Question

A
simple random sample of size n=35 is obtained from the UK
population with mean 75 and standard deviation of 10.

a.
What is P(x̄ >80)

b
What is P(72.4≤ x̄
≤
77.8)

Answer #1

A simple random sample size of n = 75 is obtained from a
population whose size is N = 10000 and whose population proportion
with a specified characteristic is p = 0.8.
a) What is the probability of obtaining x = 63 or more
individuals with the characteristic?
b) Construct a 90% interval for the population proportion if x =
30 and n = 150.

Suppose a simple random sample of size n=75 is obtained from a
population whose size is N= 25,000
and whose population proportion with a specified characteristic
is p=0.2.
(c) What is the probability of obtaining x=99
or fewer individuals with the characteristic? That is, what
is
P(p ≤ 0.12)?
(Round to four decimal places as needed.)

Suppose a simple random sample of size n=36 is obtained from a
population with μ= 89 and σ= 12. Find the mean and standard
deviation of the sampling distribution of X.
a) What is P (x > 91.4)?
b) What is P (x ≤ 84.8)?
c) What is P(86< x<93.3)?

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 simple random sample size of n=800 is obtained from a
population whose size is N=10,000,000 and whose population
proportion with a specified characteristic is p=.32.
a)describe the sampling distribution
b) What is the probability of obtaining x=350 or more
individuals with the characteristic?

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar, is found to
be 110, and the sample standard deviation, s, is found to be
10.
(a) Construct an 80% confidence interval about mu if the
sample size, n, is 29.
(b) Construct an 80% confidence interval about mu if the
sample size, n, is 21.
(c) Construct a 70% confidence interval about mu if the
sample size, n,...

A simple random sample of size n is drawn from a population that
is normally distributed. The samplemean,
x overbar
,
is found to be
105
,
and the sample standarddeviation,s, is found to be
10
.
(a)Construct
an
80
%
confidence interval about
mu
if the samplesize,n, is
26
.
(b)Construct
an
80
%
confidence interval about
mu
if the samplesize,n, is
16
.
(c)Construct
a
70
%
confidence interval about
mu
if the samplesize,n, is
26
.
(d)Could...

Suppose a simple random sample of size n=200 is obtained from a
population whose size is N=10,000 and whose population proportion
with a specified characteristic is p=0.6.
Complete parts (a) through
(c) below.
(a) Describe the sampling distribution of
ModifyingAbove p with caretp.
Determine the mean of the sampling distribution of
ModifyingAbove p with caretp.
mu Subscript ModifyingAbove p with caret equals
μp=___
(Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution
of
sigma...

Suppose a simple random sample of size n=1000 is obtained from a
population whose size is N=1,500,000 and whose population
proportion with a specified characteristic is p=0.55 .
a) What is the probability of obtaining x=580 or more
individuals with the characteristic?
P(x ≥ 580) = (Round to four decimal places as
needed.)
(b) What is the probability of obtaining x=530 or fewer
individuals with the characteristic?
P(x ≤ 530) = (Round to four decimal places as
needed.)

simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar, is found to
be 112, and the sample standard deviation, s, is found to be
10.
(a) Construct a 90% confidence interval about mu if the
sample size, n, is 19.
(b) Construct a 90% confidence interval about mu if the sample
size, n, is 12.
(c) Construct an 80% confidence interval about mu if the
sample size,...

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