Question

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 = σx = How do the x distributions compare for the various samples sizes?

The means are the same, but the standard deviations are decreasing with increasing sample size.

The standard deviations are the same, but the means are decreasing with increasing sample size.

The means and standard deviations are the same regardless of sample size.

The standard deviations are the same, but the means are increasing with increasing sample size.

The means are the same, but the standard deviations are increasing with increasing sample size.

Answer #1

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The means are the same, but the standard deviations are decreasing with increasing sample size.

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 = 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 = 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 = 45 and
standard deviation σ = 10.
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 distribution with μ = 29 and
σ = 24.
(a)
If a random sample of size n = 31 is drawn, find
μx, σx
and P(29 ≤ x ≤ 31). (Round
σx to two decimal places and the
probability to three decimal places.)
μx=σx=P(29
≤ x ≤ 31)=
(b)
If a random sample of size n = 72 is drawn, find
μx, σx
and P(29 ≤ x ≤ 31). (Round
σx to two decimal places and...

Suppose x has a distribution with μ = 12 and
σ = 8.
(a) If a random sample of size n = 34 is drawn, find
μx, σx
and P(12 ≤ x ≤ 14). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(12 ≤ x ≤ 14) =
(b) If a random sample of size n = 58 is drawn, find
μx, σx
and P(12 ≤ x ≤ 14). (Round
σx...

Suppose x has a distribution with μ = 22 and
σ = 18.
(a) If a random sample of size n = 35 is drawn, find
μx, σx
and P(22 ≤ x ≤ 24). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(22 ≤ x ≤ 24) =
(b) If a random sample of size n = 60 is drawn, find
μx, σx
and P(22 ≤ x ≤ 24). (Round
σx...

Suppose x has a distribution with μ = 21 and
σ = 15.
(a) If a random sample of size n = 36 is drawn, find
μx, σx
and P(21 ≤ x ≤ 23). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(21 ≤ x ≤ 23) =
(b) If a random sample of size n = 60 is drawn, find
μx, σx
and P(21 ≤ x ≤ 23). (Round
σx...

Suppose x has a distribution with μ = 15 and σ = 12.
(a) If a random sample of size n = 32 is drawn, find μx, σ x and
P(15 ≤ x ≤ 17). (Round σx to two decimal places and the probability
to four decimal places.)
μx =
σ x =
P(15 ≤ x ≤ 17) =
(b) If a random sample of size n = 57 is drawn, find μx, σ x and
P(15 ≤ x ≤...

Suppose x has a distribution with μ = 23 and σ = 15.
(a) If a random sample of size n = 32 is drawn, find μx, σ x and
P(23 ≤ x ≤ 25). (Round σx to two decimal places and the probability
to four decimal places.) μx = σ x = P(23 ≤ x ≤ 25) =
(b) If a random sample of size n = 73 is drawn, find μx, σ x and
P(23 ≤ x ≤...

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