Question 1

Under certain conditions where n is large enough, you can approximate the ____________________ distribution using the ____________________ distribution.

Accepted Answer

The answer of Under certain conditions where n is large...

Question 2

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 3

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

Accepted Answer

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

Question 4

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. {Mean Salary Narrative} 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 5

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 6

The expected value of  is ____________________.

Accepted Answer

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

Question 7

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...

Question 8

is approximately normally distributed provided that ____________________ and ____________________ are both greater than or equal to 5.

Accepted Answer

The answer of  is approximately normally distributed provided that...

Question 9

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. {Mean Salary Narrative} 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 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...

Question 11

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...

Question 12

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...

Question 13

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...

Question 14

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. (Retirees Narrative} 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 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} 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...

Question 16

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. (Retirees Narrative} 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 17

has an approximate normal distribution provided that np and n (1 - p )are both greater than or equal to ____________________.

Accepted Answer

The answer of  has an approximate normal distribution provided...

Question 18

The variance of  is ____________________.

Accepted Answer

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

Question 19

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...

Question 20

To find the binomial probability P ( X £ 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 (...

Quiz 8: Sampling Distributions

Under certain conditions where n is large enough, you can approximate the distribution using the distribution.

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

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

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

The expected value of is ____________________.

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.

is approximately normally distributed provided that and are both greater than or equal to 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 the mean height of 4 randomly selected fences is under 54 inches.

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.

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?

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. (Retirees Narrative} Find the mean and standard error of the sampling distribution of the sample mean.

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. (Retirees Narrative} Describe the shape of the sampling distribution of the sample mean in this case.

has an approximate normal distribution provided that np and n (1 - p )are both greater than or equal to ____________________.

The variance of is ____________________.

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