Question 1

The standard deviation of $\hat { p }$ is also called the ____________________ of the sample proportion.

Accepted Answer

5
five

Question 2

{Heights of Fence Narrative} Find the probability that the mean height of 4 randomly selected fences is under 54 inches.

Accepted Answer

0.8413

Question 3

A sampling distribution is defined as the probability distribution of means from all possible sample sizes that are taken from a given population.

Accepted Answer

A) True 
 B)False  False

Question 4

The variance of $\hat { p }$ is ____________________.

Accepted Answer

The answer of The variance of $\hat { p }$...

Question 5

College Dean
A college dean would like to estimate a population mean to within 40 units with 99% confidence given that the population standard deviation is 200.
-If all possible samples of size n are drawn from an infinite population with standard deviation 8,then the standard error of the sample mean equals 1.0 if the sample size is 64.

Accepted Answer

A) True 
 B)False

Question 6

Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 45 and 9,respectively.The mean and standard error of the sampling distribution of the sample mean are:

Accepted Answer

A)  45 and 9 
B)  45/81 and 9/81 
C)  45 and 9/$\surd$81 
D)  45/$\surd$81 and 9/$\surd$81 
A)  45 and 9 
B)  45/81 and 9/81 
C)  45 and 9/$\surd$81 
D)  45/$\surd$81 and 9/$\surd$81

Question 7

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 8

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 9

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 10

If two samples are selected independently from two non-normal populations,then the sampling distribution of $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ is only approximately normal provided that either n1 or n2 is 30 or more.

Accepted Answer

A) True 
 B)False

Question 11

College Dean
A college dean would like to estimate a population mean to within 40 units with 99% confidence given that the population standard deviation is 200.
-A sample of size 25 is selected from a population of size 75.The finite population correction needed to find the standard error of $\bar { X }$ .

Accepted Answer

A) True 
 B)False

Question 12

Graduate Internships
The chairman of the Biology department in a certain college believes that 70% of the department's graduate internships are given to international students.A random sample of 50 graduate interns is taken.
-{Graduate Internships Narrative} What is the probability that the sample proportion $\hat { p }$ is within $\pm$.05 of the population proportion p?

Accepted Answer

The answer of Graduate Internships
The chairman of the Biology department...

Question 13

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

Accepted Answer

A) True 
 B)False

Question 14

As the size of the sample is increased,the mean of $\bar { X }$ increases.

Accepted Answer

A) True 
 B)False

Question 15

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 16

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

Accepted Answer

n
the samp

Question 17

The estimator of the probability of success in a binomial distribution is: ____________________.

Accepted Answer

the sample

Question 18

If the population distribution is unknown,in most cases the sampling distribution of the mean can be approximated by the normal distribution if the samples contain at least 30 observations.

Accepted Answer

A) True 
 B)False

Question 19

Barack Obama
Bill Clinton,the former President of the United States,believes that the proportion of voters who will vote for Barack Obama in the year 2012 presidential elections is 0.65.A sample of 500 voters is selected at random.
-{Barack Obama Narrative} Assume that Gore is correct and p = 0.65.What is the sampling distribution of the sample proportion $\hat { p }$ ? Explain.

Accepted Answer

Approximately normal

Question 20

Which of the following statements about the sampling distribution of $\bar { X }$ is NOT true?

Accepted Answer

A)  It is generated by taking all possible samples of size n and computing their sample means. 
B)  Its mean is equal to the population mean $\mu$. 
C)  Its standard deviation is equal to the population standard deviation $\sigma$. 
D)  All of these choices are true. 
A)  It is generated by taking all possible samples of size n and computing their sample means. 
B)  Its mean is equal to the population mean $\mu$. 
C)  Its standard deviation is equal to the population standard deviation $\sigma$. 
D)  All of these choices are true.

Exam 9: Sampling Distributions

The standard deviation of p^\hat { p }p^​ is also called the ____________________ of the sample proportion.

{Heights of Fence Narrative} Find the probability that the mean height of 4 randomly selected fences is under 54 inches.

A sampling distribution is defined as the probability distribution of means from all possible sample sizes that are taken from a given population.

The variance of p^\hat { p }p^​ is ____________________.

Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 45 and 9,respectively.The mean and standard error of the sampling distribution of the sample mean are:

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

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

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

If two samples are selected independently from two non-normal populations,then the sampling distribution of Xˉ1−Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 }Xˉ1​−Xˉ2​ is only approximately normal provided that either n1 or n2 is 30 or more.

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

As the size of the sample is increased,the mean of Xˉ\bar { X }Xˉ increases.

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

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

The estimator of the probability of success in a binomial distribution is: ____________________.

If the population distribution is unknown,in most cases the sampling distribution of the mean can be approximated by the normal distribution if the samples contain at least 30 observations.

Which of the following statements about the sampling distribution of Xˉ\bar { X }Xˉ is NOT true?

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: 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

Analysis of Variance

Chi-Squared Tests

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

The standard deviation of $\hat { p }$ is also called the ____________________ of the sample proportion.

The variance of $\hat { p }$ is ____________________.

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

If two samples are selected independently from two non-normal populations,then the sampling distribution of $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ is only approximately normal provided that either n₁ or n₂ is 30 or more.

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

As the size of the sample is increased,the mean of $\bar { X }$ increases.

Which of the following statements about the sampling distribution of $\bar { X }$ is NOT true?