Question

Suppose *x* has a distribution with *μ* = 24 and
*σ* = 11.

1. If random samples of size *n* = 16 are selected, can
we say anything about the *x* distribution of sample
means?

2. If the original *x* distribution is *normal*, can
we say anything about the *x* distribution of random samples
of size 16?

3. Find *P*(20 ≤ *x* ≤ 25). (Round your answer to
four decimal places.)

___________________

Answer #1

Suppose x has a distribution with μ = 75 and
σ = 8.
(a) If random samples of size n = 16 are selected, can
we say anything about the x distribution of sample
means?
No, the sample size is too small.Yes, the x
distribution is normal with mean μx =
75 and σx =
0.5. Yes, the x distribution is
normal with mean μx = 75 and
σx = 2.Yes, the x
distribution is normal with mean μx =
75...

6.5-4) Suppose x has a distribution with μ =
39 and σ = 20.
(a)If random samples of size n = 16 are selected, can
we say anything about the x distribution of sample
means?
Yes, the x distribution is normal with mean
μx = 39 and
σx = 5.
No, the sample size is too small.
Yes, the x distribution is normal with mean
μx = 39 and
σx = 1.3.
Yes, the x distribution is normal with mean...

Updated - exactly how it is asked
Suppose x has a distribution with μ = 59 and
σ = 8.
If the original x distribution is normal, can
we say anything about the x distribution of random samples of size
16?
Yes, the x distribution is normal with mean μ x = 59
and σ x = 0.5.Yes, the x distribution is normal with
mean μ x = 59 and σ x = Yes, the x
distribution is normal with...

Suppose x has a distribution with μ = 11 and σ = 9.
(a) If a random sample of size n = 48 is drawn, find μx, σ x and
P(11 ≤ x ≤ 13). (Round σx to two decimal places and the probability
to four decimal places.)
μx =
σ x =
P(11 ≤ x (x bar) ≤ 13) =
(b) If a random sample of size n = 63 is drawn, find μx, σ x and
P(11 ≤...

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 ≤...

Suppose x has a distribution with μ = 29 and σ = 25.
(a) If a random sample of size n = 41 is drawn, find μx, σ x
and P(29 ≤ x ≤ 31). (Round σx to two decimal places and the
probability to four decimal places.)
μx =
σ x =
P(29 ≤ x ≤ 31) =
(b) If a random sample of size n = 71 is drawn, find μx, σ x
and P(29 ≤ x ≤...

Suppose x has a distribution with μ = 25 and
σ = 22.
(a) If a random sample of size n = 40 is drawn, find
μx, σx
and P(25 ≤ x ≤ 27). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(25 ≤ x ≤ 27) =
(b) If a random sample of size n = 56 is drawn, find
μx, σx
and P(25 ≤ x ≤ 27). (Round
σx...

a. What is the standard error of a sampling
distribution? (out of the following)
the mean, the probability, the bias, the standard deviation, or
the variance
b. What is the standard deviation of a sampling
distribution called? (out of the following)
the spread, the variance, the standard error, the mean, the
standard variance
c. List two unbiased estimators and their
corresponding parameters. (Select all that apply out of the
following.)
μ is an unbiased estimator for x-bar, p is an...

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 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...

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