Question 1

The variance of  is ____________________.

Accepted Answer

The answer of The variance of  is ____________________....

Question 2

Mean Salary: In order to estimate the mean salary for a population of 500 employees, the president of a certain company selected at random a sample of 40 employees.
-Would you use the finite population correction factor in calculating the standard error of the sample mean in this case? Explain.

Accepted Answer

The answer of Mean Salary: In order to estimate the...

Question 3

The normal approximation to the binomial distribution gets better and better as ____________________ increases.

Accepted Answer

The answer of The normal approximation to the binomial distribution...

Question 4

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.
-Find the mean and standard error of the sampling distribution of the sample mean.

Accepted Answer

The answer of Retirees: A sample of 50 retirees is...

Question 5

Heights of Fences
Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches.
-{Heights of Fence Narrative} Find the probability that two randomly selected fences are both under 54 inches.

Accepted Answer

The answer of Heights of Fences
Heights of fences are normally...

Question 6

Mean Salary: In order to estimate the mean salary for a population of 500 employees, the president of a certain company selected at random a sample of 40 employees.
-If the population standard deviation is $800, compute the standard error both with and without using the finite population correction factor.

Accepted Answer

The answer of Mean Salary: In order to estimate the...

Question 7

The continuity correction factor adds and subtracts the number ____________________ to/from x to find P(X = x).

Accepted Answer

The answer of The continuity correction factor adds and subtracts...

Question 8

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

The answer of Retirees: A sample of 50 retirees is...

Question 9

The expected value of  is ____________________.

Accepted Answer

The answer of The expected value of  is ____________________....

Question 10

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} Could you have used a normal distribution to find an (approximate) probability for the average of 4 revenues if the population of revenues did not have a normal distribution?

Accepted Answer

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

Question 11

The standard deviation of  is also called the ____________________ of the sample proportion.

Accepted Answer

The answer of The standard deviation of  is also...

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} What is the probability that the average annual revenue of a random sample of 4 businesses is less than $120,000?

Accepted Answer

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

Question 13

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 the mean age exceeds 73 years?

Accepted Answer

The answer of Retirees: A sample of 50 retirees is...

Question 14

Heights of Fences
Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches.
-{Heights of Fences Narrative} Find the probability that one randomly selected fence is under 54 inches.

Accepted Answer

The answer of Heights of Fences
Heights of fences are normally...

Question 15

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

Question 16

Heights of Fences
Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches.
-{Heights of Fence Narrative} Find the probability that the mean height of 4 randomly selected fences is under 54 inches.

Accepted Answer

The answer of Heights of Fences
Heights of fences are normally...

Question 17

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 18

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 19

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.
-Describe the shape of the sampling distribution of the sample mean in this case.

Accepted Answer

The answer of Retirees: A sample of 50 retirees is...

Question 20

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 the mean age is at most 73 years?

Accepted Answer

The answer of Retirees: A sample of 50 retirees is...

Quiz 8: Sampling Distributions

The variance of is ____________________.

Mean Salary: In order to estimate the mean salary for a population of 500 employees, the president of a certain company selected at random a sample of 40 employees. -Would you use the finite population correction factor in calculating the standard error of the sample mean in this case? Explain.

The normal approximation to the binomial distribution gets better and better as ____________________ increases.

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. -Find the mean and standard error of the sampling distribution of the sample mean.

Heights of Fences Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches. -{Heights of Fence Narrative} Find the probability that two randomly selected fences are both under 54 inches.

The continuity correction factor adds and subtracts the number ____________________ to/from x to find P(X = x).

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?

The expected value of is ____________________.

The standard deviation of is also called the ____________________ of the sample proportion.

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 the mean age exceeds 73 years?

Heights of Fences Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches. -{Heights of Fences Narrative} Find the probability that one randomly selected fence is under 54 inches.

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?

Heights of Fences Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches. -{Heights of Fence Narrative} Find the probability that the mean height of 4 randomly selected fences is under 54 inches.

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

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. -Describe the shape of the sampling distribution of the sample mean in this case.

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 the mean age is at most 73 years?

Quiz 8: Sampling Distributions

The variance of is ____________________.

Mean Salary: In order to estimate the mean salary for a population of 500 employees, the president of a certain company selected at random a sample of 40 employees. -Would you use the finite population correction factor in calculating the standard error of the sample mean in this case? Explain.

The normal approximation to the binomial distribution gets better and better as ____________________ increases.

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. -Find the mean and standard error of the sampling distribution of the sample mean.

Heights of Fences Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches. -{Heights of Fence Narrative} Find the probability that two randomly selected fences are both under 54 inches.

The continuity correction factor adds and subtracts the number ____________________ to/from x to find P(X = x).

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?

The expected value of is ____________________.

The standard deviation of is also called the ____________________ of the sample proportion.

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 the mean age exceeds 73 years?

Heights of Fences Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches. -{Heights of Fences Narrative} Find the probability that one randomly selected fence is under 54 inches.

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?

Heights of Fences Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches. -{Heights of Fence Narrative} Find the probability that the mean height of 4 randomly selected fences is under 54 inches.

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

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. -Describe the shape of the sampling distribution of the sample mean in this case.

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 the mean age is at most 73 years?

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