Question 1

The mean of the sampling distribution of 
is always equal to the mean of the sampled population.

Accepted Answer

A) True 
 B)False

Question 2

____________ says that if the sample size is sufficiently large,then the sample means are approximately normally distributed.

Accepted Answer

A)   Cluster sampling
B)   Sampling error
C)   Sampling distribution of the mean
D)   The Central Limit TheoremE) A) and B)
F) B) and C)

Question 3

Packages of sugar bags for Sweeter Sugar Inc.have an average weight of 16 ounces and a standard deviation of 0.2 ounces.The weights of the sugar packages are normally distributed.What is the probability that 16 randomly selected packages will have a weight in excess of 16.075 ounces?

Accepted Answer

A)   .0500
B)   .3520
C)   .9332
D)   .0668E) A) and C)
F) A) and D) D

Question 4

The population of all sample proportions has a normal distribution if the sample size (n) is sufficiently large.The rule of thumb for ensuring that n is sufficiently large is

Accepted Answer

A)   np ≥ 5.
B)   n(1 − p) ≥ 5.
C)   np ≤ 5.
D)   n(1 − p) ≤ 5 and np ≤ 5.
E)   np ≥ 5 and n(1 − p) ≥ 5.F) B) and D)
G) B) and C)

Question 5

The notation for the standard deviation of the sampling distribution of the sample mean is __________.

Accepted Answer

A)  
B)   σx
C)  
D)   μE) B) and C)
F) A) and B) A

Question 6

A random sample of size 36 is taken from a population with a mean of 50 and a standard deviation of 5.The sampling distribution of ____________________.

Accepted Answer

A)   cannot be determined
B)   is skewed to the left
C)   is approximately normal
D)   is skewed to the rightE) A) and B)
F) All of the above

Question 7

Consider a sampling distribution formed based on n = 3.The standard deviation of the population of all sample means is ______________ less than the standard deviation of the population of individual measurements σ.

Accepted Answer

A)   always
B)   sometimes
C)   neverD) A) and B)
E) All of the above

Question 8

The reason sample variance has a divisor of n − 1 rather than n is that it makes the variance an unbiased estimate of the population variance.

Accepted Answer

A) True 
 B)False

Question 9

If the sampled population has a mean of 48 and standard deviation of 16,then the mean and the standard deviation for the sampling distribution of for n = 16 are

Accepted Answer

A)   4 and 1.
B)   12 and 4.
C)   48 and 4.
D)   48 and 1.
E)   48 and 16.F) B) and D)
G) A) and E)

Question 10

As the sample size ______________,the variation of the sampling distribution of ___________.

Accepted Answer

A)   decreases,decreases
B)   increases,remains the same
C)   decreases,remains the same
D)   increases,decreases
E)   None of the other choices is correct.F) None of the above
G) B) and E)

Question 11

The standard deviation of all possible sample proportions increases as the sample size increases.

Accepted Answer

A) True 
 B)False

Question 12

The mean of the sampling distribution of the sample proportion is equal to _____ when the sample size is sufficiently large.

Accepted Answer

A)   μ
B)   p
C)   p × n
D)   (1 − p) E) A) and B)
F) B) and C)

Question 13

If p = .8 and n = 50,then we can conclude that the sampling distribution of 
is approximately a normal distribution.

Accepted Answer

A) True 
 B)False

Question 14

The ______________ of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.

Accepted Answer

A)   sample mean
B)   sampling Distribution of Sample Mean
C)   probability
D)   observationsE) A) and B)
F) A) and C) B

Question 15

The sampling distribution of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.

Accepted Answer

A) True 
 B)False

Question 16

An unbiased estimate of σ2 is _____.

Accepted Answer

A)   s
B)   s2
C)  2 is _____. 
A)   s 
B)   s2 
C)    
D)   σ" class="answers-bank-image d-inline" rel="preload" >
D)   σE) None of the above
F) All of the above

Question 17

For nonnormal populations,as the sample size (n) ___________________,the distribution of sample means approaches a(n) ________________ distribution.

Accepted Answer

A)   decreases,uniform
B)   increases,normal
C)   decreases,normal
D)   increases,uniform
E)   increases,exponentialF) C) and D)
G) A) and C)

Question 18

For large samples,the sampling distribution of  is approximately normal with a mean of _____.

Accepted Answer

A)   μ
B)   μ/√n
C)  
D)   zE) B) and C)
F) B) and D)

Question 19

Find P( x = 16,n = 16.

Accepted Answer

A)   .9944
B)   .4483
C)   .5517
D)   .1056E) A) and B)
F) None of the above

Question 20

If the sampled population distribution is skewed,then in most cases the sampling distribution of the mean can be approximated by the normal distribution if the sample size n is at least 30.

Accepted Answer

A) True 
 B)False

Exam 7: Sampling and Sampling Distributions

The mean of the sampling distribution of is always equal to the mean of the sampled population.

Correct AnswerverifiedShow Answer

____________ says that if the sample size is sufficiently large,then the sample means are approximately normally distributed.

Correct AnswerverifiedShow Answer

Packages of sugar bags for Sweeter Sugar Inc.have an average weight of 16 ounces and a standard deviation of 0.2 ounces.The weights of the sugar packages are normally distributed.What is the probability that 16 randomly selected packages will have a weight in excess of 16.075 ounces?

Correct AnswerverifiedD

The population of all sample proportions has a normal distribution if the sample size (n) is sufficiently large.The rule of thumb for ensuring that n is sufficiently large is

Correct AnswerverifiedShow Answer

The notation for the standard deviation of the sampling distribution of the sample mean is __________.

Correct AnswerverifiedA

A random sample of size 36 is taken from a population with a mean of 50 and a standard deviation of 5.The sampling distribution of ____________________.

Correct AnswerverifiedShow Answer

Consider a sampling distribution formed based on n = 3.The standard deviation of the population of all sample means is ______________ less than the standard deviation of the population of individual measurements σ.

Correct AnswerverifiedShow Answer

The reason sample variance has a divisor of n − 1 rather than n is that it makes the variance an unbiased estimate of the population variance.

Correct AnswerverifiedShow Answer

If the sampled population has a mean of 48 and standard deviation of 16,then the mean and the standard deviation for the sampling distribution of for n = 16 are

Correct AnswerverifiedShow Answer

As the sample size ______________,the variation of the sampling distribution of ___________.

Correct AnswerverifiedShow Answer

The standard deviation of all possible sample proportions increases as the sample size increases.

Correct AnswerverifiedShow Answer

The mean of the sampling distribution of the sample proportion is equal to _____ when the sample size is sufficiently large.

Correct AnswerverifiedShow Answer

If p = .8 and n = 50,then we can conclude that the sampling distribution of is approximately a normal distribution.

Correct AnswerverifiedShow Answer

The ______________ of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.

Correct AnswerverifiedB

The sampling distribution of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.

Correct AnswerverifiedShow Answer

An unbiased estimate of σ2 is _____.

Correct AnswerverifiedShow Answer

For nonnormal populations,as the sample size (n) ___________________,the distribution of sample means approaches a(n) ________________ distribution.

Correct AnswerverifiedShow Answer

For large samples,the sampling distribution of is approximately normal with a mean of _____.

Correct AnswerverifiedShow Answer

Find P( < 35) if μ = 40,σx = 16,n = 16.

Correct AnswerverifiedShow Answer

If the sampled population distribution is skewed,then in most cases the sampling distribution of the mean can be approximated by the normal distribution if the sample size n is at least 30.

Correct AnswerverifiedShow Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
D

Correct Answer
verified

Correct Answer
verified
A

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

As the sample size ____,the variation of the sampling distribution of _.

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
B

Correct Answer
verified

An unbiased estimate of σ² is _____.

Correct Answer
verified

For nonnormal populations,as the sample size (n) ___,the distribution of sample means approaches a(n) distribution.

Correct Answer
verified

Correct Answer
verified

Find P( < 35) if μ = 40,σ_x = 16,n = 16.

Correct Answer
verified

Correct Answer
verified