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=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=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)?

Suppose a simple random sample of size n=39 is obtained from a
population with μ=6666 and σ=14.
P(x overbar < 69.2) =
P(x overbear great than or equal to 67.8) =

A simple random sample of size 11 is drawn from a normal
population whose standard deviation is σ=1.8. The sample mean is
¯x=26.8.
a.) Construct a 85% confidence level for μ. (Round answers to two
decimal place.)
margin of error:
lower limit:
upper limit:
b.) If the population were not normally distributed, what
conditions would need to be met? (Select all that apply.)
the population needs to be uniformly distributed
σ is unknown
simple random sample
large enough sample size...

The Central Limit Theorem says that when sample size n is taken
from any population with mean μ and standard deviation σ when n is
large, which of the following statements are true?
The distribution of the sample mean is approximately
Normal.
The standard deviation is equal to that of the population.
The distribution of the population is exactly Normal.
The distribution is biased.

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, overbar x, is found to
be 115, and the sample standard deviation, s, is found to be 10.
(a) Construct a 98% confidence interval about μ if the sample
size, n, is 20. (b) Construct a 98% confidence interval about μ
if the sample size, n, is 25. (c) Construct a 99% confidence
interval about μ if the sample size, n,...

A random sample of size n=523 from a population whose parameter
is p=0.7.
What is the mean of the distribution of sample means? Round
the answer accurate to 2 decimal places.
What is the standard deviation of the distribution of sample
means? Round the answer accurate to 2 decimal places.

Find the sample size, n, needed to estimate the mean of
a normal population, μ, with σ = 9.25 and a maximum error
of E = 3.2 at a 99% level of confidence.

Salaries of 48 college graduates who took a statistics course in
college have a mean, x of $ 60,700. Assuming a standard
deviation, sigma, of $10,499, construct a 90% confidence
interval for estimating the population mean mu. Click here to view
a t distribution table. LOADING... Click here to view page 1 of the
standard normal distribution table. LOADING... Click here to view
page 2 of the standard normal distribution table. LOADING... $
nothingless thanmuless than$ nothing (Round to the...

A random sample of n = 81 observations is drawn from a
population with a mean equal to 15 and a standard deviation equal
to 9 . Complete parts a through g below. a. Give the mean and
standard deviation of the? (repeated) sampling distribution x
overbar . mu Subscript x overbar equalsnothingsigma Subscript x
overbar equalsnothing ?(Type integers or? decimals.) b. Describe
the shape of the sampling distribution of x overbar . Does this
answer depend on the sample?...

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