Question 1

The following table shows the population probability distribution of x,the random variable representing the price per ticket,in dollars,for 20 upcoming concerts at a certain community's civic center.
  How many of the 20 concerts will cost $53 per ticket?

Accepted Answer

The answer of The following table shows the population probability...

Question 2

A company has 15,000 employees and 10,800 of them have completed a particular training course.Management decides to choose a random sample from all employees.What is the minimum number of employees that must be in the sample in order to use the Central Limit Theorem to approximate the distribution of the proportion in the sample who have taken the training course?

Accepted Answer

The answer of A company has 15,000 employees and 10,800...

Question 3

There are 2,000 bicycles in a community.The owners of 1,250 of these bicycles also own locks for the bikes.A sample of 184 bicycles is chosen,and it just so happens that the proportion of bicycles in the sample that have locks is the same as that for the entire community.How many of the bicycles in the sample have locks?

Accepted Answer

The answer of There are 2,000 bicycles in a community.The...

Question 4

A continuous random variable x has a normal distribution with a mean of 51 and a standard deviation of 26.The sampling distribution of the sample mean for a sample of 16 elements has what mean and standard deviation?

Accepted Answer

The answer of A continuous random variable x has a...

Question 5

Suppose the number of books consulted by a student last weekend has distribution Let X₁ and X₂ be independent and each have the same distribution as the population. Determine the missing elements in the table for the sampling distribution of .

Accepted Answer

The answer of Suppose the number of books consulted by...

Question 6

For a sample from a normal distribution with standard deviation  ,the standard deviation of the sampling distribution of the sample mean is  /3.What is the size of the sample?

Accepted Answer

The answer of For a sample from a normal distribution...

Question 7

You ask 2,500 actors in the Screen Actors Guild (SAG)if they have ever appeared in a production of Shakespeare's King Lear.1,225 of them say "yes",while the others say "no".The value p is the proportion of the actors who have appeared in King Lear.You next draw a random sample of 11 actors from the SAG.What are the mean and standard deviation of the sample proportion? Round the mean to two decimal places and the standard deviation to four decimal places.

Accepted Answer

The answer of You ask 2,500 actors in the Screen...

Question 8

Suppose you are analyzing four different brands of soda.The sodium content,in milligrams,of one can of each of these brands has a distribution with a mean of 45.2 mg and a standard deviation of 8.8600 mg.You take a random sample of 2 cans from a large supply of cans including all four brands of soda.Let  be the mean of this sample.What are the mean and standard deviation of the sampling distribution of  ?

Accepted Answer

The answer of Suppose you are analyzing four different brands...

Question 9

A continuous random variable x has a right-skewed distribution with a mean of 72 and a standard deviation of 36.The sampling distribution of the sample mean for a sample of 100 elements has what mean and standard deviation?

Accepted Answer

The answer of A continuous random variable x has a...

Question 10

A population consists of five elements: 5,6,8,10,and 13.You choose a random sample of three elements from this population (without replacement).Which of the following is not a possible value of the sample mean?

Accepted Answer

The sample means are calculated by taking the sum of any three elements and dividing by 3. The possible sums are 19, 21, 23, 24, 26, 28, 29, 31, and 33, leading to possible means of 6.33, 7.00, 7.67, 8.00, 8.67, 9.33, 9.67, 10.33, and 11.00. 10.67 is not one of these possible means.

Question 11

All 1,035 members at a country club take part in a contest to see who can drive a golf ball the farthest.Each member takes three swings,and his/her best drive is entered into the contest.The distances of the drives entered into the contest have a mean of 188.3 yards and a standard deviation of 16.2 yards.You select a sample of 43 drives,what is the probability,rounded to four decimal places,that the mean of the sample exceeds 192 yards?

Accepted Answer

The answer of All 1,035 members at a country club...

Question 12

Extensive data suggest that the number of overtime hours paid by a large company per month can be modeled as distribution with mean 3.5 and standard deviation 1.4. If P₁ is the probability that the mean of a sample of size 55 lies in the interval (2.9,4.1)and P₂ is the probability that the mean of a sample of size 110 lies in the interval (2.9,4.1),then

Accepted Answer

As the sample size increases, the standard error decreases, making the sample mean more likely to be close to the population mean. Therefore, P2 > P1.

Question 13

A continuous random variable x has a left-skewed distribution with a mean of 101 and a standard deviation of 72.The sampling distribution of the sample mean for a sample of 64 elements has what mean and standard deviation?

Accepted Answer

The answer of A continuous random variable x has a...

Question 14

A continuous random variable x has a normal distribution with a mean of 65 and a standard deviation of 21.In the sampling distribution of the sample mean for a sample of 25 elements,what is the z-score for a sample mean of 68.36?

Accepted Answer

The answer of A continuous random variable x has a...

Question 15

You select 15 people at random from a population of 10,000 and ask them how many movies they have rented in the past month.Their responses are:
4 0 6 0 8 3 7 6 5 0 1 4 2 9 5
You know that the mean number of movies rented in the past month by the population is 5.0.Assuming that you made no non-sampling errors,what is the sampling error for the mean?

Accepted Answer

The answer of You select 15 people at random from...

Question 16

The number of hot dogs sold per game at one concession stand at a baseball park is normally distributed with  = 23,750 and  = 106.You select 13 games at random,and the mean number of hot dogs sold,  ,is denoted.What is the standard deviation of  ,rounded to three decimal places?

Accepted Answer

The answer of The number of hot dogs sold per...

Quiz 7: Sampling Distributions

The following table shows the population probability distribution of x,the random variable representing the price per ticket,in dollars,for 20 upcoming concerts at a certain community's civic center. How many of the 20 concerts will cost $53 per ticket?

A continuous random variable x has a normal distribution with a mean of 51 and a standard deviation of 26.The sampling distribution of the sample mean for a sample of 16 elements has what mean and standard deviation?

Suppose the number of books consulted by a student last weekend has distribution Let X₁ and X₂ be independent and each have the same distribution as the population. Determine the missing elements in the table for the sampling distribution of .

For a sample from a normal distribution with standard deviation ,the standard deviation of the sampling distribution of the sample mean is /3.What is the size of the sample?

A continuous random variable x has a right-skewed distribution with a mean of 72 and a standard deviation of 36.The sampling distribution of the sample mean for a sample of 100 elements has what mean and standard deviation?

A population consists of five elements: 5,6,8,10,and 13.You choose a random sample of three elements from this population (without replacement) .Which of the following is not a possible value of the sample mean?

A continuous random variable x has a left-skewed distribution with a mean of 101 and a standard deviation of 72.The sampling distribution of the sample mean for a sample of 64 elements has what mean and standard deviation?

A continuous random variable x has a normal distribution with a mean of 65 and a standard deviation of 21.In the sampling distribution of the sample mean for a sample of 25 elements,what is the z-score for a sample mean of 68.36?

The number of hot dogs sold per game at one concession stand at a baseball park is normally distributed with = 23,750 and = 106.You select 13 games at random,and the mean number of hot dogs sold, ,is denoted.What is the standard deviation of ,rounded to three decimal places?

Quiz 7: Sampling Distributions

The following table shows the population probability distribution of x,the random variable representing the price per ticket,in dollars,for 20 upcoming concerts at a certain community's civic center. How many of the 20 concerts will cost $53 per ticket?

A continuous random variable x has a normal distribution with a mean of 51 and a standard deviation of 26.The sampling distribution of the sample mean for a sample of 16 elements has what mean and standard deviation?

Suppose the number of books consulted by a student last weekend has distribution Let X1 and X2 be independent and each have the same distribution as the population. Determine the missing elements in the table for the sampling distribution of .

For a sample from a normal distribution with standard deviation ,the standard deviation of the sampling distribution of the sample mean is /3.What is the size of the sample?

A continuous random variable x has a right-skewed distribution with a mean of 72 and a standard deviation of 36.The sampling distribution of the sample mean for a sample of 100 elements has what mean and standard deviation?

A population consists of five elements: 5,6,8,10,and 13.You choose a random sample of three elements from this population (without replacement) .Which of the following is not a possible value of the sample mean?

A continuous random variable x has a left-skewed distribution with a mean of 101 and a standard deviation of 72.The sampling distribution of the sample mean for a sample of 64 elements has what mean and standard deviation?

A continuous random variable x has a normal distribution with a mean of 65 and a standard deviation of 21.In the sampling distribution of the sample mean for a sample of 25 elements,what is the z-score for a sample mean of 68.36?

The number of hot dogs sold per game at one concession stand at a baseball park is normally distributed with = 23,750 and = 106.You select 13 games at random,and the mean number of hot dogs sold, ,is denoted.What is the standard deviation of ,rounded to three decimal places?

Suppose the number of books consulted by a student last weekend has distribution Let X₁ and X₂ be independent and each have the same distribution as the population. Determine the missing elements in the table for the sampling distribution of .