Question 1

Using information from a sample to reach conclusions about the population from which it was drawn is referred to as ____________________.

Accepted Answer

inferential statistics

Question 2

A manufacturer of printers claims that their color cartridge will print an average of 200 4-by-6 photos with a standard deviation of 60 photos.A random sample of 40 customers counted the number of photos printed with one cartridge.If the manufacturer's claim is correct,what is the probability that the average customer printed at least 185 pages with one cartridge?

Accepted Answer

0.9429

Question 3

An airline,in response to passenger concern,conducts realistic tests to determine the time needed to evacuate a Boeing 737.Average evacuation time in the past has been 100 seconds with a standard deviation of 15 seconds.The FFA requires tests that show a planeload of passengers can be evacuated in 92 seconds.If the airline conducts a sample of 30 tests,what is the probability that the average evacuation time will be ninety-two seconds or less?

Accepted Answer

0.0018

Question 4

In opposing the establishment of a new bank in a community an existing bank stated that the area to be served by the proposed bank contained 75 percent of its accounts.An economic consulting firm randomly sampled the households to determine the sample proportion,p,which had accounts at the existing bank.The sample size was 225.Find the probability that p is:
A)Less than 69 percent.
B)More than 78 percent.
C)Within 0.05 of the true proportion stated as 0.75.

Accepted Answer

A.0.0188;

Question 5

The sampling distribution of the mean will have the same standard deviation as the original population from which the samples were drawn.

Accepted Answer

A) True 
 B)False

Question 6

The Coca-Cola Company has 40% of the cola market.The probability that a sample proportion for n = 30 falls within 0.10 of the true population proportion of 0.40,which represents the proportion of cola drinkers who prefer a Coca-Cola drink is:

Accepted Answer

A)  0.7372. 
B)  0.3686. 
C)  0.4599. 
D)  0.9198. 
E)  not enough information given to make calculation. 
A)  0.7372. 
B)  0.3686. 
C)  0.4599. 
D)  0.9198. 
E)  not enough information given to make calculation.

Question 7

Vehicles
Four families live on a cul-de-sac represent a very small population.The number of vehicles owned by each family is shown below: $$\begin{array} { | c | c | } 
\hline \text { Family } & \boldsymbol { x } = \text { Number of ve hicles } \
\hline \text { Ali } & 1 \
\text { Brown } & 1 \
\text { Cosby } & 2 \
\text { Davis } & 3 \
\hline
\end{array}$$
-Assume that all possible simple random samples of size two are taken from this population,and the mean number of vehicles for each sample is calculated.Describe the probability distribution of the means.

Accepted Answer

\[\begin{array} { | c | c }

Question 8

For each of the following combinations of n and $\pi$
 ,calculate the standard error of the sampling distribution of the sample proportion p.
A)n = 100; $\pi$
 = 0.30
B)n = 200; $\pi$
 = 0.65
C)n = 500; $\pi$
 = 0.25
D)n = 1000; $\pi$
 = 0.70

Accepted Answer

A.0.0458;

Question 9

According to the central limit theorem,samples of size 36 from a Poisson population with a mean of 9 should have a mean ____________________ and a standard error of ____________________.

Accepted Answer

The answer of According to the central limit theorem,samples of...

Question 10

The probability of a success on any trial of a binomial experiment is 20%.Find the probability that the proportion of success in a sample of 400 is less than 18%.

Accepted Answer

The answer of The probability of a success on any...

Question 11

The Sunbelt City Peewee baseball organization has ordered 48 dozen balls from the Liteflite Company for use in its summer program.The company has guaranteed a 10% discount on the total cost if 32 or more of the balls are defective.Experience in the past has shown 5% defects.A sample of 50 balls will be taken,and the discount will be given if the sample proportion of defective balls is at least 32 in 48 dozen.What is the probability that the organization will get the 10% discount?

Accepted Answer

The answer of The Sunbelt City Peewee baseball organization has...

Question 12

The sampling distribution of the mean will be normal if the original population from which the samples were drawn is normally distributed.

Accepted Answer

A) True 
 B)False

Question 13

The number of all possible simple random samples of size 2 that can be taken from a population of 5 elements is 6.

Accepted Answer

A) True 
 B)False

Question 14

The average speed of cars passing a checkpoint is 60 miles per hour with a standard deviation of 8 miles per hour.Fifty (50)passing cars are clocked at random from this checkpoint.The probability that the sample mean will be between 57 and 62 miles per hour is:

Accepted Answer

A)  0.9576. 
B)  0.9960. 
C)  0.2467. 
D)  0.3520. 
E)  0.4659 
A)  0.9576. 
B)  0.9960. 
C)  0.2467. 
D)  0.3520. 
E)  0.4659

Question 15

The publisher of a daily newspaper claims that 90% of its subscribers are under the age of 30.Suppose that a sample of 300 subscribers is selected at random.Assuming the claim is correct,approximate the probability of finding at least 240 subscribers in the sample under the age of 30.

Accepted Answer

The answer of The publisher of a daily newspaper claims...

Question 16

Assume that all possible simple random samples of size two are taken from this population,and that the original population is normally distributed.Apply the Central Limit Theorem to find the standard error of the sampling distribution of sample means.

Accepted Answer

The answer of Assume that all possible simple random samples...

Question 17

Samples of size 2 will be drawn at random from the population.Calculate the mean and standard deviation of the sampling distribution of the sample mean.

Accepted Answer

\[\begin{array} { l } 
\mu _ {

Question 18

The standard error for the sampling distribution of the mean is equal to $\frac { \sigma } { \sqrt { n } }$ .

Accepted Answer

A) True 
 B)False

Question 19

The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12.The probability that the average sales per customer from a sample of 36 customers,taken at random from this population,exceeds $78 is:

Accepted Answer

A)  0.4332. 
B)  0.0668. 
C)  0.0987. 
D)  0.9013. 
E)  0.5000 
A)  0.4332. 
B)  0.0668. 
C)  0.0987. 
D)  0.9013. 
E)  0.5000

Question 20

Determine the sampling distribution of $\bar { x }$ for all possible samples of 2 families that can be selected without replacement from this population and calculate the mean and standard deviation of $\bar { x }$ .

Accepted Answer

\[\begin{array} { | c | c | c | c | c |

Using information from a sample to reach conclusions about the population from which it was drawn is referred to as ____________________.

The sampling distribution of the mean will have the same standard deviation as the original population from which the samples were drawn.

The Coca-Cola Company has 40% of the cola market.The probability that a sample proportion for n = 30 falls within 0.10 of the true population proportion of 0.40,which represents the proportion of cola drinkers who prefer a Coca-Cola drink is:

For each of the following combinations of n and $\pi$ ,calculate the standard error of the sampling distribution of the sample proportion p. A)n = 100; $\pi$ = 0.30 B)n = 200; $\pi$ = 0.65 C)n = 500; $\pi$ = 0.25 D)n = 1000; $\pi$ = 0.70

According to the central limit theorem,samples of size 36 from a Poisson population with a mean of 9 should have a mean and a standard error of .

The probability of a success on any trial of a binomial experiment is 20%.Find the probability that the proportion of success in a sample of 400 is less than 18%.

The sampling distribution of the mean will be normal if the original population from which the samples were drawn is normally distributed.

The number of all possible simple random samples of size 2 that can be taken from a population of 5 elements is 6.

The average speed of cars passing a checkpoint is 60 miles per hour with a standard deviation of 8 miles per hour.Fifty (50)passing cars are clocked at random from this checkpoint.The probability that the sample mean will be between 57 and 62 miles per hour is:

The publisher of a daily newspaper claims that 90% of its subscribers are under the age of 30.Suppose that a sample of 300 subscribers is selected at random.Assuming the claim is correct,approximate the probability of finding at least 240 subscribers in the sample under the age of 30.

Assume that all possible simple random samples of size two are taken from this population,and that the original population is normally distributed.Apply the Central Limit Theorem to find the standard error of the sampling distribution of sample means.

Samples of size 2 will be drawn at random from the population.Calculate the mean and standard deviation of the sampling distribution of the sample mean.

The standard error for the sampling distribution of the mean is equal to $\frac { \sigma } { \sqrt { n } }$ .

The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12.The probability that the average sales per customer from a sample of 36 customers,taken at random from this population,exceeds $78 is:

Determine the sampling distribution of $\bar { x }$ for all possible samples of 2 families that can be selected without replacement from this population and calculate the mean and standard deviation of $\bar { x }$ .

A Preview of Business Statistics

Visual Description of Data

Statistical Description of Data

Data Collection and Sampling Methods

Probability: Review of Basic Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Estimation From Sample Data

Hypothesis Tests Involving a Sample Mean or Proportion

Hypothesis Tests Involving Two Sample Means

Analysis of Variance Tests

Chi-Square Applications

Nonparametric Methods

Simple Linear Regression and Correlation

Multiple Regression and Correlation

Model Building

Models for Time Series and Forecasting

Decision Theory

Total Quality Management

Filters

Exam 8: Sampling Distributions

Using information from a sample to reach conclusions about the population from which it was drawn is referred to as ____________________.

The sampling distribution of the mean will have the same standard deviation as the original population from which the samples were drawn.

The Coca-Cola Company has 40% of the cola market.The probability that a sample proportion for n = 30 falls within 0.10 of the true population proportion of 0.40,which represents the proportion of cola drinkers who prefer a Coca-Cola drink is:

For each of the following combinations of n and π\piπ ,calculate the standard error of the sampling distribution of the sample proportion p. A)n = 100; π\piπ = 0.30 B)n = 200; π\piπ = 0.65 C)n = 500; π\piπ = 0.25 D)n = 1000; π\piπ = 0.70

According to the central limit theorem,samples of size 36 from a Poisson population with a mean of 9 should have a mean ____________________ and a standard error of ____________________.

The probability of a success on any trial of a binomial experiment is 20%.Find the probability that the proportion of success in a sample of 400 is less than 18%.

The sampling distribution of the mean will be normal if the original population from which the samples were drawn is normally distributed.

The number of all possible simple random samples of size 2 that can be taken from a population of 5 elements is 6.

The average speed of cars passing a checkpoint is 60 miles per hour with a standard deviation of 8 miles per hour.Fifty (50)passing cars are clocked at random from this checkpoint.The probability that the sample mean will be between 57 and 62 miles per hour is:

The publisher of a daily newspaper claims that 90% of its subscribers are under the age of 30.Suppose that a sample of 300 subscribers is selected at random.Assuming the claim is correct,approximate the probability of finding at least 240 subscribers in the sample under the age of 30.

Assume that all possible simple random samples of size two are taken from this population,and that the original population is normally distributed.Apply the Central Limit Theorem to find the standard error of the sampling distribution of sample means.

Samples of size 2 will be drawn at random from the population.Calculate the mean and standard deviation of the sampling distribution of the sample mean.

The standard error for the sampling distribution of the mean is equal to σn\frac { \sigma } { \sqrt { n } }n​σ​ .

The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12.The probability that the average sales per customer from a sample of 36 customers,taken at random from this population,exceeds $78 is:

Determine the sampling distribution of xˉ\bar { x }xˉ for all possible samples of 2 families that can be selected without replacement from this population and calculate the mean and standard deviation of xˉ\bar { x }xˉ .

A Preview of Business Statistics

Visual Description of Data

Statistical Description of Data

Data Collection and Sampling Methods

Probability: Review of Basic Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Estimation From Sample Data

Hypothesis Tests Involving a Sample Mean or Proportion

Hypothesis Tests Involving Two Sample Means

Analysis of Variance Tests

Chi-Square Applications

Nonparametric Methods

Simple Linear Regression and Correlation

Multiple Regression and Correlation

Model Building

Models for Time Series and Forecasting

Decision Theory

Total Quality Management

Filters

For each of the following combinations of n and $\pi$ ,calculate the standard error of the sampling distribution of the sample proportion p. A)n = 100; $\pi$ = 0.30 B)n = 200; $\pi$ = 0.65 C)n = 500; $\pi$ = 0.25 D)n = 1000; $\pi$ = 0.70

According to the central limit theorem,samples of size 36 from a Poisson population with a mean of 9 should have a mean and a standard error of .

The standard error for the sampling distribution of the mean is equal to $\frac { \sigma } { \sqrt { n } }$ .

Determine the sampling distribution of $\bar { x }$ for all possible samples of 2 families that can be selected without replacement from this population and calculate the mean and standard deviation of $\bar { x }$ .