Question 1

A sampling distribution for   is the distribution of all possible sample means that could be computed from the possible samples of a given sample size.

Accepted Answer

A) True 
 B)False

Question 2

When a population is not normally distributed,the Central Limit Theorem states that a sufficiently large sample will result in the sample mean being normally distributed.

Accepted Answer

A) True 
 B)False

Question 3

When sampling from a population,the sample mean will:

Accepted Answer

A) typically exceed the population mean. 
B) likely be different from the population mean. 
C) always be closer to the population mean as the sample size increases. 
D) likely be equal to the population mean if proper sampling techniques are employed. 
A) typically exceed the population mean. 
B) likely be different from the population mean. 
C) always be closer to the population mean as the sample size increases. 
D) likely be equal to the population mean if proper sampling techniques are employed.

Question 4

Hillman Management Services manages apartment complexes in Tulsa,Oklahoma.They currently have 30 units available for rent.The monthly rental prices (in dollars)for this population of 30 units are:   What is the range of possible sampling error if a random sample of size n = 10 is selected?

Accepted Answer

A) -174.21 to 191.12 
B) -182.59 to 169.91 
C) -164.33 to 178.67 
D) -162.16 to 171.51 
A) -174.21 to 191.12 
B) -182.59 to 169.91 
C) -164.33 to 178.67 
D) -162.16 to 171.51

Question 5

A particular subdivision has 20 homes.The number of people living in each of these homes is listed as follows:   If a sample of size n = 5 is selected,the largest possible sample mean is:

Accepted Answer

A) 7 
B) 6.5 
C) 6 
D) 5.4 
A) 7 
B) 6.5 
C) 6 
D) 5.4

Question 6

The Chamber of Commerce in a large Midwestern city has stated that 70 percent of all business owners in the city favor increasing the downtown parking fees.The city council has commissioned a random sample of n = 100 business owners.Of these,63 said that they favor increasing the parking fees.What is the probability of 63 or fewer favoring the idea if the Chamber's claim is correct?

Accepted Answer

A) Approximately 0.0630 
B) About 0.4370 
C) Nearly 0.20 
D) About 0.9370 
A) Approximately 0.0630 
B) About 0.4370 
C) Nearly 0.20 
D) About 0.9370

Question 7

Explain what is meant by the concept of sampling distribution.

Accepted Answer

A population measure is called a paramet

Question 8

The size of the sampling error that comes from a random sample depends on both the variation in the population and the size of the sample being selected.

Accepted Answer

A) True 
 B)False

Question 9

In a particular city,the proportion of cars that would fail an air quality emissions test is thought to be 0.13.Given this,the probability that a random sample of n = 200 cars will have a sample proportion between 0.11 and 0.15 is approximately 0.60.

Accepted Answer

A) True 
 B)False

Question 10

A normally distributed population has a mean of 500 and a standard deviation of 60.Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 475.

Accepted Answer

A) 0.3251 
B) 0.7124 
C) 0.0475 
D) 0.0712 
A) 0.3251 
B) 0.7124 
C) 0.0475 
D) 0.0712

Question 11

The St.Joe Company grows pine trees and the average annual increase in tree diameter is 3.1 inches with a standard deviation of 0.5 inch.A random sample of n = 50 trees is collected.What is the probability of the sample mean being less the 2.9 inches?

Accepted Answer

A) 0.4977 
B) 0.0023 
C) 0.9977 
D) 0.9954 
A) 0.4977 
B) 0.0023 
C) 0.9977 
D) 0.9954

Question 12

A random sample of 500 customers at a large retail store was selected.These customers were asked whether they had a positive experience the last time they shopped there.Only 50 customers said that they did not have a positive experience.Thus,the population parameter for proportion of customers who did have a positive experience is .90.

Accepted Answer

A) True 
 B)False

Question 13

If it is desired that sampling error be reduced,one step that tends to work is to increase the sample size that is selected from the population.

Accepted Answer

A) True 
 B)False

Question 14

If you are sampling from a very large population,a doubling of the sample size will reduce the standard error of the sampling distribution by one-fourth.

Accepted Answer

A) True 
 B)False

Question 15

If a population standard deviation is 100,then the sampling distribution for   will have a standard deviation that is less than 100 for all sample sizes greater than 2.

Accepted Answer

A) True 
 B)False

Question 16

Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a standard deviation of 10 hours.If the manufacturer of the battery is able to reduce the standard deviation of battery life from 10 to 9 hours,what would be the probability that 16 batteries randomly sampled from the population will have a sample mean life of between 70 and 80 hours?

Accepted Answer

A) 0.6127 
B) 0.8124 
C) 0.9736 
D) 0.8812 
A) 0.6127 
B) 0.8124 
C) 0.9736 
D) 0.8812

Question 17

The sample mean is a parameter.

Accepted Answer

A) True 
 B)False

Question 18

If a random sample of 200 items is taken from a population in which the proportion of items having a desired attribute is p = 0.30,what is the probability that the proportion of successes in the sample will be less than or equal to 0.27?

Accepted Answer

A) 0.0841 
B) 0.1011 
C) 0.1912 
D) 0.1762 
A) 0.0841 
B) 0.1011 
C) 0.1912 
D) 0.1762

Question 19

The Olsen Agricultural Company has determined that the weight of hay bales is normally distributed with a mean equal to 80 pounds and a standard deviation equal to 8 pounds.Based on this,what is the probability that the mean weight of the bales in a sample of n = 64 bales will be between 78 and 82 pounds?

Accepted Answer

A) 0.4772 
B) 0.0228 
C) 0.6346 
D) 0.9544 
A) 0.4772 
B) 0.0228 
C) 0.6346 
D) 0.9544

Question 20

The Olsen Agricultural Company has determined that the weight of hay bales is normally distributed with a mean equal to 80 pounds and a standard deviation equal to 8 pounds.Based on this,what is the mean of the sampling distribution for   if the sample size is n = 64?

Accepted Answer

A) 80 
B) 10 
C) Between 72 and 88 
D) 8 
A) 80 
B) 10 
C) Between 72 and 88 
D) 8

A sampling distribution for is the distribution of all possible sample means that could be computed from the possible samples of a given sample size.

When a population is not normally distributed,the Central Limit Theorem states that a sufficiently large sample will result in the sample mean being normally distributed.

When sampling from a population,the sample mean will:

Hillman Management Services manages apartment complexes in Tulsa,Oklahoma.They currently have 30 units available for rent.The monthly rental prices (in dollars)for this population of 30 units are: What is the range of possible sampling error if a random sample of size n = 10 is selected?

A particular subdivision has 20 homes.The number of people living in each of these homes is listed as follows: If a sample of size n = 5 is selected,the largest possible sample mean is:

Explain what is meant by the concept of sampling distribution.

The size of the sampling error that comes from a random sample depends on both the variation in the population and the size of the sample being selected.

In a particular city,the proportion of cars that would fail an air quality emissions test is thought to be 0.13.Given this,the probability that a random sample of n = 200 cars will have a sample proportion between 0.11 and 0.15 is approximately 0.60.

A normally distributed population has a mean of 500 and a standard deviation of 60.Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 475.

The St.Joe Company grows pine trees and the average annual increase in tree diameter is 3.1 inches with a standard deviation of 0.5 inch.A random sample of n = 50 trees is collected.What is the probability of the sample mean being less the 2.9 inches?

If it is desired that sampling error be reduced,one step that tends to work is to increase the sample size that is selected from the population.

If you are sampling from a very large population,a doubling of the sample size will reduce the standard error of the sampling distribution by one-fourth.

If a population standard deviation is 100,then the sampling distribution for will have a standard deviation that is less than 100 for all sample sizes greater than 2.

The sample mean is a parameter.

If a random sample of 200 items is taken from a population in which the proportion of items having a desired attribute is p = 0.30,what is the probability that the proportion of successes in the sample will be less than or equal to 0.27?

The Olsen Agricultural Company has determined that the weight of hay bales is normally distributed with a mean equal to 80 pounds and a standard deviation equal to 8 pounds.Based on this,what is the mean of the sampling distribution for if the sample size is n = 64?

The Where,Why,and How of Data Collection

Graphs,Charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Filters

Exam 7: Introduction to Sampling Distributions

A sampling distribution for is the distribution of all possible sample means that could be computed from the possible samples of a given sample size.

When a population is not normally distributed,the Central Limit Theorem states that a sufficiently large sample will result in the sample mean being normally distributed.

When sampling from a population,the sample mean will:

Hillman Management Services manages apartment complexes in Tulsa,Oklahoma.They currently have 30 units available for rent.The monthly rental prices (in dollars)for this population of 30 units are: What is the range of possible sampling error if a random sample of size n = 10 is selected?

A particular subdivision has 20 homes.The number of people living in each of these homes is listed as follows: If a sample of size n = 5 is selected,the largest possible sample mean is:

Explain what is meant by the concept of sampling distribution.

The size of the sampling error that comes from a random sample depends on both the variation in the population and the size of the sample being selected.

In a particular city,the proportion of cars that would fail an air quality emissions test is thought to be 0.13.Given this,the probability that a random sample of n = 200 cars will have a sample proportion between 0.11 and 0.15 is approximately 0.60.

A normally distributed population has a mean of 500 and a standard deviation of 60.Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 475.

The St.Joe Company grows pine trees and the average annual increase in tree diameter is 3.1 inches with a standard deviation of 0.5 inch.A random sample of n = 50 trees is collected.What is the probability of the sample mean being less the 2.9 inches?

If it is desired that sampling error be reduced,one step that tends to work is to increase the sample size that is selected from the population.

If you are sampling from a very large population,a doubling of the sample size will reduce the standard error of the sampling distribution by one-fourth.

If a population standard deviation is 100,then the sampling distribution for will have a standard deviation that is less than 100 for all sample sizes greater than 2.

The sample mean is a parameter.

If a random sample of 200 items is taken from a population in which the proportion of items having a desired attribute is p = 0.30,what is the probability that the proportion of successes in the sample will be less than or equal to 0.27?

The Olsen Agricultural Company has determined that the weight of hay bales is normally distributed with a mean equal to 80 pounds and a standard deviation equal to 8 pounds.Based on this,what is the mean of the sampling distribution for if the sample size is n = 64?

The Where,Why,and How of Data Collection

Graphs,Charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Filters