Question 1

In order to test the hypotheses H0: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 100 and Ha: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 100 at an F1F1F1S1F1F1F10 level of significance, the null hypothesis will be rejected if the test statistic z is

Accepted Answer

A) F1F1F1S1F1F1F10 zF1F1F1S1F1F1F10 
B) F1F1F1S1F1F1F10 zF1F1F1S1F1F1F10 
C) F1F1F1S1F1F1F10 -zF1F1F1S1F1F1F10 
D) F1F1F1S1F1F1F10 100 
A) F1F1F1S1F1F1F10 zF1F1F1S1F1F1F10 
B) F1F1F1S1F1F1F10 zF1F1F1S1F1F1F10 
C) F1F1F1S1F1F1F10 -zF1F1F1S1F1F1F10 
D) F1F1F1S1F1F1F10 100

Question 2

The average gasoline price of one of the major oil companies has been $1.00 per gallon. Because of shortages in production of crude oil, it is believed that there has been a significant increase in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gas stations and determined that the average price for the stations in the sample was $1.10. Assume that the standard deviation of the population (F1F1F1S1F1F1F10) is $0.12.
a.State the null and the alternative hypotheses.
b.Test the claim at F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 .05.
c.What is the p-value associated with the above sample results?

Accepted Answer

a.H₀: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 1

Question 3

The academic planner of a university thinks that at least 35% of the entire student body attends summer school. The correct set of hypotheses to test his belief is

Accepted Answer

A) H0: p > 0.35 Ha: p F1F1F1S1F1F1F10 0.35 
B) H0: p F1F1F1S1F1F1F10 0.35 Ha: p > 0.35 
C) H0: p F1F1F1S1F1F1F10 0.35 Ha: p 0: p > 0.35 Ha: p F1F1F1S1F1F1F10 0.35 
A) H0: p > 0.35 Ha: p F1F1F1S1F1F1F10 0.35 
B) H0: p F1F1F1S1F1F1F10 0.35 Ha: p > 0.35 
C) H0: p F1F1F1S1F1F1F10 0.35 Ha: p 0: p > 0.35 Ha: p F1F1F1S1F1F1F10 0.35

Question 4

A one-tailed test is a

Accepted Answer

A) hypothesis test in which rejection region is in both tails of the sampling distribution 
B) hypothesis test in which rejection region is in one tail of the sampling distribution 
C) hypothesis test in which rejection region is only in the lower tail of the sampling distribution 
D) hypothesis test in which rejection region is only in the upper tail of the sampling distribution 
A) hypothesis test in which rejection region is in both tails of the sampling distribution 
B) hypothesis test in which rejection region is in one tail of the sampling distribution 
C) hypothesis test in which rejection region is only in the lower tail of the sampling distribution 
D) hypothesis test in which rejection region is only in the upper tail of the sampling distribution

Question 5

Which Excel function would not be appropriate to use when conducting a hypothesis test for a population proportion?

Accepted Answer

A) NORM.S.DIST 
B) COUNTIF 
C) STDEV 
D) All are appropriate. 
A) NORM.S.DIST 
B) COUNTIF 
C) STDEV 
D) All are appropriate.

Question 6

For a sample size of 30, changing from using the standard normal distribution to using the t distribution in a hypothesis test,

Accepted Answer

A) will result in the rejection region being smaller 
B) will result in the rejection region being larger 
C) would have no effect on the rejection region 
D) Not enough information is given to answer this question. 
A) will result in the rejection region being smaller 
B) will result in the rejection region being larger 
C) would have no effect on the rejection region 
D) Not enough information is given to answer this question.

Question 7

Which of the following does not need to be known in order to compute the p-value?

Accepted Answer

A) knowledge of whether the test is one-tailed or two-tailed 
B) the value of the test statistic 
C) the level of significance 
D) All of these are needed. 
A) knowledge of whether the test is one-tailed or two-tailed 
B) the value of the test statistic 
C) the level of significance 
D) All of these are needed.

Question 8

Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (upper tail), a sample size of 18 at a .05 level of significance t =

Accepted Answer

A) 2.12 
B) 1.734 
C) -1.740 
D) 1.740 
A) 2.12 
B) 1.734 
C) -1.740 
D) 1.740

Question 9

From a population of cans of coffee marked "12 ounces," a sample of 25 cans is selected and the contents of each can are weighed. The sample revealed a mean of 11.8 ounces and a standard deviation of 0.5 ounces. Test to see if the mean of the population is at least 12 ounces. (Assume the population is normally distributed.) Use a .05 level of significance.

Accepted Answer

H₀: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 12

Question 10

The manager of an automobile dealership is considering a new bonus plan in order to increase sales. Currently, the mean sales rate per salesperson is five automobiles per month. The correct set of hypotheses for testing the effect of the bonus plan is

Accepted Answer

A) H0: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 Ha: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 
B) H0: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 Ha: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 
C) H0: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 Ha: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 
D) H0: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 Ha: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 
A) H0: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 Ha: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 
B) H0: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 Ha: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 
C) H0: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 Ha: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 
D) H0: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5 Ha: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 5

Question 11

The error of rejecting a true null hypothesis is

Accepted Answer

A) a Type I error 
B) a Type II error 
C) can be either a or b, depending on the situation 
D) committed when not enough information is available 
A) a Type I error 
B) a Type II error 
C) can be either a or b, depending on the situation 
D) committed when not enough information is available

Question 12

Exhibit 9-3
  
-Refer to Exhibit 9-3. The p-value is equal to

Accepted Answer

A) 0.1151 
B) 0.3849 
C) 0.2698 
D) 0.2302 
A) 0.1151 
B) 0.3849 
C) 0.2698 
D) 0.2302

Question 13

Read the z statistics from the normal distribution table and circle the correct answer. A two-tailed test at a .0694 level of significance; z F1F1F1S1F1F1F10

Accepted Answer

A) -1.96 and 1.96 
B) -1.48 and 1.48 
C) -1.09 and 1.09 
D) -0.86 and 0.86 
A) -1.96 and 1.96 
B) -1.48 and 1.48 
C) -1.09 and 1.09 
D) -0.86 and 0.86

Question 14

Exhibit 9-6
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.
-Refer to Exhibit 9-6. The p-value is

Accepted Answer

A) 0.2112 
B) 0.05 
C) 0.025 
D) 0.0156 
A) 0.2112 
B) 0.05 
C) 0.025 
D) 0.0156

Question 15

In hypothesis testing if the null hypothesis is rejected,

Accepted Answer

A) no conclusions can be drawn from the test 
B) the alternative hypothesis must also be rejected 
C) the data must have been accumulated incorrectly 
D) None of the other answers are correct. 
A) no conclusions can be drawn from the test 
B) the alternative hypothesis must also be rejected 
C) the data must have been accumulated incorrectly 
D) None of the other answers are correct.

Question 16

Exhibit 9-6
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.
-Refer to Exhibit 9-6. The test statistic is

Accepted Answer

A) 0.80 
B) 0.05 
C) 1.25 
D) 2.00 
A) 0.80 
B) 0.05 
C) 1.25 
D) 2.00

Question 17

If a hypothesis test has a Type I error probability of .05, that means

Accepted Answer

A) if the null hypothesis is false, it will not be rejected 5% of the time 
B) if the null hypothesis is false, it will be rejected 5% of the time 
C) if the null hypothesis is true, it will not be rejected 5% of the time 
D) if the null hypothesis is true, it will be rejected 5% of the time 
A) if the null hypothesis is false, it will not be rejected 5% of the time 
B) if the null hypothesis is false, it will be rejected 5% of the time 
C) if the null hypothesis is true, it will not be rejected 5% of the time 
D) if the null hypothesis is true, it will be rejected 5% of the time

Question 18

The probability of making a Type I error is denoted by

Accepted Answer

A) F1F1F1S1F1F1F10 
B) F1F1F1S1F1F1F10 
C) 1 F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 
D) 1 F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 
A) F1F1F1S1F1F1F10 
B) F1F1F1S1F1F1F10 
C) 1 F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 
D) 1 F1F1F1S1F1F1F10 F1F1F1S1F1F1F10

Question 19

If a hypothesis test leads to the rejection of the null hypothesis, a

Accepted Answer

A) Type II error must have been committed 
B) Type II error may have been committed 
C) Type I error must have been committed 
D) Type I error may have been committed 
A) Type II error must have been committed 
B) Type II error may have been committed 
C) Type I error must have been committed 
D) Type I error may have been committed

Question 20

Exhibit 9-4
A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to determine if the average age of all the students at the university is significantly different from 24. Assume the distribution of the population of ages is normal with a standard deviation of 2 years.
-Refer to Exhibit 9-4. The test statistic is

Accepted Answer

A) 1.96 
B) 2.00 
C) 1.645 
D) 0.05 
A) 1.96 
B) 2.00 
C) 1.645 
D) 0.05

In order to test the hypotheses H₀:   100 and H_a:   100 at an  level of significance, the null hypothesis will be rejected if the test statistic z is

The academic planner of a university thinks that at least 35% of the entire student body attends summer school. The correct set of hypotheses to test his belief is

A one-tailed test is a

Which Excel function would not be appropriate to use when conducting a hypothesis test for a population proportion?

For a sample size of 30, changing from using the standard normal distribution to using the t distribution in a hypothesis test,

Which of the following does not need to be known in order to compute the p-value?

Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (upper tail), a sample size of 18 at a .05 level of significance t =

The manager of an automobile dealership is considering a new bonus plan in order to increase sales. Currently, the mean sales rate per salesperson is five automobiles per month. The correct set of hypotheses for testing the effect of the bonus plan is

The error of rejecting a true null hypothesis is

Exhibit 9-3 -Refer to Exhibit 9-3. The p-value is equal to

Read the z statistics from the normal distribution table and circle the correct answer. A two-tailed test at a .0694 level of significance; z 

Exhibit 9-6 A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. -Refer to Exhibit 9-6. The p-value is

In hypothesis testing if the null hypothesis is rejected,

Exhibit 9-6 A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. -Refer to Exhibit 9-6. The test statistic is

If a hypothesis test has a Type I error probability of .05, that means

The probability of making a Type I error is denoted by

If a hypothesis test leads to the rejection of the null hypothesis, a

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Exam 9: Hypothesis Tests

In order to test the hypotheses H0:   100 and Ha:   100 at an  level of significance, the null hypothesis will be rejected if the test statistic z is

The academic planner of a university thinks that at least 35% of the entire student body attends summer school. The correct set of hypotheses to test his belief is

A one-tailed test is a

Which Excel function would not be appropriate to use when conducting a hypothesis test for a population proportion?

For a sample size of 30, changing from using the standard normal distribution to using the t distribution in a hypothesis test,

Which of the following does not need to be known in order to compute the p-value?

Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (upper tail), a sample size of 18 at a .05 level of significance t =

The manager of an automobile dealership is considering a new bonus plan in order to increase sales. Currently, the mean sales rate per salesperson is five automobiles per month. The correct set of hypotheses for testing the effect of the bonus plan is

The error of rejecting a true null hypothesis is

Exhibit 9-3 -Refer to Exhibit 9-3. The p-value is equal to

Read the z statistics from the normal distribution table and circle the correct answer. A two-tailed test at a .0694 level of significance; z 

Exhibit 9-6 A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. -Refer to Exhibit 9-6. The p-value is

In hypothesis testing if the null hypothesis is rejected,

Exhibit 9-6 A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. -Refer to Exhibit 9-6. The test statistic is

If a hypothesis test has a Type I error probability of .05, that means

The probability of making a Type I error is denoted by

If a hypothesis test leads to the rejection of the null hypothesis, a

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters

In order to test the hypotheses H₀:   100 and H_a:   100 at an  level of significance, the null hypothesis will be rejected if the test statistic z is