Question 1

For the following hypothesis test:   With n= 0.42 and p = 0.42,state the conclusion

Accepted Answer

A) Because the calculated value of the test statistic,t=0.4122,is neither greater than 2.013 nor less than -2.013,do not reject the null hypothesis and conclude that the population proportion is not different from 0.40. 
B) Because the calculated value of the test statistic,t=1.7291,is neither greater than 2.013 nor less than -2.013,do not reject the null hypothesis and conclude that the population proportion is not different from 0.40. 
C) Because the calculated value of the test statistic,z = 1.2412,is neither greater than 2.575 nor less than -2.575,do not reject the null hypothesis and conclude that the population proportion is not different from 0.40. 
D) Because the calculated value of the test statistic,z = 0.3266,is neither greater than 2.575 nor less than -2.575,do not reject the null hypothesis and conclude that the population proportion is not different from 0.40. 
A) Because the calculated value of the test statistic,t=0.4122,is neither greater than 2.013 nor less than -2.013,do not reject the null hypothesis and conclude that the population proportion is not different from 0.40. 
B) Because the calculated value of the test statistic,t=1.7291,is neither greater than 2.013 nor less than -2.013,do not reject the null hypothesis and conclude that the population proportion is not different from 0.40. 
C) Because the calculated value of the test statistic,z = 1.2412,is neither greater than 2.575 nor less than -2.575,do not reject the null hypothesis and conclude that the population proportion is not different from 0.40. 
D) Because the calculated value of the test statistic,z = 0.3266,is neither greater than 2.575 nor less than -2.575,do not reject the null hypothesis and conclude that the population proportion is not different from 0.40.

Question 2

Lube-Tech is a major chain whose primary business is performing lube and oil changes for passenger vehicles.The national operations manager has stated in an industry newsletter that the mean number of miles between oil changes for all passenger cars exceeds 4,200 miles.To test this,an industry group has selected a random sample of 100 vehicles that have come into a lube shop and determined the number of miles since the last oil change and lube.The sample mean was 4,278 and the standard deviation was known to be 780 miles.Based on a significance level of 0.10,the critical value for the test is approximately z = 1.28.

Accepted Answer

A) True 
 B)False

Question 3

The director of the city Park and Recreation Department claims that the mean distance people travel to the city's greenbelt is more than 5.0 miles.Assuming that the population standard deviation is known to be 1.2 miles and the significance level to be used to test the hypothesis is 0.05 when a sample size of n = 64 people are surveyed,the critical value is approximately 4.75 miles.

Accepted Answer

A) True 
 B)False

Question 4

A two-tailed hypothesis test is used when the null hypothesis looks like the following: H0 :   = 100.

Accepted Answer

A) True 
 B)False

Question 5

If a real estate market is strong there will be a close relationship between the asking price for homes and the selling price.Suppose that one analyst believes that the mean difference between asking price and selling price for homes in a particular market area is less than $2,000.To test this using an alpha level equal to 0.05,a random sample of n = 15 homes that have sold recently was selected.The sample differences between asking price and selling price are in the following table:
   Based on these sample data,what is the critical value expressed in dollars?

Accepted Answer

The analyst claims that the mean differe

Question 6

A company that makes and markets a device that is aimed at helping people quit smoking claims that at least 70 percent of the people who have used the product have quit smoking.To test this,a random sample of n = 100 product users was selected.Of these,65 people were found to have quit smoking.Given these results,the test statistic value is z = -1.0911.

Accepted Answer

A) True 
 B)False

Question 7

You are given the following null and alternative hypotheses:   Calculate the probability of committing a Type II error when the population mean is 505,the sample size is 64,and the population standard deviation is known to be 36

Accepted Answer

A) 0.1562 
B) 0.5997 
C) 0.3426 
D) 0.8888 
A) 0.1562 
B) 0.5997 
C) 0.3426 
D) 0.8888

Question 8

For the following hypothesis test:   With n = 15,s = 7.5,and    = 62.2,state the calculated value of the test statistic t.

Accepted Answer

A) 1.014 
B) 0.012 
C) 0.878 
D) 1.312 
A) 1.014 
B) 0.012 
C) 0.878 
D) 1.312

Question 9

Woof Chow Dog Food Company believes that it has a market share of 25 percent.It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food.The appropriate null and alternate hypotheses are:

Accepted Answer

A) H0 : ρ = .25
Ha : ρ ≠ .25 
B) H0 : p = .25
Ha : p ≠ .25 
C) H0 : μ = .25
Ha : μ ≠ .25 
D) H0 : p ≤ .25 
A) H0 : ρ = .25
Ha : ρ ≠ .25 
B) H0 : p = .25
Ha : p ≠ .25 
C) H0 : μ = .25
Ha : μ ≠ .25 
D) H0 : p ≤ .25

Question 10

When testing a two-tailed hypothesis using a significance level of 0.05,a sample size of n = 16,and with the population standard deviation unknown,which of the following is true?

Accepted Answer

A) The null hypothesis can be rejected if the sample mean gets too large or too small compared with the hypothesized mean. 
B) The alpha probability must be split in half and a rejection region must be formed on both sides of the sampling distribution. 
C) The test statistic will be a t-value. 
D) All of the above are true. 
A) The null hypothesis can be rejected if the sample mean gets too large or too small compared with the hypothesized mean. 
B) The alpha probability must be split in half and a rejection region must be formed on both sides of the sampling distribution. 
C) The test statistic will be a t-value. 
D) All of the above are true.

Question 11

You are given the following null and alternative hypotheses:   If the true population mean is 4,345,calculate the power of the test.Assume the population standard deviation is known to be 200 and the sample size is 100.

Accepted Answer

A) 0.1766 
B) 0.3876 
C) 0.0808 
D) 0.9686 
A) 0.1766 
B) 0.3876 
C) 0.0808 
D) 0.9686

Question 12

In a hypothesis test involving a population mean,which of the following would be an acceptable formulation?

Accepted Answer

A) H0 :  ≤ $1,700
Ha : > $1,700 
B) H0 :  > $1,700
Ha : ≥ $1,700 
C) H0 : μ ≤ $1,700
Ha : μ > $1,700 
D) None of the above is a correct formulation. 
A) H0 :  ≤ $1,700
Ha : > $1,700 
B) H0 :  > $1,700
Ha : ≥ $1,700 
C) H0 : μ ≤ $1,700
Ha : μ > $1,700 
D) None of the above is a correct formulation.

Question 13

For the following hypothesis test:   With n = 80,σ = 9,and   = 47.1,state the appropriate p-value.

Accepted Answer

A) 0.0183 
B) 0.0314 
C) 0.0512 
D) 0.0218 
A) 0.0183 
B) 0.0314 
C) 0.0512 
D) 0.0218

Question 14

When the decision maker has control over the null and alternative hypotheses,the alternative hypotheses should be the "research" hypothesis.

Accepted Answer

A) True 
 B)False

Question 15

The R.D.Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice.When the machine is running properly,the average number of fluid ounces in the cup should be 14.Periodically the machines need to be tested to make sure that they have not gone out of adjustment.To do this,six cups are filled by the machine and a technician carefully measures the volume in each cup.In one such test,the following data were observed:   Based on these sample data,which of the following is true if the significance level is .05?

Accepted Answer

A) No conclusion can be reached about the status of the machine based on a sample size of only six cups. 
B) The null hypothesis cannot be rejected since the test statistic is approximately t = 0.20,which is not in the rejection region. 
C) The null hypothesis can be rejected since the sample mean is greater than 14. 
D) The null can be rejected because the majority of the sample values exceed 14. 
A) No conclusion can be reached about the status of the machine based on a sample size of only six cups. 
B) The null hypothesis cannot be rejected since the test statistic is approximately t = 0.20,which is not in the rejection region. 
C) The null hypothesis can be rejected since the sample mean is greater than 14. 
D) The null can be rejected because the majority of the sample values exceed 14.

Question 16

Lube-Tech is a major chain whose primary business is performing lube and oil changes for passenger vehicles.The national operations manager has stated in an industry newsletter that the mean number of miles between oil changes for all passenger cars exceeds 4,200 miles.To test this,an industry group has selected a random sample of 100 vehicles that have come into a lube shop and determined the number of miles since the last oil change and lube.The sample mean was 4,278 and the standard deviation was known to be 780 miles.Based on this information,the p-value for the hypothesis test is less than 0.10.

Accepted Answer

A) True 
 B)False

Question 17

The power of a test is measured by its capability of:

Accepted Answer

A) rejecting a null hypothesis that is true. 
B) not rejecting a null hypothesis that is true. 
C) rejecting a null hypothesis that is false. 
D) not rejecting a null hypothesis that is false. 
A) rejecting a null hypothesis that is true. 
B) not rejecting a null hypothesis that is true. 
C) rejecting a null hypothesis that is false. 
D) not rejecting a null hypothesis that is false.

Question 18

Hono Golf is a manufacturer of golf products in Taiwan and China.One of the golf accessories it produces at its plant in Tainan Hsing,Taiwan,is plastic golf tees.The injector molder produces golf tees that are designed to have an average height of 66 mm.To determine if this specification is met,random samples are taken from the production floor.One sample is contained in the file labeled THeight.If the hypothesis test determines the specification is not being met,the production process will be shut down while causes and remedies are determined.At times this occurs even though the process is functioning to specification.What type of statistical error would this be?

Accepted Answer

A) The null hypothesis,the specification not being met,was not rejected when in fact it was not being met,this is a Type II error. 
B) The null hypothesis,the specification not being met,was not rejected when in fact it was not being met,this is a Type I error. 
C) The null hypothesis,the specification is being met,was rejected when in fact it was being met,this is a Type II error. 
D) The null hypothesis,the specification is being met,was rejected when in fact it was being met,this is a Type I error. 
A) The null hypothesis,the specification not being met,was not rejected when in fact it was not being met,this is a Type II error. 
B) The null hypothesis,the specification not being met,was not rejected when in fact it was not being met,this is a Type I error. 
C) The null hypothesis,the specification is being met,was rejected when in fact it was being met,this is a Type II error. 
D) The null hypothesis,the specification is being met,was rejected when in fact it was being met,this is a Type I error.

Question 19

For the following z-test statistic,compute the p-value assuming that the hypothesis test is a one-tailed test: z = 2.09.

Accepted Answer

A) 0.0172 
B) 0.0183 
C) 0.0415 
D) 0.0611 
A) 0.0172 
B) 0.0183 
C) 0.0415 
D) 0.0611

Question 20

A company that sells an online course aimed at helping high-school students improve their SAT scores has claimed that SAT scores will improve by more than 90 points on average if students successfully complete the course.To test this,a national school counseling organization plans to select a random sample of n = 100 students who have previously taken the SAT test.These students will take the company's course and then retake the SAT test.Assuming that the population standard deviation for improvement in test scores is thought to be 30 points and the level of significance for the hypothesis test is 0.05,find the critical value in terms of improvement in SAT points,which would be needed prior to finding a beta.

Accepted Answer

A) Reject the null if SAT improvement is > 95 points. 
B) Reject the null if SAT improvement is  95.88 points. 
D) Reject the null if SAT improvement is > 94.935 points. 
A) Reject the null if SAT improvement is > 95 points. 
B) Reject the null if SAT improvement is  95.88 points. 
D) Reject the null if SAT improvement is > 94.935 points.

For the following hypothesis test: With n= 0.42 and p = 0.42,state the conclusion

A two-tailed hypothesis test is used when the null hypothesis looks like the following: H₀: = 100.

You are given the following null and alternative hypotheses: Calculate the probability of committing a Type II error when the population mean is 505,the sample size is 64,and the population standard deviation is known to be 36

For the following hypothesis test: With n = 15,s = 7.5,and = 62.2,state the calculated value of the test statistic t.

Woof Chow Dog Food Company believes that it has a market share of 25 percent.It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food.The appropriate null and alternate hypotheses are:

When testing a two-tailed hypothesis using a significance level of 0.05,a sample size of n = 16,and with the population standard deviation unknown,which of the following is true?

You are given the following null and alternative hypotheses: If the true population mean is 4,345,calculate the power of the test.Assume the population standard deviation is known to be 200 and the sample size is 100.

In a hypothesis test involving a population mean,which of the following would be an acceptable formulation?

For the following hypothesis test: With n = 80,σ = 9,and = 47.1,state the appropriate p-value.

When the decision maker has control over the null and alternative hypotheses,the alternative hypotheses should be the "research" hypothesis.

The power of a test is measured by its capability of:

For the following z-test statistic,compute the p-value assuming that the hypothesis test is a one-tailed test: z = 2.09.

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

Introduction to Sampling Distributions

Estimating Single Population Parameters

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 9: Introduction to Hypothesis Testing

For the following hypothesis test: With n= 0.42 and p = 0.42,state the conclusion

A two-tailed hypothesis test is used when the null hypothesis looks like the following: H0 : = 100.

You are given the following null and alternative hypotheses: Calculate the probability of committing a Type II error when the population mean is 505,the sample size is 64,and the population standard deviation is known to be 36

For the following hypothesis test: With n = 15,s = 7.5,and = 62.2,state the calculated value of the test statistic t.

Woof Chow Dog Food Company believes that it has a market share of 25 percent.It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food.The appropriate null and alternate hypotheses are:

When testing a two-tailed hypothesis using a significance level of 0.05,a sample size of n = 16,and with the population standard deviation unknown,which of the following is true?

You are given the following null and alternative hypotheses: If the true population mean is 4,345,calculate the power of the test.Assume the population standard deviation is known to be 200 and the sample size is 100.

In a hypothesis test involving a population mean,which of the following would be an acceptable formulation?

For the following hypothesis test: With n = 80,σ = 9,and = 47.1,state the appropriate p-value.

When the decision maker has control over the null and alternative hypotheses,the alternative hypotheses should be the "research" hypothesis.

The power of a test is measured by its capability of:

For the following z-test statistic,compute the p-value assuming that the hypothesis test is a one-tailed test: z = 2.09.

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

Introduction to Sampling Distributions

Estimating Single Population Parameters

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

A two-tailed hypothesis test is used when the null hypothesis looks like the following: H₀: = 100.