The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation of 125 gallons. What is the shape, mean and standard deviation of the distribution of sample means from samples of size n = 81.

Normal, Normal, \mu_x μ x = 4000, \sigma_x σ x = 13.89

Normal, $$\mu_x$$ = 444, $$\sigma_x$$ = 125

Normal, Normal, \mu_x μ x = 4000, \sigma_x σ x = 1.543

Normal, Normal, \mu_x μ x = 444, \sigma_x σ x = 13.89

Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours. The distribution of sleep time is skewed to the left. What is the shape, mean, and standard deviation of the distribution of sample means from samples of size n = 400?

Approximately Normal, $$\mu_x$$ = 5.7 hours $$\sigma_x$$ = 0.085 hours

Skewed Left, \mu_x μ x = 5.7 hours \sigma_x σ x = 0.085 hours

Approximately Normal, \mu_x μ x = 5.7 hours \sigma_x σ x = 1.7 hours

Skewed Left, \mu_x μ x = 5.7 hours \sigma_x σ x = 1.7 hours

What happens to the shape of a sampling distribution of sample means as the sample size (n) increases?

It becomes narrower (less variability) and more normal.

It becomes narrower (less variability) and bimodal.

It becomes wider (more variability) and skewed right.

It becomes wider (more variability) and more normal.

If $$\mu\ =\ 100$$ and $$\sigma\ =\ 15$$ and repeated samples of size 10 are taken, what are the mean and standard deviation of the sampling distribution?

$$null$$ and $$\sigma_{x\ }=\frac{15}{\sqrt{10}}$$

$$\mu_x=\ 100$$ and $$\sigma_x\ =\ 15$$

$$null$$ and $$\sigma_{\ x}\ =\ \frac{\sqrt{15}}{10}$$

$$\mu_{x\ }=\ \frac{15}{\sqrt{10}}$$ and $$\sigma_{x\ }=\ 100$$

The mean length of a hospital stay in the US is 5.5 days with a standard deviation of 2.6 days. The population distribution of days is strongly skewed right. Random samples of 100 patients are taken. Describe the shape, center, and spread of the sampling distribution of .

Strongly skewed to the right with $$null$$ = 5.5 days and $$\sigma_x=\frac{2.6}{\sqrt{100}}=\frac{2.6}{10}=0.26$$ =

Strongly skewed to the right with $$\mu_x$$ = 5.5 days and $$\sigma_x$$ = 2.6 days

Strongly skewed to the right with $$null$$ = 5.5 days and $$\sigma_x=\frac{2.6}{100}=\ 0.026$$ =

Approximately normal with \mu_x μ x = 5.5 days and \sigma_x σ x = 2.6 days

Researchers found that boys playing high school football absorb an average of 355 hits to the head with a standard deviation of 80 hits during a season. If samples of 48 high school football players are randomly selected, what is the shape, mean and standard deviation of the distribution of sample means?

Approximately Normal, \mu_x μ x = 355 , \sigma_x σ x = 80

Approximately Normal, $$\mu_x$$ = 355 , $$\sigma_x$$ = 80

Normal, \mu_x μ x = 355 , \sigma_x σ x = 11.547

Normal, \mu_x μ x = 355 , \sigma_x σ x = 80

There were 5,317 previously owned homes sold in a western city in the year 2000. The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881. If all possible simple random samples of size 100 are drawn from this population and the mean is computed for each of these samples, which of the following describes the sampling distribution of the sample mean?

Approximately normal with mean $206,274 and standard deviation $3,788

Approximately normal with mean $206,274 and standard deviation $37,881

Approximately normal with mean $206,274 and standard deviation $520

Strongly right-skewed with mean $206,274 and standard deviation $3,788

Strongly right-skewed with mean $206,274 and standard deviation $37,881

What happens to the shape of a sampling distribution of sample means as n increases?

It becomes narrower (closer to the population's true mean) and more normal.

It becomes narrower (closer to the population's true mean) and bimodal.

It becomes wider (further from the population's true mean)and skewed right.

It becomes wider (further to the population's true mean)and more normal.

Sampling Distribution of Sample Means Quiz

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

These symbols represent the mean and standard deviation for which of the following distributions?

The Population Distribution

The Distribution of the Sample

The Distribution of the Sample Means (Sampling Distribution)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

These symbols represent the mean and standard deviation for which of the following distributions?

The Population Distribution

The Distribution of the Sample

The Distribution of the Sample Means (Sampling Distribution)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean of a population is μ = 200 the standard deviation is σ = 20. Random samples of size 25 are taken from this population.
What is the mean of the sampling distribution?

200

16

25

4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean of a population is μ = 200 the standard deviation is σ = 20. Random samples of size 25 are taken from this population.
What is the standard deviation of the sampling distribution?

200

16

25

4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

50

25

20

5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25.
What is the mean of the sampling distribution?

200

16

25

4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The average speed of 1500 vehicles traveling on a stretch of highway one particular day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the mean of the resulting sampling distribution of sample means?

63.5

67

70.5

74

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Sampling Distribution of Sample Means

These symbols represent the mean and standard deviation for which of the following distributions?

These symbols represent the mean and standard deviation for which of the following distributions?

The mean of a population is μ = 200 the standard deviation is σ = 20. Random samples of size 25 are taken from this population.
What is the mean of the sampling distribution?

The mean of a population is μ = 200 the standard deviation is σ = 20. Random samples of size 25 are taken from this population.
What is the standard deviation of the sampling distribution?

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25.
What is the mean of the sampling distribution?

The average speed of 1500 vehicles traveling on a stretch of highway one particular day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the mean of the resulting sampling distribution of sample means?

The average speed of 1500 vehicles traveled on a stretch of highway that day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the mean of the resulting sampling distribution of sample means?

The mean of the sampling distribution for average taxi fare where the sample size is 25 is _____.

The mean of the sampling distribution is the same as the mean of the population.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Sampling Distribution of Sample Means

These symbols represent the mean and standard deviation for which of the following distributions?

These symbols represent the mean and standard deviation for which of the following distributions?

The mean of a population is μ = 200 the standard deviation is σ = 20. Random samples of size 25 are taken from this population.What is the mean of the sampling distribution?

The mean of a population is μ = 200 the standard deviation is σ = 20. Random samples of size 25 are taken from this population.What is the standard deviation of the sampling distribution?

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. What is the mean of the sampling distribution?

The average speed of 1500 vehicles traveling on a stretch of highway one particular day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the mean of the resulting sampling distribution of sample means?

The average speed of 1500 vehicles traveled on a stretch of highway that day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the mean of the resulting sampling distribution of sample means?

The mean of the sampling distribution for average taxi fare where the sample size is 25 is _____.

The mean of the sampling distribution is the same as the mean of the population.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The mean of a population is μ = 200 the standard deviation is σ = 20. Random samples of size 25 are taken from this population.
What is the mean of the sampling distribution?

The mean of a population is μ = 200 the standard deviation is σ = 20. Random samples of size 25 are taken from this population.
What is the standard deviation of the sampling distribution?

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25.
What is the mean of the sampling distribution?