Question 1

The sample mean is the point estimator of

Accepted Answer

A) F1F1F1S1F1F1F10 
B) F1F1F1S1F1F1F10 
C)    
D)   
A) F1F1F1S1F1F1F10 
B) F1F1F1S1F1F1F10 
C)    
D)   A

Question 2

A simple random sample from a process (an infinite population) is a sample selected such that

Accepted Answer

A) each element selected comes from the same population 
B) each element is selected independently 
C) each element selected comes from the same population and each element is selected independently 
D) the probability of being selected changes 
A) each element selected comes from the same population 
B) each element is selected independently 
C) each element selected comes from the same population and each element is selected independently 
D) the probability of being selected changes C

Question 3

Roger Hall, who oversees six Ford dealerships, believes that the colors chosen by customers who special-order their cars best reflect most customers' true color preferences. For that reason, he has tabulated the color requests specified in a sample of 56 Mustang coupe special orders placed this year. The sample data are listed below.
   
a. What is the point estimate of the proportion of all Mustang coupe special orders that specify a color preference of black?
b. Describe the sampling distribution of   , where   is the proportion of Mustang coupe special orders that specify a color preference of black. Assume that the proportion of all Mustang coupe special orders having a color preference of black is .36. 
c. What is the probability that a simple random sample of 56 special orders will provide an estimate of the population proportion of special orders specifying the color black that is within plus or minus .05 of the actual population proportion, assuming p = .36? In other words, what is the probability that   will be between .31 and .41?

Accepted Answer

a. .32143
b. normally distributed with   = .36 and   = .064
c. .5646

Question 4

Consider a population of five families with the following data representing the number of pets in each family.
   
a.There are ten possible samples of size 2 (sampling without replacement). List the 10 possible samples of size 2, and determine the mean of each sample.
b.Determine the mean and the variance of the population.
c.Using the ten sample mean values, compute the mean and the standard error of the mean.

Accepted Answer

a. @#IMG-DLM& b.3.2

Question 5

A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the mean from that sample will be between 183 and 186 is

Accepted Answer

A) 0.1359 
B) 0.8185 
C) 0.3413 
D) 0.4772 
A) 0.1359 
B) 0.8185 
C) 0.3413 
D) 0.4772

Question 6

When the population has a normal distribution, the sampling distribution of   is normally distributed

Accepted Answer

A) for any sample size 
B) for any sample size of 30 or more 
C) for any sample size of 50 or more 
D) for any sample from a finite population 
A) for any sample size 
B) for any sample size of 30 or more 
C) for any sample size of 50 or more 
D) for any sample from a finite population

Question 7

A random sample of ten examination papers in a course that was given on a pass or fail basis showed the following scores.
   
a.What is the point estimate for the mean of the population?
b.What is the point estimate for the standard deviation of the population?
c.What is the point estimate for the proportion of all students who passed the course?

Accepted Answer

The answer of A random sample of ten examination papers...

Question 8

Ten percent of the items produced by a machine are defective. A random sample of 100 items is selected and checked for defects.
a.Determine the standard error of the proportion.
b.What is the probability that the sample will contain more than 2.5% defective units?
c.What is the probability that the sample will contain more than 13% defective units?

Accepted Answer

a.0.03
b.0

Question 9

Exhibit 7-4
A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces.
-Refer to Exhibit 7-4. In this problem the 0.22 is

Accepted Answer

A) a parameter 
B) a statistic 
C) the standard error of the mean 
D) the average content of colognes in the long run 
A) a parameter 
B) a statistic 
C) the standard error of the mean 
D) the average content of colognes in the long run

Question 10

The standard deviation of   is referred to as the

Accepted Answer

A) standard proportion 
B) sample proportion 
C) average proportion 
D) standard error of the proportion 
A) standard proportion 
B) sample proportion 
C) average proportion 
D) standard error of the proportion

Question 11

The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is

Accepted Answer

A) 15 
B) 10 
C) 20 
D) 125 
A) 15 
B) 10 
C) 20 
D) 125

Question 12

A population of 1,000 students spends an average of $10.50 a day on dinner. The standard deviation of the expenditure is $3. A simple random sample of 64 students is taken.
a.What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?
b.What is the probability that these 64 students will spend a combined total of more than $715.21?
c.What is the probability that these 64 students will spend a combined total between $703.59 and $728.45?

Accepted Answer

a.10.5; 0.

Question 13

The sampling distribution of the sample mean

Accepted Answer

A) is the probability distribution showing all possible values of the sample mean 
B) is used as a point estimator of the population mean F1F1F1S1F1F1F10 
C) is an unbiased estimator 
D) shows the distribution of all possible values of F1F1F1S1F1F1F10 
A) is the probability distribution showing all possible values of the sample mean 
B) is used as a point estimator of the population mean F1F1F1S1F1F1F10 
C) is an unbiased estimator 
D) shows the distribution of all possible values of F1F1F1S1F1F1F10

Question 14

All of the following are true about the standard error of the mean except

Accepted Answer

A) it is larger than the standard deviation of the population 
B) it decreases as the sample size increases 
C) its value is influenced by the standard deviation of the population 
D) it measures the variability in sample means 
A) it is larger than the standard deviation of the population 
B) it decreases as the sample size increases 
C) its value is influenced by the standard deviation of the population 
D) it measures the variability in sample means

Question 15

As the sample size increases, the

Accepted Answer

A) standard deviation of the population decreases 
B) population mean increases 
C) standard error of the mean decreases 
D) standard error of the mean increases 
A) standard deviation of the population decreases 
B) population mean increases 
C) standard error of the mean decreases 
D) standard error of the mean increases

Question 16

Scores for a standardized test are normally distributed with a mean of 1200 and a standard deviation of 60. A sample of 36 scores is selected.
a.What is the probability that the sample mean will be larger than 1224?
b.What is the probability that the sample mean will be less than 1230?
c.What is the probability that the sample mean will be between 1200 and 1214?
d.What is the probability that the sample mean will be greater than 1200?
e.What is the probability that the sample mean will be larger than 73.46?

Accepted Answer

a.0.0082
b

Question 17

The population being studied is usually considered ______ if it involves an ongoing process that makes listing or counting every element in the population impossible.

Accepted Answer

A) finite 
B) infinite 
C) skewed 
D) symmetric 
A) finite 
B) infinite 
C) skewed 
D) symmetric

Question 18

A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 82 is

Accepted Answer

A) 0.5228 
B) 0.9772 
C) 0.4772 
D) 0.0228 
A) 0.5228 
B) 0.9772 
C) 0.4772 
D) 0.0228

Question 19

The basis for using a normal probability distribution to approximate the sampling distribution of   is

Accepted Answer

A) Chebyshev's theorem 
B) the empirical rule 
C) the central limit theorem 
D) Bayes' theorem 
A) Chebyshev's theorem 
B) the empirical rule 
C) the central limit theorem 
D) Bayes' theorem

Question 20

A probability distribution for all possible values of a sample statistic is known as a

Accepted Answer

A) sample statistic 
B) parameter 
C) simple random sample 
D) sampling distribution 
A) sample statistic 
B) parameter 
C) simple random sample 
D) sampling distribution

The sample mean is the point estimator of

A simple random sample from a process (an infinite population) is a sample selected such that

A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the mean from that sample will be between 183 and 186 is

When the population has a normal distribution, the sampling distribution of is normally distributed

Exhibit 7-4 A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. -Refer to Exhibit 7-4. In this problem the 0.22 is

The standard deviation of is referred to as the

The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is

The sampling distribution of the sample mean

All of the following are true about the standard error of the mean except

As the sample size increases, the

The population being studied is usually considered ______ if it involves an ongoing process that makes listing or counting every element in the population impossible.

A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 82 is

The basis for using a normal probability distribution to approximate the sampling distribution of is

A probability distribution for all possible values of a sample statistic is known as a

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters

Exam 7: Sampling and Sampling Distributions

The sample mean is the point estimator of

A simple random sample from a process (an infinite population) is a sample selected such that

A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the mean from that sample will be between 183 and 186 is

When the population has a normal distribution, the sampling distribution of is normally distributed

Exhibit 7-4 A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. -Refer to Exhibit 7-4. In this problem the 0.22 is

The standard deviation of is referred to as the

The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is

The sampling distribution of the sample mean

All of the following are true about the standard error of the mean except

As the sample size increases, the

The population being studied is usually considered ______ if it involves an ongoing process that makes listing or counting every element in the population impossible.

A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 82 is

The basis for using a normal probability distribution to approximate the sampling distribution of is

A probability distribution for all possible values of a sample statistic is known as a

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters