the approximate shape of the sampling distribution of p̂?
approximately normal skewed symmetric Correct: Your answer is
correct. (b) What will be the mean and standard deviation (or
standard error) of the sampling distribution of p̂? (Round your
answers to four decimal places.) mean 0.25 Correct: Your answer is
correct. standard deviation 0.0685 Correct: Your answer...

Suppose a random sample of n = 118 measurements is selected from
a population with mean μ = 26 and standard deviation σ = 3. Find
the value of the standard error rounded to one decimal place.

Suppose a random sample of n = 25 observations is
selected from a population that is normally distributed with mean
equal to 108 and standard deviation equal to 14.
(a) Give the mean and the standard deviation of the sampling
distribution of the sample mean
x.
mean
standard deviation
(b) Find the probability that
x
exceeds 113. (Round your answer to four decimal places.)
(c) Find the probability that the sample mean deviates from the
population mean ? = 108...

Suppose a random sample of n = 16 observations is selected from
a population that is normally distributed with mean equal to 102
and standard deviation equal to 10.
a) Give the mean and the standard deviation of the sampling
distribution of the sample mean x.
mean =
standard deviation =
b) Find the probability that x exceeds 106. (Round your
answer to four decimal places.)
c) Find the probability that the sample mean deviates from the
population mean μ...

Suppose that we will randomly select a sample of n = 88 elements
from a population and that we will compute the sample proportion of
these elements that fall into a category of interest. If the true
population proportion p equals .9: (a) Describe the shape of the
sampling distribution of . Why can we validly describe the shape?
(b) Find the mean and the standard deviation of the sampling
distribution of . (Round the answers to 2 decimal places.)

Suppose that we will randomly select a sample of n =
117 elements from a population and that we will compute the sample
proportion
of these elements that fall into a category of
interest. If the true population proportion p equals
.7:
(a) Describe the shape of the sampling
distribution of
. Why can we validly describe the shape?
(b) Find the mean and the standard deviation of
the sampling distribution of
. (Round the answers to 2 decimal places.)

31) – (33): A random sample of size n = 40 is selected from a
population that has a proportion of successes p = 0.8.
31) Determine the mean proportion of the sampling distribution
of the sample proportion.
32) Determine the standard deviation of the sampling
distribution of the sample proportion, to 3 decimal places.
33) True or False? The sampling distribution of the sample
proportion is approximately normal.

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