Question

a Since the sampling distribution is approximately normal, use the NORM.DIST function to determine the probability that a randomly selected sample of size n = 60 will have a sample proportion of females less than .2, i.e., 20%.

b. Suppose the company claims that they randomly selected from this population and the random sample contains 8 females out of 60. Draw a data distribution.

c. considering the last part, do you believe that the company truly randomly sampled from the population of all employees?

Answer #1

Select the correct definition of a sampling distribution of a
sample proportion.
a. a probability distribution of the count of a certain
characteristic of interest for all possible random samples of size
?ntaken from a population
b. a probability distribution of the sample proportions of a
certain characteristic of interest for all possible random samples
of size ?n taken from the population
c. a probability distribution of a population proportion of a
certain characteristic of interest for all possible random...

solve the following and mark the correct statement.
i)
In which case could the sampling distribution of sample means
be expected to be normally distributed?
A) The parent population is skewed, the sample size is
20.
B) The parent population is jumbled, the sample size is
20
C) The parent population is jumbled, the sample size is
50.
D) The parent population is uniform, the sample size is
20.
ii)
Recent English test scores were approximately normally
distributed with a...

1)A population of values has a normal distribution with
μ=74.3μ=74.3 and σ=37.4σ=37.4. You intend to draw a random sample
of size n=137n=137.
Find the probability that a single randomly selected value is
less than 72.1.
P(X < 72.1) =
Find the probability that a sample of size n=137n=137 is
randomly selected with a mean less than 72.1.
P(¯xx¯ < 72.1) = (Enter your answers as numbers
accurate to 4 decimal places.)
2)CNNBC recently reported that the mean annual cost of...

For the following information, determine whether a normal
sampling distribution can be used, where p is the population
proportion,α is the level of significance, ModifyingAbove p with
caretp is the sample proportion, and n is the sample size. If it
can be used, test the claim. Claim:
p>0.29
α=0.08
Sample statistics:
ModifyingAbove p with caretpequals=0.36
n=375

For the following information, determine whether a normal
sampling distribution can be used, where p is the population
proportion,
alphaα
is the level of significance,
ModifyingAbove p with caretp
is the sample proportion, and n is the sample size. If it can
be used, test the claim.Claim:
pgreater than or equals≥0.47
alphaαequals=0.06
Sample statistics:
ModifyingAbove p with caretpequals=0.40,
nequals=180

6. An application of the sampling distribution of the
sample proportion
Of the 21.4 million U.S. firms without paid employees, 32% are
female owned. [Data source: U.S. Census Bureau; data based on the
2007 Economic Census.]
A simple random sample of 408 firms is selected. Use the
Distributions tool to help you answer the questions that
follow.
The probability that the sample proportion is within ±.01 of the
population proportion is:
a. 0.5000
b. 0.3328
c. 0.0160
d. 0.1664
Suppose...

A population of values has a normal distribution with
μ=134.3μ=134.3 and σ=44.2σ=44.2. You intend to draw a random sample
of size n=135n=135.
Find the probability that a single randomly selected value is
between 133.2 and 145.
P(133.2 < X < 145) =
Find the probability that a sample of size n=135n=135 is randomly
selected with a mean between 133.2 and 145.
P(133.2 < M < 145) =
I tried to solve this problem multiple times but I am truly
confused....

A)Use population {3, 8, 10}. Assume that samples of size n = 2
are randomly selected with replacement. Construct a table
representing the sampling distribution of the sample mean.
B) Use population {3, 8, 10}. Assume that samples of size n = 2
are randomly selected with replacement. Find the mean of the
sampling distribution of the sample mean.
C) Three coins are flipped. Assume that for a single flip, a
Heads up is equally likely as Tails up. Construct...

Sampling with replacement
A researcher is interested in drawing a sample of potential
voters from a population of 10 individuals. She settles on a sample
size of 5, and sends out random invitations to 5 of the voters, by
picking their names randomly from a list. How many possible samples
could she draw from this population?
Sampling without replacement
The researcher realizes that she made a mistake! She
accidentally asked the selected some of the same voters more than
once....

The distribution of the commute times for the employees at a
large company has mean 22.4 minutes and standard deviation 6.8
minutes. A random sample of n employees will be selected and their
commute times will be recorded. What is true about the sampling
distribution of the sample mean as n increases from 2 to 10 ? The
mean increases, and the variance increases. A The mean increases,
and the variance decreases.
B The mean does not change, and the...

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