Question

A random sample is drawn from a population with mean μ = 72 and standard deviation σ = 6.0. [You may find it useful to reference the z table.]

a. Is the sampling distribution of the sample mean with n = 17 and n = 45 normally distributed?

Yes, both the sample means will have a normal distribution.

No, both the sample means will not have a normal distribution.

No, only the sample mean with n = 17 will have a normal distribution.

No, only the sample mean with n = 45 will have a normal distribution.

b. Calculate the probability that the sample mean falls between 72 and 75 for n = 45.

Answer #1

A random sample is drawn from a population with mean μ
= 53 and standard deviation σ = 4.4. [You may find
it useful to reference the z table.]
a. Is the sampling distribution of the sample
mean with n = 13 and n = 38 normally
distributed?
Yes, both the sample means will have a normal distribution.
No, both the sample means will not have a normal
distribution.
No, only the sample mean with n = 13 will have...

A random sample is drawn from a population with mean μ
= 52 and standard deviation σ = 4.3.
a. Is the sampling distribution of the sample
mean with n = 13 and n = 39 normally
distributed?
Yes, both the sample means will have a normal distribution.
No, both the sample means will not have a normal
distribution.
No, only the sample mean with n = 13 will have a normal
distribution.
No, only the sample mean with n...

A random sample is drawn from a normally distributed population
with mean μ = 30 and standard deviation σ = 2.3.
[You may find it useful to reference the z
table.]
a. Are the sampling distribution of the sample
mean with n = 35 and n = 76 normally
distributed?
Yes, both the sample means will have a normal distribution.
No, both the sample means will not have a normal
distribution.
No, only the sample mean with n = 35...

A random sample is drawn from a normally distributed population
with mean μ = 25 and standard deviation σ =
1.5.
a. Are the sampling distributions of the sample
mean with n = 33 and n = 66 normally
distributed?
Yes, both the sample means will have a normal distribution.
No, both the sample means will not have a normal
distribution.
No, only the sample mean with n = 33 will have a normal
distribution.
No, only the sample mean...

If a population is distributed with a mean μ and a standard
deviation σ, then the distribution of sample means is
distributed
A) normally with mean μ and standard deviation σ.
B) normally with mean μ and standard deviation σ/√(n).
C) with mean μ and standard deviation σ.
D) with mean μ and standard deviation σ/√(n).

A simple random sample of size 11 is drawn from a normal
population whose standard deviation is σ=1.8. The sample mean is
¯x=26.8.
a.) Construct a 85% confidence level for μ. (Round answers to two
decimal place.)
margin of error:
lower limit:
upper limit:
b.) If the population were not normally distributed, what
conditions would need to be met? (Select all that apply.)
the population needs to be uniformly distributed
σ is unknown
simple random sample
large enough sample size...

A random sample is selected from a population with mean
μ = 102 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 = 12
μ =
σ =
(b) n = 13
μ =
σ =
(c) n = 37
μ =
σ =
(d) n = 70
μ =
σ =
(f) n = 140...

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 simple random sample of size n=40 is obtained from a
population with μ = 50 a n d σ = 4. Does the population
distribution need to be normally distributed for the sampling
distribution of x ¯ to be approximately normally distributed? Why
or why not? What is the mean and standard deviation of the sampling
distribution?

A population has a mean μ=40 and a standard deviation σ=4. What
is the standard deviation of the sampling distribution of the
sample means if the sample size is n=16?

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