Question 1

Given that X is a binomial random variable with very large n, the binomial probability P(X = 5) is approximated by the area under a normal curve between

Accepted Answer

A)  5 and 5 
B)  4 and 6 
C)  4.5 and 5.5 
D)  None of these choices. 
A)  5 and 5 
B)  4 and 6 
C)  4.5 and 5.5 
D)  None of these choices.

Question 2

A sample of size 200 is taken at random from an infinite population. Given that the population proportion is 0.60, the probability that the sample proportion is less than 0.58 is

Accepted Answer

A)  0.281 
B)  0.719 
C)  0.580 
D)  0.762 
A)  0.281 
B)  0.719 
C)  0.580 
D)  0.762

Question 3

Number of Fish Tanks: The following data give the number of fish tanks owned for a population of 4 families.
  
-Find the mean and the standard deviation for the population.

Accepted Answer

@#LAT-DLM& = 2.5 fis

Question 4

As a general rule in computing the standard error of the sample mean, the finite population correction factor is used only if the:

Accepted Answer

A)  sample size is smaller than 5% of the population size. 
B)  sample size is greater than 5% of the sample size. 
C)  sample size is more than half of the population size. 
D)  None of these choices. 
A)  sample size is smaller than 5% of the population size. 
B)  sample size is greater than 5% of the sample size. 
C)  sample size is more than half of the population size. 
D)  None of these choices.

Question 5

Random samples of size 49 are taken from an infinite population whose mean is 300 and standard deviation is 21. The mean and standard error of the sample mean, respectively, are:

Accepted Answer

A)  300 and 21 
B)  300 and 3 
C)  300 and 0.43 
D)  None of these choices. 
A)  300 and 21 
B)  300 and 3 
C)  300 and 0.43 
D)  None of these choices.

Question 6

As n gets ____________________, the shape of the sampling distribution of   becomes increasingly bell shaped.

Accepted Answer

The answer of As n gets ____________________, the shape of...

Question 7

The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with a mean of 3.2 pounds and standard deviation of 0.84 pounds. If a sample of 16 fish is taken, what is the standard error of the mean weight?

Accepted Answer

A)  0.840 
B)  0.053 
C)  0.210 
D)  None of these choices. 
A)  0.840 
B)  0.053 
C)  0.210 
D)  None of these choices.

Question 8

To find the binomial probability P(X $\le$  4) we calculate the area under the normal curve to the ____________________ (left/right) of the number ____________________.

Accepted Answer

The answer of To find the binomial probability P(X $\le$...

Question 9

What is the probability that you get more than 200 heads if you flip a coin 400 times?

Accepted Answer

0.500. No

Question 10

The amount of bleach a machine pours into bottles has a mean of 50 ounces with a standard deviation of 0.25 ounces. Suppose we take a random sample of 36 bottles filled by this machine. The sampling distribution of the sample mean has a standard error of 0.25 ounces.

Accepted Answer

A) True 
 B)False

Question 11

Retirees: A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years, respectively.
-What is the probability that two randomly selected retirees are over 73 years of age?

Accepted Answer

0.9909 * 0

Question 12

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} Why are your answers to the previous two questions different?

Accepted Answer

The revenue of one business chosen from

Question 13

Given a binomial distribution with n trials and probability p of a success on any trial, a conventional rule of thumb is that the normal distribution will provide an adequate approximation of the binomial distribution if

Accepted Answer

A)  np $\le$  5 and n(1 - p) $\le$  5 
B)  np $\ge$ 5 and np(1 -p) $\ge$ 5 
C)  np $\ge$ 5 and n(1 - p) $\ge$ 5 
D)  None of these choices. 
A)  np $\le$  5 and n(1 - p) $\le$  5 
B)  np $\ge$ 5 and np(1 -p) $\ge$ 5 
C)  np $\ge$ 5 and n(1 - p) $\ge$ 5 
D)  None of these choices.

Question 14

If all possible samples of size n are drawn from an infinite population with a mean of 15 and a standard deviation of 5, then the standard error of the sample mean equals 1.0 for samples of size:

Accepted Answer

A)  5 
B)  15 
C)  25 
D)  None of these choices. 
A)  5 
B)  15 
C)  25 
D)  None of these choices.

Question 15

Which of the following is true about the sampling distribution of the sample mean?

Accepted Answer

A)  Its mean is always equal to 
B)  Its standard error is always equal to the population standard deviation $\sigma$. 
C)  Its shape is exactly normal if n is large enough. 
D)  None of these choices. 
A)  Its mean is always equal to 
B)  Its standard error is always equal to the population standard deviation $\sigma$. 
C)  Its shape is exactly normal if n is large enough. 
D)  None of these choices.

Question 16

Find the expected value and the standard error of the sample mean.

Accepted Answer

@#IMG-DLM& = 2,100 magazines p

Question 17

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

Accepted Answer

A)  4.5 
B)  5.5 
C)  4 
D)  6 
A)  4.5 
B)  5.5 
C)  4 
D)  6

Question 18

DVD Rental Store
A DVD rental store wants to know what proportion of its customers are under age 21. A simple random sample of 500 customers was taken, and 375 of them were under age 21. Presume that the true population proportion of customers under age 21 is 0.68.
-{DVD Rental Store Narrative} Describe the shape of the sampling distribution of proportion of customers who are under age 21.

Accepted Answer

Since np @#LAT-DLM& 5, and n(1

Question 19

The mean of the sampling distribution of the sample proportion   , when the sample size n = 100 and the population proportion p = 0.92, is 92.0.

Accepted Answer

A) True 
 B)False

Question 20

Recall the rule of thumb used to indicate when the normal distribution is a good approximation of the sampling distribution for the sample proportion   . For the combination n = 50, p = 0.05, the rule is satisfied.

Accepted Answer

A) True 
 B)False

Given that X is a binomial random variable with very large n, the binomial probability P(X = 5) is approximated by the area under a normal curve between

A sample of size 200 is taken at random from an infinite population. Given that the population proportion is 0.60, the probability that the sample proportion is less than 0.58 is

Number of Fish Tanks: The following data give the number of fish tanks owned for a population of 4 families. -Find the mean and the standard deviation for the population.

As a general rule in computing the standard error of the sample mean, the finite population correction factor is used only if the:

Random samples of size 49 are taken from an infinite population whose mean is 300 and standard deviation is 21. The mean and standard error of the sample mean, respectively, are:

As n gets ____________________, the shape of the sampling distribution of becomes increasingly bell shaped.

The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with a mean of 3.2 pounds and standard deviation of 0.84 pounds. If a sample of 16 fish is taken, what is the standard error of the mean weight?

To find the binomial probability P(X $\le$ 4) we calculate the area under the normal curve to the (left/right) of the number .

What is the probability that you get more than 200 heads if you flip a coin 400 times?

The amount of bleach a machine pours into bottles has a mean of 50 ounces with a standard deviation of 0.25 ounces. Suppose we take a random sample of 36 bottles filled by this machine. The sampling distribution of the sample mean has a standard error of 0.25 ounces.

Retirees: A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years, respectively. -What is the probability that two randomly selected retirees are over 73 years of age?

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} Why are your answers to the previous two questions different?

Given a binomial distribution with n trials and probability p of a success on any trial, a conventional rule of thumb is that the normal distribution will provide an adequate approximation of the binomial distribution if

If all possible samples of size n are drawn from an infinite population with a mean of 15 and a standard deviation of 5, then the standard error of the sample mean equals 1.0 for samples of size:

Which of the following is true about the sampling distribution of the sample mean?

Find the expected value and the standard error of the sample mean.

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

The mean of the sampling distribution of the sample proportion , when the sample size n = 100 and the population proportion p = 0.92, is 92.0.

Recall the rule of thumb used to indicate when the normal distribution is a good approximation of the sampling distribution for the sample proportion . For the combination n = 50, p = 0.05, the rule is satisfied.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

Exam 8: Sampling Distributions

Given that X is a binomial random variable with very large n, the binomial probability P(X = 5) is approximated by the area under a normal curve between

A sample of size 200 is taken at random from an infinite population. Given that the population proportion is 0.60, the probability that the sample proportion is less than 0.58 is

Number of Fish Tanks: The following data give the number of fish tanks owned for a population of 4 families. -Find the mean and the standard deviation for the population.

As a general rule in computing the standard error of the sample mean, the finite population correction factor is used only if the:

Random samples of size 49 are taken from an infinite population whose mean is 300 and standard deviation is 21. The mean and standard error of the sample mean, respectively, are:

As n gets ____________________, the shape of the sampling distribution of becomes increasingly bell shaped.

The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with a mean of 3.2 pounds and standard deviation of 0.84 pounds. If a sample of 16 fish is taken, what is the standard error of the mean weight?

To find the binomial probability P(X ≤\le≤ 4) we calculate the area under the normal curve to the ____________________ (left/right) of the number ____________________.

What is the probability that you get more than 200 heads if you flip a coin 400 times?

The amount of bleach a machine pours into bottles has a mean of 50 ounces with a standard deviation of 0.25 ounces. Suppose we take a random sample of 36 bottles filled by this machine. The sampling distribution of the sample mean has a standard error of 0.25 ounces.

Retirees: A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years, respectively. -What is the probability that two randomly selected retirees are over 73 years of age?

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} Why are your answers to the previous two questions different?

Given a binomial distribution with n trials and probability p of a success on any trial, a conventional rule of thumb is that the normal distribution will provide an adequate approximation of the binomial distribution if

If all possible samples of size n are drawn from an infinite population with a mean of 15 and a standard deviation of 5, then the standard error of the sample mean equals 1.0 for samples of size:

Which of the following is true about the sampling distribution of the sample mean?

Find the expected value and the standard error of the sample mean.

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

The mean of the sampling distribution of the sample proportion , when the sample size n = 100 and the population proportion p = 0.92, is 92.0.

Recall the rule of thumb used to indicate when the normal distribution is a good approximation of the sampling distribution for the sample proportion . For the combination n = 50, p = 0.05, the rule is satisfied.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

To find the binomial probability P(X $\le$ 4) we calculate the area under the normal curve to the (left/right) of the number .

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