Question 1

If a level of significance is less than or equal to the p-value,the null hypothesis is not rejected.

Accepted Answer

A) True 
 B)False

Question 2

The p-value of a test is the probability that the null hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 3

The critical region (or decision rule)of a test,indicates when to reject the alternative hypothesis.

Accepted Answer

A) True 
 B)False

Question 4

Explain the distinction between Type I and Type II errors.

Accepted Answer

A Type I error is falsely rejecting the

Question 5

The Next Questions Are Based On The Following Information:
A pharmaceutical manufacturer is concerned that the mean impurity concentration in pills should not exceed 3%.It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation 0.4%.A random sample of 36 pills from a production run was checked,and the sample mean impurity concentration was found to be 3.09%.
-Calculate the p-value for this test.

Accepted Answer

p-value =

Question 6

The Next Questions Are Based On The Following Information:
A pharmaceutical manufacturer is concerned that the mean impurity concentration in pills should not exceed 3%.It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation 0.4%.A random sample of 36 pills from a production run was checked,and the sample mean impurity concentration was found to be 3.09%.
-Test at the 5% level,the null hypothesis that the population mean impurity concentration is 2% or less against the alternative that it is more than 3%.

Accepted Answer

H₀ : μ ≤ 3% and H₁ : μ > 3% Reje

Question 7

It is not possible to determine p-values for the chi-square test for variances.

Accepted Answer

A) True 
 B)False

Question 8

The Next Questions Are Based On The Following Information:
The U.S.Postal Service advertises that at least 63.4% of all third class mail is read by the recipients.An environmental group,concerned about waste production wants to test this assertion.They take a sample of 220 households and find that only 58.7% read their third class mail.
-What would the environmental group's decision rule be?

Accepted Answer

A) Reject H0 if (   
- P0)/
   
α/2 
B) Reject H0 if (   
- P0)/
   
α 
C) Reject H0 if (   
- P0)/
   
> -zα/2 
D) Reject H0 if (   
- P0)/
   
α 
A) Reject H0 if (   
- P0)/
   
α/2 
B) Reject H0 if (   
- P0)/
   
α 
C) Reject H0 if (   
- P0)/
   
> -zα/2 
D) Reject H0 if (   
- P0)/
   
α

Question 9

The Next Questions Are Based On The Following Information:
The sales representative for a manufacturer of a new product claims that the product will increase output per machine by at least 29 units per hour.A line manager installs the product on 15 of the machines,and finds that the average increase was only 26 with a standard deviation of 6.2.
-Using a 5% significance level,which of the following statements is true?

Accepted Answer

A) Reject H0 if t statistic 0 if t statistic > 2.16 C) Reject H0 if t statistic 0 if t statistic < -2.16 A) Reject H0 if t statistic 0 if t statistic > 2.16 C) Reject H0 if t statistic 0 if t statistic < -2.16

Question 10

The Next Questions Are Based On The Following Information:
A beer producer claims that the proportion of its customers who cannot distinguish regular from light beer is at most 12 percent.The producer decides to test this null hypothesis against the alternative that the true proportion is more than 12 percent.The decision rule adopted is to reject the null hypothesis if the sample proportion of who cannot distinguish between the two beers exceeds 15 percent.
-If a random sample of 400 customers is selected,what is the probability of a Type I error,using this decision rule?

Accepted Answer

α = P( @#IMG-DLM& 
> 0.15 ∣ P

Question 11

For any significance level α,the two-sided rejection region Z ≥ zα/2 or Z ≤ -zα/2 has a Type I error probability equal to 1 - α.

Accepted Answer

A) True 
 B)False

Question 12

The Next Questions Are Based On The Following Information:
The dean of a business college in the Midwest claims that he can correctly identify whether a student is a finance major or a music industry management major by the way the student dresses.Suppose in actuality that he can correctly identify finance majors 84% of the time,while 16% of the time he mistakenly identifies a music industry management major as a finance major.Presented with one student and asked to identify the major of this student (who is either a finance or music industry management major),the dean considers this to be a hypothesis test with the null hypothesis being that the student is a finance major and the alternative that the student is a music industry management major.
-Which of the following statements illustrates a Type II error?

Accepted Answer

A) Saying that the student is a music industry management major when in fact the student is a finance major. 
B) Saying that the student is a finance major when in fact the student is a finance major. 
C) Saying that the student is a finance major when in fact the student is a music industry management major. 
D) Saying that the student is a music industry management major when in fact the student is a music industry management major. 
A) Saying that the student is a music industry management major when in fact the student is a finance major. 
B) Saying that the student is a finance major when in fact the student is a finance major. 
C) Saying that the student is a finance major when in fact the student is a music industry management major. 
D) Saying that the student is a music industry management major when in fact the student is a music industry management major.

Question 13

The Next Questions Are Based On The Following Information:
The supervisor of a production line believes that the average time to assemble an electronic component is 14 minutes.Assume that assembly time is normally distributed with a standard deviation of 3.4 minutes.The supervisor times the assembly of 14 components,and finds that the average time for completion is 11.6 minutes.
-What are the appropriate null and alternative hypotheses?

Accepted Answer

A) H0 : μ ≥ 14 and H1: μ 0 : μ ≤ 14 and H1: μ > 14 
C) H0 : μ = 14 and H1: μ ≠ 14 
D) H0 : μ ≠ 14 and H1: μ = 14 
A) H0 : μ ≥ 14 and H1: μ 0 : μ ≤ 14 and H1: μ > 14 
C) H0 : μ = 14 and H1: μ ≠ 14 
D) H0 : μ ≠ 14 and H1: μ = 14

Question 14

The Next Questions Are Based On The Following Information:
The sales representative for a manufacturer of a new product claims that the product will increase output per machine by at least 29 units per hour.A line manager installs the product on 15 of the machines,and finds that the average increase was only 26 with a standard deviation of 6.2.
-What is the critical value for an upper-tailed hypothesis test of the population mean when the population variance is unknown in which a null hypothesis is tested at the 0.05 level of significance based on a sample size of 18?

Accepted Answer

A) 2.110 
B) 2.101 
C) 1.734 
D) 1.740 
A) 2.110 
B) 2.101 
C) 1.734 
D) 1.740

Question 15

The Next Questions Are Based On The Following Information:
A company selling new econometrics computer software advertises that firms using this software obtain,on average during the first year,a yield of at least 10% on their initial investments.A random sample of 10 of the franchises that used the software produced the following yields for the first year of operation: 9.4,11.1,10.4,10.5,11.2,8.2,8.5,4.0,8.8,and 6.1.Assume that population yields are normally distributed.
-Test the company's claim at the 5% significance level.

Accepted Answer

Reject H₀ if t < -t_9,.05= -1.833 t = @#IMG-DLM& = @#IMG-DLM& = -

Question 16

The Next Questions Are Based On The Following Information:
A professor claims that the average score on a recent exam was 83.Suppose you want to test whether the professor's statement is correct.Assume that the test scores are normally distributed.You ask some people in class how they did,and record the following scores: 82,77,85,76,81,91,70,and 82.
-What are the null and alternative hypotheses?

Accepted Answer

A) H0 : μ = 83 and H1 : μ > 83 
B) H0 : μ = 83 and H1 : μ 0 : μ = 83 and H1 : μ ≠ 83 
D) H0 : μ > 83 and H1 : μ ≤ 83 
A) H0 : μ = 83 and H1 : μ > 83 
B) H0 : μ = 83 and H1 : μ 0 : μ = 83 and H1 : μ ≠ 83 
D) H0 : μ > 83 and H1 : μ ≤ 83

Question 17

The Next Questions Are Based On The Following Information:
The sales representative for a manufacturer of a new product claims that the product will increase output per machine by at least 29 units per hour.A line manager installs the product on 15 of the machines,and finds that the average increase was only 26 with a standard deviation of 6.2.
-Which of the following statements is most accurate?

Accepted Answer

A) reject the null hypothesis at α = 0.10 
B) fail to reject the null hypothesis at α ≤ 0.10 
C) reject the null hypothesis at α = 0.05,but not 0.10 
D) reject the null hypothesis at α = 0.01,but not 0.05 
A) reject the null hypothesis at α = 0.10 
B) fail to reject the null hypothesis at α ≤ 0.10 
C) reject the null hypothesis at α = 0.05,but not 0.10 
D) reject the null hypothesis at α = 0.01,but not 0.05

Question 18

The Next Questions Are Based On The Following Information:
A company selling new econometrics computer software advertises that firms using this software obtain,on average during the first year,a yield of at least 10% on their initial investments.A random sample of 10 of the franchises that used the software produced the following yields for the first year of operation: 9.4,11.1,10.4,10.5,11.2,8.2,8.5,4.0,8.8,and 6.1.Assume that population yields are normally distributed.
-Calculate the sample mean and sample standard deviation.

Accepted Answer

@#IMG-DLM& = 8.82 an

Question 19

If a null hypothesis is rejected against an alternative at the 5% level,then using the same data,it must be rejected against that alternative at the 1% level.

Accepted Answer

A) True 
 B)False

Question 20

The larger the population variance,the higher the power of the test.

Accepted Answer

A) True 
 B)False

If a level of significance is less than or equal to the p-value,the null hypothesis is not rejected.

The p-value of a test is the probability that the null hypothesis is true.

The critical region (or decision rule)of a test,indicates when to reject the alternative hypothesis.

Explain the distinction between Type I and Type II errors.

It is not possible to determine p-values for the chi-square test for variances.

For any significance level α,the two-sided rejection region Z ≥ z_α/2or Z ≤ -z_α/2 has a Type I error probability equal to 1 - α.

If a null hypothesis is rejected against an alternative at the 5% level,then using the same data,it must be rejected against that alternative at the 1% level.

The larger the population variance,the higher the power of the test.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Exam 9: Hypothesis Testing: Single Population

If a level of significance is less than or equal to the p-value,the null hypothesis is not rejected.

The p-value of a test is the probability that the null hypothesis is true.

The critical region (or decision rule)of a test,indicates when to reject the alternative hypothesis.

Explain the distinction between Type I and Type II errors.

It is not possible to determine p-values for the chi-square test for variances.

For any significance level α,the two-sided rejection region Z ≥ zα/2 or Z ≤ -zα/2 has a Type I error probability equal to 1 - α.

If a null hypothesis is rejected against an alternative at the 5% level,then using the same data,it must be rejected against that alternative at the 1% level.

The larger the population variance,the higher the power of the test.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

For any significance level α,the two-sided rejection region Z ≥ z_α/2or Z ≤ -z_α/2 has a Type I error probability equal to 1 - α.