Question 1

The standard deviation of  is also called the:

Accepted Answer

A)  standard error of the sample proportion. 
B)  standard deviation of the population. 
C)  standard deviation of the binomial. 
D)  None of these choices.

Question 2

A CPA knows from past history that the average accounts receivable for a company is $521.72 with a standard deviation of $584.64. If the auditor takes a simple random sample of 100 accounts, what is the probability that the mean of the sample is within $120 of the population mean?

Accepted Answer

The answer of A CPA knows from past history that...

Question 3

Graduate Internships
The chairman of the Biology department in a certain college believes that 70% of the department's graduate internships are given to international students. A random sample of 50 graduate interns is taken.
-{Graduate Internships Narrative} Find the expected value and the standard error of the sampling distribution of  .

Accepted Answer

The answer of Graduate Internships
The chairman of the Biology department...

Question 4

If the population is normal, then  is normally distributed for __________________ values of n.

Accepted Answer

The answer of If the population is normal, then ...

Question 5

Average Annual Revenue
Suppose that the average annual revenue of a small business is $150,000 with a standard deviation of $40,000. Assume that the revenue distribution is normal.
-{Average Annual Revenue Narrative} What is the probability that one business selected at random makes less than $120,000?

Accepted Answer

The answer of Average Annual Revenue
Suppose that the average annual...

Question 6

Given that X is a binomial random variable with very large n, the binomial probability P(X $\le$  5) is approximated by the area under a normal curve to the left of

Accepted Answer

A)  5 
B)  -5 
C)  5.5 
D)  4.5

Question 7

Graduate Internships
The chairman of the Biology department in a certain college believes that 70% of the department's graduate internships are given to international students. A random sample of 50 graduate interns is taken.
-{Graduate Internships Narrative} What is the probability that the sample proportion  is within $\pm$.05 of the population proportion p?

Accepted Answer

The answer of Graduate Internships
The chairman of the Biology department...

Question 8

Heights of Men
The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches.
-{Heights of Men Narrative} A random sample of five men is selected. What is the probability that the sample mean is greater than 70 inches?

Accepted Answer

The answer of Heights of Men
The heights of men in...

Question 9

The estimator of the probability of success in a binomial distribution is: ____________________.

Accepted Answer

The answer of The estimator of the probability of success...

Question 10

Heights of Men
The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches.
-{Heights of Men Narrative} What is the probability that the mean height of a random sample of 36 men is greater than 70 inches?

Accepted Answer

The answer of Heights of Men
The heights of men in...

Question 11

What is the probability that the sample mean is between 2,000 and 2,300 magazines?

Accepted Answer

The answer of What is the probability that the sample...

Question 12

Number of Fish Tanks: The following data give the number of fish tanks owned for a population of 4 families.
 
-A sample of size 2 is drawn at random from the population. Use the formulas  and  to calculate the mean and the standard deviation of the sampling distribution of the sample means.

Accepted Answer

The answer of Number of Fish Tanks: The following data...

Question 13

In an effort to identify the true proportion of college freshman who are under 18 years of age, a random sample of 500 freshmen was taken. Fifty of them were under the age of 18. The value 0.10 is a point estimate of the true proportion of freshman under age 18.

Accepted Answer

A) True 
 B)False

Question 14

The finite population correction factor should be used:

Accepted Answer

A)  whenever we are sampling from an infinite population. 
B)  whenever we are sampling from a finite population. 
C)  whenever the sample size is large compared to the population size. 
D)  whenever the sample size is small compared to the population size.

Question 15

Heights of Men
The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches.
-{Heights of Men Narrative} What is the probability that a randomly selected man is taller than 70 inches?

Accepted Answer

The answer of Heights of Men
The heights of men in...

Question 16

As a general rule, the normal distribution is used to approximate the sampling distribution of the sample proportion only if the sample size n is greater than or equal to 30.

Accepted Answer

A) True 
 B)False

Question 17

Because the value of the ____________________ varies from sample to sample, we can regard it as a new random variable, created by sampling.

Accepted Answer

The answer of Because the value of the ____________________ varies...

Question 18

The accuracy of the approximation of  with a normal distribution depends on the probability distribution of the ____________________ and on the sample ____________________.

Accepted Answer

The answer of The accuracy of the approximation of ...

Question 19

The amount of time it takes to complete a final examination is negatively skewed distribution with a mean of 70 minutes and a standard deviation of 8 minutes. If 64 students were randomly sampled, the probability that the sample mean of the sampled students exceeds 73.5 minutes is approximately 0.

Accepted Answer

A) True 
 B)False

Question 20

A sample of size n is selected at random from an infinite population. As n increases, which of the following statements is true?

Accepted Answer

A)  The population standard deviation decreases. 
B)  The standard error of the sample mean decreases. 
C)  The population standard deviation increases. 
D)  The standard error of the sample mean increases.

Exam 8: Sampling Distributions

The standard deviation of is also called the:

A CPA knows from past history that the average accounts receivable for a company is $521.72 with a standard deviation of $584.64. If the auditor takes a simple random sample of 100 accounts, what is the probability that the mean of the sample is within $120 of the population mean?

If the population is normal, then is normally distributed for __________________ values of n.

Given that X is a binomial random variable with very large n, the binomial probability P(X $\le$ 5) is approximated by the area under a normal curve to the left of

Heights of Men The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches. -{Heights of Men Narrative} A random sample of five men is selected. What is the probability that the sample mean is greater than 70 inches?

The estimator of the probability of success in a binomial distribution is: ____________________.

Heights of Men The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches. -{Heights of Men Narrative} What is the probability that the mean height of a random sample of 36 men is greater than 70 inches?

What is the probability that the sample mean is between 2,000 and 2,300 magazines?

Number of Fish Tanks: The following data give the number of fish tanks owned for a population of 4 families. -A sample of size 2 is drawn at random from the population. Use the formulas and to calculate the mean and the standard deviation of the sampling distribution of the sample means.

In an effort to identify the true proportion of college freshman who are under 18 years of age, a random sample of 500 freshmen was taken. Fifty of them were under the age of 18. The value 0.10 is a point estimate of the true proportion of freshman under age 18.

The finite population correction factor should be used:

Heights of Men The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches. -{Heights of Men Narrative} What is the probability that a randomly selected man is taller than 70 inches?

As a general rule, the normal distribution is used to approximate the sampling distribution of the sample proportion only if the sample size n is greater than or equal to 30.

Because the value of the ____________________ varies from sample to sample, we can regard it as a new random variable, created by sampling.

The accuracy of the approximation of with a normal distribution depends on the probability distribution of the and on the sample .

The amount of time it takes to complete a final examination is negatively skewed distribution with a mean of 70 minutes and a standard deviation of 8 minutes. If 64 students were randomly sampled, the probability that the sample mean of the sampled students exceeds 73.5 minutes is approximately 0.

A sample of size n is selected at random from an infinite population. As n increases, which of the following statements is true?

Exam 8: Sampling Distributions

The standard deviation of is also called the:

A CPA knows from past history that the average accounts receivable for a company is $521.72 with a standard deviation of $584.64. If the auditor takes a simple random sample of 100 accounts, what is the probability that the mean of the sample is within $120 of the population mean?

If the population is normal, then is normally distributed for __________________ values of n.

Given that X is a binomial random variable with very large n, the binomial probability P(X ≤\le≤ 5) is approximated by the area under a normal curve to the left of

Heights of Men The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches. -{Heights of Men Narrative} A random sample of five men is selected. What is the probability that the sample mean is greater than 70 inches?

The estimator of the probability of success in a binomial distribution is: ____________________.

Heights of Men The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches. -{Heights of Men Narrative} What is the probability that the mean height of a random sample of 36 men is greater than 70 inches?

What is the probability that the sample mean is between 2,000 and 2,300 magazines?

Number of Fish Tanks: The following data give the number of fish tanks owned for a population of 4 families. -A sample of size 2 is drawn at random from the population. Use the formulas and to calculate the mean and the standard deviation of the sampling distribution of the sample means.

In an effort to identify the true proportion of college freshman who are under 18 years of age, a random sample of 500 freshmen was taken. Fifty of them were under the age of 18. The value 0.10 is a point estimate of the true proportion of freshman under age 18.

The finite population correction factor should be used:

Heights of Men The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches. -{Heights of Men Narrative} What is the probability that a randomly selected man is taller than 70 inches?

As a general rule, the normal distribution is used to approximate the sampling distribution of the sample proportion only if the sample size n is greater than or equal to 30.

Because the value of the ____________________ varies from sample to sample, we can regard it as a new random variable, created by sampling.

The accuracy of the approximation of with a normal distribution depends on the probability distribution of the ____________________ and on the sample ____________________.

The amount of time it takes to complete a final examination is negatively skewed distribution with a mean of 70 minutes and a standard deviation of 8 minutes. If 64 students were randomly sampled, the probability that the sample mean of the sampled students exceeds 73.5 minutes is approximately 0.

A sample of size n is selected at random from an infinite population. As n increases, which of the following statements is true?

Given that X is a binomial random variable with very large n, the binomial probability P(X $\le$ 5) is approximated by the area under a normal curve to the left of

The accuracy of the approximation of with a normal distribution depends on the probability distribution of the and on the sample .