Question

Please answer all the questions

Directions: Find the mean and standard deviation of the sampling distribution of sample means using the given information. (Note: tilde sign (~) means approximately)

1. µ = 35 and σ = 9; n = 64

- µ
_{x}= 35 and σ_{x}= ~1.1 - µ
_{x}= 53 and σ_{x}= ~1.9 - µ
_{x}= 8 and σ_{x}= ~64

D. None of the above

2. µ = 28 and σ = 6; n = 81

- µ
_{x}= 10 and σ_{x}= ~0.7 - µ
_{x}= 14 and σ_{x}= ~0.9 - µ
_{x}= 28 and σ_{x}= ~0.7 - None of the above

3. µ = 12 and σ = 2.3; n = 36

- µ
_{x}= 13 and σ_{x}= ~0.78 - µ
_{x}= 12 and σ_{x}= ~0.85 - µ
_{x}= 21 and σ_{x}= ~0.90 - µ
_{x}= 12 and σ_{x}= ~0.38

4. µ = 9.5 and σ = 10; n = 39

- µ
_{x}= 10.5 and σ_{x}= ~1.40 - µ
_{x}= 5.9 and σ_{x}= ~1.00 - µ
_{x}= 6.5 and σ_{x}= ~1.40 - µ
_{x}= 9.5 and σ_{x}= ~1.60

5. A study of the latest diet fad claimed the amount of weight lost by all people on this diet varied by a standard deviation of 5.8 pounds. If a sampling distribution is created using samples of size 100, what would be the standard deviation of the sampling distribution of the sampling means?

- σ
_{x}= ~0.58 - σ
_{x}= ~0.02 - σ
_{x}= ~0.89 - σ
_{x}= ~0.23

Answer #1

A population has a mean muμequals=75 and a standard deviation
sigmaσequals=24. Find the mean and standard deviation of a sampling
distribution of sample means with sample size nequals=64.
μx=__
(Simplify your answer.)
σx=___
(Simplify your answer.)

Find the standard deviation of the sampling distribution of
sample means using the given informationRound to one decimal place,
if necessary mu=67 ando sigma=12.n=36

Suppose x has a normal distribution with mean μ = 16 and
standard deviation σ = 11. Describe the distribution of x values
for sample size n = 4. (Round σx to two decimal places.)
μx = σx = Describe the distribution of x values for sample size
n = 16. (Round σx to two decimal places.)
μx = σx = Describe the distribution of x values for sample size
n = 100. (Round σx to two decimal places.)
μx...

Suppose x has a normal distribution with mean μ = 26 and
standard deviation σ = 6. Describe the distribution of x values for
sample size n = 4. (Round σx to two decimal places.) μx = σx =
Describe the distribution of x values for sample size n = 16.
(Round σx to two decimal places.) μx = σx = Describe the
distribution of x values for sample size n = 100. (Round σx to two
decimal places.) μx...

Suppose x has a normal distribution with mean
μ = 31 and standard deviation σ = 11.
Describe the distribution of x values for sample size
n = 4. (Round σx to two
decimal places.)
μx
=
σx
=
Describe the distribution of x values for sample size
n = 16. (Round σx to two
decimal places.)
μx
=
σx
=
Describe the distribution of x values for sample size
n = 100. (Round σx to two
decimal places.)
μx...

Suppose x has a normal distribution with mean μ = 52 and
standard deviation σ = 4. Describe the distribution of x values for
sample size n = 4. (Round σx to two decimal places.) μx = σx =
Describe the distribution of x values for sample size n = 16.
(Round σx to two decimal places.) μx = σx = Describe the
distribution of x values for sample size n = 100. (Round σx to two
decimal places.) μx...

Suppose x has a normal distribution with mean
μ = 57 and standard deviation σ = 7.
Describe the distribution of x values for sample size
n = 4. (Round σx to two
decimal places.)
μx
σx
Describe the distribution of x values for sample size
n = 16. (Round σx to two
decimal places.)
μx
σx
Describe the distribution of x values for sample size
n = 100. (Round σx to two
decimal places.)
μx
σx
How do the...

A population has a mean μ=78 and a standard deviation σ=22. Find
the mean and standard deviation of a sampling distribution of
sample means with sample size
n=264.
μx= ?????

Given a population with a mean of µ = 230 and a standard
deviation σ = 35, assume the central limit theorem applies when the
sample size is n ≥ 25. A random sample of size n = 185 is obtained.
Calculate σx⎯⎯

A population has a mean mu equals=75 and a standard deviation
sigmaσequals=8. Find the mean and standard deviation of a sampling
distribution ( muμx &) of sample means with sample size
n=64

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