Question

Consider a sampling distribution with

p equals 0.13p=0.13

and samples of size n each. Using the appropriate formulas, find the mean and the standard deviation of the sampling distribution of the sample proportion.

**a.** For a random sample of size n=5000.

The standard deviation is ____ (Round to four decimal places as needed)

**b.** For a random sample of size n=1000.

The standard deviation is ____ (Round to four decimal places as needed)

**c.** For a random sample of size n=500.

The standard deviation is ____ (Round to four decimal places as needed)

Summarize the effect of the sample size on the size of the standard deviation.

A. As the sample size gets smaller, the standard deviation gets smaller.

B. As the sample size gets larger, the standard deviation gets smaller.

C. Standard deviation does not depend on the size of the sample.

Answer #1

Describe the sampling distribution of p. Assume the size of the
population is 30,000
n=1400, p=0.444
Determine the mean of the sampling distribution of p.
mean=? (round to three decimal places as needed)
Determine the standard deviation of the sampling distribution of
p.
std dev.=?? (round to three decimal places as needed)

Assume you begin with some distribution of data. Now, take many,
many samples of size n and create a distribution of sample means
from these samples.
1. What will happen to the mean of the new distribution as n gets
larger and larger?
2. What will happen to the standard deviation of the new
distribution as n gets larger and larger?

Describe the sampling distribution of p. Assume the size of the
population is 25,000. n=700, p=0.3
________________________________________________________________________________
Choose the phrase that best describes the shape of the sampling
distribution of p (hat) below.
A.Not normal because n≤0.05N and np(1−p)≥10.
B.Approximately normal because n≤0.05N and np(1−p)<10.
C.Approximately normal because n≤0.05N and np(1−p)≥10.
D.Not normal because n≤0.05N and np(1−p)<10.
____________________________________________________
Determine the mean of the sampling distribution of p.
μp=___ (Round to one decimal place as needed.)
____________________________________________________
Determine the standard deviation...

A random sample of size n = 50 is selected from a
binomial distribution with population proportion
p = 0.8.
Describe the approximate shape of the sampling distribution of
p̂.
Calculate the mean and standard deviation (or standard error) of
the sampling distribution of p̂. (Round your standard
deviation to four decimal places.)
mean =
standard deviation =
Find the probability that the sample proportion p̂ is
less than 0.9. (Round your answer to four decimal places.)

Describe the sampling distribution of ModifyingAbove p with
caret. Assume the size of the population is 30 comma 000.
nequals600, pequals0.119 Describe the shape of the sampling
distribution of ModifyingAbove p with caret. Choose the correct
answer below. A. The shape of the sampling distribution of
ModifyingAbove p with caret is not normal because n less than or
equals 0.05 Upper N and np left parenthesis 1 minus p right
parenthesis less than 10. B. The shape of the sampling...

Describe the sampling distribution of ModifyingAbove p with
caretp. Assume the size of the population
ism25,000.n=900,p=0.116
Describe the shape of the sampling distribution of
ModifyingAbove p with caretp.
Choose the correct answer below.
The shape of the sampling distribution of
ModifyingAbove p with caretp
is not normal because
n less than or equals 0.05 Upper Nn≤0.05N
and np left parenthesis 1 minus p right parenthesis less than
10.np(1−p)<10.
B.The shape of the sampling distribution of
ModifyingAbove p with caretp
is...

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...

Describe the sampling distribution of ModifyingAbove p with
caret. Assume the size of the population is 25 comma 000.
nequals400, pequals0.2 Choose the phrase that best describes the
shape of the sampling distribution of ModifyingAbove p with caret
below. A. Not normal because n less than or equals 0.05 Upper N and
np left parenthesis 1 minus p right parenthesis less than 10. B.
Not normal because n less than or equals 0.05 Upper N and np left
parenthesis 1...

A simple random sample of size n equals 40 is drawn from a
population. The sample mean is found to be x overbar equals 121.4
and the sample standard deviation is found to be s equals 12.4.
Construct a 99% confidence interval for the population mean.
The lower bound is ?. (Round to two decimal places as
needed.)
The upper bound is ?. (Round to two decimal places as
needed.)

Given a random sample of size of
n equals =3,600
from a binomial probability distribution with
P equals=0.50,
complete parts (a) through (e) below.
Click the icon to view the standard normal table of the
cumulative distribution function
.a. Find the probability that the number of successes is greater
than 1,870.
P(X greater than>1 comma 1,870)
(Round to four decimal places as needed.)b. Find the
probability that the number of successes is fewer than
1 comma 1,765.
P(X less than<1...

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