Question

Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5.

(a) What are the mean and standard deviation of the sampling
distribution?

*μ*_{x} =

*σ*_{x} =

(b) What is the approximate probability that *x* will be
within 0.4 of the population mean *μ*? (Round your answer to
four decimal places.)

*P* =

(c) What is the approximate probability that *x* will differ
from *μ* by more than 0.8? (Round your answer to four
decimal places.)

*P* =

Answer #1

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Suppose that a random sample of size 64 is to be selected from a
population with mean 40 and standard deviation 5.
(a) What is the mean of the xbar sampling distribution? 40 What
is the standard deviation of the xbar sampling distribution?
.625
(b) What is the approximate probability that xbar will be within
0.5 of the population mean μ ?
(c) What is the approximate probability that xbar will differ
from μ by more than 0.7?

Suppose that a random sample of size 64 is to be selected from a
population with mean 40 and standard deviation 5.
(a) What is the mean of the xbar sampling distribution? =40
What is the standard deviation of the xbar sampling distribution
(to 3 decimal places)? =0.625
For parts b & c round to 4 decimal places:
(b) What is the probability that xbar will be within 0.5 of the
population mean μ ?
(c) What is the probability...

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 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...

A random sample is selected from a population with mean μ = 100
and standard deviation σ = 10.
Determine the mean and standard deviation of the x sampling
distribution for each of the following sample sizes. (Round the
answers to three decimal places.)
(a) n = 8 μ = σ =
(b) n = 14 μ = σ =
(c) n = 34 μ = σ =
(d) n = 55 μ = σ =
(f) n = 110...

A random sample of n = 25 is selected from a normal population
with mean μ = 101 and standard deviation σ = 13.
(a) Find the probability that x exceeds 108. (Round your answer
to four decimal places.)
(b) Find the probability that the sample mean deviates from the
population mean μ = 101 by no more than 3. (Round your answer to
four decimal places.)

A random sample of n = 25 is selected from a normal
population with mean
μ = 102
and standard deviation
σ = 11.
(a)
Find the probability that
x
exceeds 107. (Round your answer to four decimal places.)
(b)
Find the probability that the sample mean deviates from the
population mean μ = 102 by no more than 2. (Round your
answer to four decimal places.)
You may need to use the appropriate appendix table or technology
to answer...

Suppose a simple random sample of size n=200 is obtained from a
population whose size is N=10,000 and whose population proportion
with a specified characteristic is p=0.6.
Complete parts (a) through
(c) below.
(a) Describe the sampling distribution of
ModifyingAbove p with caretp.
Determine the mean of the sampling distribution of
ModifyingAbove p with caretp.
mu Subscript ModifyingAbove p with caret equals
μp=___
(Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution
of
sigma...

Suppose a simple random sample of size n is obtained from a
population whose size is N and whose population proportion with a
specified characteristic is Complete parts (a) through (c) below. =
1000 = 2,000,000 p = 0.25. Click here to view the standard normal
distribution table (page 1).7 Click here to view the standard
normal distribution table (page 2).8 (a) Describe the sampling
distribution of p. A. Approximately normal, μ and p = 0.25 σ p ≈
0.0137...

11. Random samples of size n = 80 were selected from a
binomial population with p = 0.2. Use the normal
distribution to approximate the following probability. (Round your
answer to four decimal places.)
P(p̂ ≤ 0.26)
12. Random samples of size n = 80 were selected from a
binomial population with p = 0.8. Use the normal
distribution to approximate the following probability. (Round your
answer to four decimal places.)
P(p̂ > 0.79)

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