Question

Suppose a simple random sample of size n is obtained from a population whose size is N and whose population proportion with a specified characteristic is Complete parts (a) through (c) below. = 1000 = 2,000,000 p = 0.25. Click here to view the standard normal distribution table (page 1).7 Click here to view the standard normal distribution table (page 2).8 (a) Describe the sampling distribution of p. A. Approximately normal, μ and p = 0.25 σ p ≈ 0.0137 B. Approximately normal, μ and p = 0.25 σ p ≈ 0.0003 C. Approximately normal, μ and p = 0.25 σ p ≈ 0.0002 (b) What is the probability of obtaining x = 290 or more individuals with the characteristic? P(x ≥ 290) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 230 or fewer individuals with the characteristic? P(x ≤ 230) = (Round to four decimal places as needed.)

Answer #1

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.)

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=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.)

Q4. A simple random sample of size n=180 is obtained from a
population whose size=20,000 and whose population proportion with a
specified characteristic is p=0.45. Determine whether the sampling
distribution has an approximately normal distribution. Show your
work that supports your conclusions.
Q5. Using the values in Q4, calculate the probability of
obtaining x=72 or more individuals with a specified
characteristic.

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?

Suppose a simple random sample of size n equals 50 is obtained
from a population whose size is Upper N equals 20 comma 000 and
whose population proportion with a specified characteristic is p
equals 0.6 . Complete parts (a) through (c) below. (b) What is
the probability of obtaining x equals 32 or more individuals with
the characteristic? That is, what is P(Modifying Above p with
caretgreater than or equals 0.64)? P(ModifyingAbove p with
caretgreater than or equals 0.64)equals...

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 nequals1000 is obtained
from a population whose size is Nequals2 comma 000 comma 000 and
whose population proportion with a specified characteristic is p
equals 0.74 . Complete parts? (a) through? (c) below.(c) What is
the probability of obtaining xequals720 or fewer individuals with
the? characteristic? ?P(xless than or equals720?)equals nothing
?(Round to four decimal places as? needed.)

A simple random sample of size n=13 is obtained from a
population with μ=67 and σ=16.
(a) What must be true regarding the distribution of the
population in order to use the normal model to compute
probabilities involving the sample mean? Assuming that this
condition is true, describe the sampling distribution of x.
(b) Assuming the normal model can be used, determine
P(x<70.9).
(c) Assuming the normal model can be used, determine
P(x≥68.9).
(a) What must be true regarding the...

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)?

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