Question

A population of values has a distribution with μ=197.6 and σ=24.6. You intend to draw a random sample of size n=19.

(a) What is the mean of the distribution of sample means?

μ¯x= ____?

(b) What is the standard deviation of the distribution of sample
means?

(Report answer accurate to 2 decimal places.)

σ¯x= ___ ?

(c) In a random sample of n=19, what is the probability that its random sample mean is more than 197.5? Round to three decimal places.

(d) In a random sample of n=19, what is the probability that its random sample mean is less than 192.5? Give your answer to three decimal places.

Answer #1

A population of values has a distribution with μ=113.3μ=113.3
and σ=68.6σ=68.6. You intend to draw a random sample of size
n=139n=139.
According to the Central Limit Theorem:
(a) What is the mean of the distribution of sample means?
μ¯x=μx¯=
(b) What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=
(c) In a random sample of n=139, what is the probability that its
random sample mean is more than 119.7? Round...

A population of values has a distribution with μ=211.8μ=211.8
and σ=33.1σ=33.1. You intend to draw a random sample of size
n=120n=120.
According to the Central Limit Theorem:
(a) What is the mean of the distribution of sample means?
μ¯x=μx¯=
(b) What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=
(c) In a random sample of n=120, what is the probability that its
random sample mean is more than 211? Round...

A population of values has a distribution with μ=82.4μ=82.4 and
σ=23.7σ=23.7. You intend to draw a random sample of size
n=167n=167.
According to the Central Limit Theorem:
(a) What is the mean of the distribution of sample means?
μ¯x=
(b) What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=
(c) In a random sample of n=167, what is the probability that its
random sample mean is more than 83.9? Round...

A population of values has a normal distribution with μ=159.6
and σ=75.4 You intend to draw a random sample of size n=125
What is the mean of the distribution of sample means?
μ¯x=
What is the standard deviation of the distribution of sample means
(i.e. the standard error)?
(Report answer accurate to 2 decimal places.)
σ¯x=

A population of values has a normal distribution with μ=169μ=169
and σ=84.7σ=84.7. You intend to draw a random sample of size
n=157n=157.
What is the mean of the distribution of sample means?
μ¯x=μx¯=
What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=

A population of values has a normal distribution with
μ=190.1μ=190.1 and σ=91.6σ=91.6. You intend to draw a random sample
of size n=151n=151.
a) What is the mean of the distribution of sample means?
μ¯x=μx¯=
b) What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=

A population has parameters μ = 208.3 and σ = 92.5 . You intend
to draw a random sample of size n = 116 .
What is the mean of the distribution of sample means? μ ¯ x
=
What is the standard deviation of the distribution of sample
means? (Report answer accurate to 2 decimal places.) σ ¯ x =

A population has parameters μ=126.3μ=126.3 and σ=57.9σ=57.9. You
intend to draw a random sample of size n=221n=221.
What is the mean of the distribution of sample means?
μ¯x=μx¯=
What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=

A population has parameters μ=126.3μ=126.3 and σ=57.9σ=57.9. You
intend to draw a random sample of size n=221n=221.
What is the mean of the distribution of sample means?
μ¯x=μx¯=
What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=

A population of values has a normal distribution with μ=50 and
σ=98.2. You intend to draw a random sample of size n=13.
Find the probability that a single randomly selected value is
less than -1.7. P(X < -1.7) =
Find the probability that a sample of size n=13 is randomly
selected with a mean less than -1.7.
P(M < -1.7) =
Enter your answers as numbers accurate to 4 decimal places. Answers
obtained using exact z-scores or z-scores rounded
to...

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