Question 1

The following data was collected from a simple random sample of a population. 13 15 14 16 12
The point estimate of the population standard deviation is

Accepted Answer

A) 2.500 
B) 1.581 
C) 2.000 
D) 1.414 
A) 2.500 
B) 1.581 
C) 2.000 
D) 1.414

Question 2

A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is

Accepted Answer

A) 0 
B) .0495 
C) .4505 
D) .9505 
A) 0 
B) .0495 
C) .4505 
D) .9505

Question 3

How many simple random samples of size 5 can be selected from a population of size 8?

Accepted Answer

A) 40 
B) 68 
C) 336 
D) 56 
A) 40 
B) 68 
C) 336 
D) 56

Question 4

A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within ±2 of the population mean?

Accepted Answer

A) 0.6826 
B) 0.3413 
C) -0.6826 
D) Since the mean is not given, there is no answer to this question. 
A) 0.6826 
B) 0.3413 
C) -0.6826 
D) Since the mean is not given, there is no answer to this question.

Question 5

Students of a large university spend an average of $5 a day on lunch. The standard deviation of the expenditure is $3. A simple random sample of 36 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 the sample mean will be at least $4?
c.What is the probability that the sample mean will be at least $5.90?

Accepted Answer

a.5.0; 0.5

Question 6

Which of the following sampling methods does not lead to probability samples?

Accepted Answer

A) stratified sampling 
B) cluster sampling 
C) systematic sampling 
D) convenience sampling 
A) stratified sampling 
B) cluster sampling 
C) systematic sampling 
D) convenience sampling

Question 7

A new soft drink is being market tested. It is estimated that 60% of consumers will like the new drink. A sample of 96 taste tested the new drink.
a.Determine the standard error of the proportion
b.What is the probability that more than 70.4% of consumers will indicate they like the drink?
c.What is the probability that more than 30% of consumers will indicate they do not like the drink?

Accepted Answer

a.0.05
b.0

Question 8

The milk prices (in quarts) from a sample of 9 convenience stores in Chattanooga, Tennessee are shown below.   
a.What is the point estimate for the prices of all convenience stores in Chattanooga?
b.What is the point estimate for the standard deviation of the population?

Accepted Answer

The answer of The milk prices (in quarts) from a...

Question 9

In point estimation

Accepted Answer

A) data from the population is used to estimate the population parameter 
B) data from the sample is used to estimate the population parameter 
C) data from the sample is used to estimate the sample statistic 
D) the mean of the population equals the mean of the sample 
A) data from the population is used to estimate the population parameter 
B) data from the sample is used to estimate the population parameter 
C) data from the sample is used to estimate the sample statistic 
D) the mean of the population equals the mean of the sample

Question 10

The SAT scores have an average of 1200 with 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 11

A sample of 51 observations will be taken from an infinite population. The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

Accepted Answer

A) 0.8633 
B) 0.6900 
C) 0.0819 
D) 0.0345 
A) 0.8633 
B) 0.6900 
C) 0.0819 
D) 0.0345

Question 12

The probability distribution of all possible values of the sample proportion   is the

Accepted Answer

A) probability density function of   
B) sampling distribution of   
C) same as   , since it considers all possible values of the sample proportion 
D) sampling distribution of   
A) probability density function of   
B) sampling distribution of   
C) same as   , since it considers all possible values of the sample proportion 
D) sampling distribution of

Question 13

A simple random sample of size n from an infinite population of size N is to be selected. Each possible sample should have

Accepted Answer

A) the same probability of being selected 
B) a probability of 1/n of being selected 
C) a probability of 1/N of being selected 
D) a probability of N/n of being selected 
A) the same probability of being selected 
B) a probability of 1/n of being selected 
C) a probability of 1/N of being selected 
D) a probability of N/n of being selected

Question 14

As the sample size increases, the variability among the sample means

Accepted Answer

A) increases 
B) decreases 
C) remains the same 
D) depends upon the specific population being sampled 
A) increases 
B) decreases 
C) remains the same 
D) depends upon the specific population being sampled

Question 15

Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196. The distribution of the population is unknown. The mean and the standard error of the mean are

Accepted Answer

A) 180 and 24.39 
B) 180 and 28 
C) 180 and 2 
D) 180 and 1.74 
A) 180 and 24.39 
B) 180 and 28 
C) 180 and 2 
D) 180 and 1.74

Question 16

Exhibit 7-3
In a local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a particular study.
-Refer to Exhibit 7-3. The standard deviation of   , known as the standard error of the proportion is approximately

Accepted Answer

A) 0.5477 
B) 5.477 
C) 0.05477 
D) 54.77 
A) 0.5477 
B) 5.477 
C) 0.05477 
D) 54.77

Question 17

An automotive repair shop has determined that the average service time on an automobile is 2 hours with a standard deviation of 32 minutes. A random sample of 64 services is selected.
a.What is the probability that the sample of 64 will have a mean service time greater than 114 minutes?
b.Assume the population consists of 400 services. Determine the standard error of the mean.

Accepted Answer

The answer of An automotive repair shop has determined that...

Question 18

In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded.
a.Compute the standard error of the proportion.
b.What is the probability that the sample contains at least 12 business majors?
c.What is the probability that the sample contains less than 15 business majors?
d.What is the probability that the sample contains between 12 and 14 business majors?

Accepted Answer

a.0.04
b.0

Question 19

A population has a mean of 75 and a standard deviation of 8. A random sample of 800 is selected. The expected value of   is

Accepted Answer

A) 8 
B) 75 
C) 800 
D) None of these alternatives is correct. 
A) 8 
B) 75 
C) 800 
D) None of these alternatives is correct.

Question 20

A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

Accepted Answer

A) 500 and 0.047 
B) 500 and 0.050 
C) 0.5 and 0.047 
D) 0.5 and 0.050 
A) 500 and 0.047 
B) 500 and 0.050 
C) 0.5 and 0.047 
D) 0.5 and 0.050

The following data was collected from a simple random sample of a population. 13 15 14 16 12 The point estimate of the population standard deviation is

A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is

How many simple random samples of size 5 can be selected from a population of size 8?

A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within ±2 of the population mean?

Which of the following sampling methods does not lead to probability samples?

The milk prices (in quarts) from a sample of 9 convenience stores in Chattanooga, Tennessee are shown below. a.What is the point estimate for the prices of all convenience stores in Chattanooga? b.What is the point estimate for the standard deviation of the population?

In point estimation

A sample of 51 observations will be taken from an infinite population. The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

The probability distribution of all possible values of the sample proportion is the

A simple random sample of size n from an infinite population of size N is to be selected. Each possible sample should have

As the sample size increases, the variability among the sample means

Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196. The distribution of the population is unknown. The mean and the standard error of the mean are

Exhibit 7-3 In a local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a particular study. -Refer to Exhibit 7-3. The standard deviation of , known as the standard error of the proportion is approximately

A population has a mean of 75 and a standard deviation of 8. A random sample of 800 is selected. The expected value of is

A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

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Exam 7: Sampling and Sampling Distributions

The following data was collected from a simple random sample of a population. 13 15 14 16 12 The point estimate of the population standard deviation is

A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is

How many simple random samples of size 5 can be selected from a population of size 8?

A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within ±2 of the population mean?

Which of the following sampling methods does not lead to probability samples?

The milk prices (in quarts) from a sample of 9 convenience stores in Chattanooga, Tennessee are shown below. a.What is the point estimate for the prices of all convenience stores in Chattanooga? b.What is the point estimate for the standard deviation of the population?

In point estimation

A sample of 51 observations will be taken from an infinite population. The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

The probability distribution of all possible values of the sample proportion is the

A simple random sample of size n from an infinite population of size N is to be selected. Each possible sample should have

As the sample size increases, the variability among the sample means

Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196. The distribution of the population is unknown. The mean and the standard error of the mean are

Exhibit 7-3 In a local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a particular study. -Refer to Exhibit 7-3. The standard deviation of , known as the standard error of the proportion is approximately

A population has a mean of 75 and a standard deviation of 8. A random sample of 800 is selected. The expected value of is

A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters