Question 1

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

Accepted Answer

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

Question 2

A school's newspaper reported that the proportion of students majoring in business is at least 30%.You plan on taking a sample to test the newspaper's claim.The correct set of hypotheses is

Accepted Answer

A)  H0: p a: p $\geq$ .30. 
B)  H0: p $\leq$ .30 Ha: p > .30. 
C)  H0: p $\geq$ .30 Ha: p 0: p > .30 Ha: p $\leq$ .30. 
A)  H0: p a: p $\geq$ .30. 
B)  H0: p $\leq$ .30 Ha: p > .30. 
C)  H0: p $\geq$ .30 Ha: p 0: p > .30 Ha: p $\leq$ .30.

Question 3

The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles.Management believes that due to a new production process, the life expectancy of their tires has increased.In order to test the validity of their belief, the correct set of hypotheses is

Accepted Answer

A) H0: $\mu$ a: $\mu$ $\geq$ 40,000. B) H0: $\mu$$\leq$ 40,000 Ha: $\mu$ > 40,000. C) H0: $\mu$ > 40,000 Ha: $\mu$$\leq$ 40,000. D) H0: $\mu$ $\geq$ 40,000 Ha: $\mu$ < 40,000. A) H0: $\mu$ a: $\mu$ $\geq$ 40,000. B) H0: $\mu$$\leq$ 40,000 Ha: $\mu$ > 40,000. C) H0: $\mu$ > 40,000 Ha: $\mu$$\leq$ 40,000. D) H0: $\mu$ $\geq$ 40,000 Ha: $\mu$ < 40,000.

Question 4

For a one-tailed (upper tail) hypothesis test with a sample size of 18 and a .05 level of significance, the critical value of the test statistic t is​

Accepted Answer

A)  ​1.645. 
B)  ​1.734. 
C)  ​1.740. 
D)  ​2.110. 
A)  ​1.645. 
B)  ​1.734. 
C)  ​1.740. 
D)  ​2.110.

Question 5

Two approaches to drawing a conclusion in a hypothesis test are ​

Accepted Answer

A)  ​p-value and critical value. 
B)  ​one-tailed and two-tailed. 
C)  ​Type I and Type II. 
D)  ​null and alternative. 
A)  ​p-value and critical value. 
B)  ​one-tailed and two-tailed. 
C)  ​Type I and Type II. 
D)  ​null and alternative.

Question 6

Read the z statistic from the normal distribution table and circle the correct answer.For a two-tailed test using α = .1388, z =

Accepted Answer

A)  1.96. 
B)  1.48. 
C)  1.09. 
D)  .86. 
A)  1.96. 
B)  1.48. 
C)  1.09. 
D)  .86.

Question 7

A two-tailed test is performed at the .05 level of significance.The p-value is determined to be .09.The null hypothesis

Accepted Answer

A)  must be rejected. 
B)  should not be rejected. 
C)  could be rejected, depending on the sample size. 
D)  has been designed incorrectly. 
A)  must be rejected. 
B)  should not be rejected. 
C)  could be rejected, depending on the sample size. 
D)  has been designed incorrectly.

Question 8

What type of error occurs if you fail to reject H0 when, in fact, it is not true?

Accepted Answer

A)  Type II 
B)  Type I 
C)  either Type I or Type II, depending on the level of significance 
D)  either Type I or Type II, depending on whether the test is one-tailed or two-tailed 
A)  Type II 
B)  Type I 
C)  either Type I or Type II, depending on the level of significance 
D)  either Type I or Type II, depending on whether the test is one-tailed or two-tailed

Question 9

A grocery store has an average sales of $8000 per day.The store introduced several advertising campaigns in order to increase sales.To determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 64 days of sales was selected.It was found that the average was $8300 per day.From past information, it is known that the standard deviation of the population is $1200.The value of the test statistic is

Accepted Answer

A)  .25. 
B)  80.00. 
C)  8.25. 
D)  2.00. 
A)  .25. 
B)  80.00. 
C)  8.25. 
D)  2.00.

Question 10

​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 area corresponding to the critical value being larger. 
B)  ​will result in the area corresponding to the critical value being smaller. 
C)  ​will have no effect on the area corresponding to the critical value. 
D)  ​Not enough information is given to answer this question. 
A)  ​will result in the area corresponding to the critical value being larger. 
B)  ​will result in the area corresponding to the critical value being smaller. 
C)  ​will have no effect on the area corresponding to the critical value. 
D)  ​Not enough information is given to answer this question.

Question 11

If the cost of making a Type I error is high, a smaller value should be chosen for the​

Accepted Answer

A)  ​critical value. 
B)  ​confidence coefficient. 
C)  ​level of significance. 
D)  ​test statistic. 
A)  ​critical value. 
B)  ​confidence coefficient. 
C)  ​level of significance. 
D)  ​test statistic.

Question 12

In the hypothesis testing procedure, α is the

Accepted Answer

A)  level of significance. 
B)  critical value. 
C)  confidence level. 
D)  p-value. 
A)  level of significance. 
B)  critical value. 
C)  confidence level. 
D)  p-value.

Question 13

For a lower tail test, the test statistic z is determined to be zero.The p-value for this test is

Accepted Answer

A)  zero. 
B)  -.5. 
C)  +.5. 
D)  1. 
A)  zero. 
B)  -.5. 
C)  +.5. 
D)  1.

Question 14

The level of significance, in hypothesis testing, is the probability of

Accepted Answer

A)  accepting a true null hypothesis. 
B)  accepting a false null hypothesis. 
C)  rejecting a true null hypothesis. 
D)  rejecting a false null hypothesis. 
A)  accepting a true null hypothesis. 
B)  accepting a false null hypothesis. 
C)  rejecting a true null hypothesis. 
D)  rejecting a false null hypothesis.

Question 15

When the area corresponding to the critical value is in the lower tail of the sampling distribution, the p-value is the area under the curve​

Accepted Answer

A)  ​less than or equal to the critical value. 
B)  ​less than or equal to the test statistic. 
C)  ​greater than or equal to the critical value. 
D)  ​greater than or equal to the test statistic. 
A)  ​less than or equal to the critical value. 
B)  ​less than or equal to the test statistic. 
C)  ​greater than or equal to the critical value. 
D)  ​greater than or equal to the test statistic.

Question 16

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

Accepted Answer

A)  1.96. 
B)  2.00. 
C)  1.65. 
D)  .05. 
A)  1.96. 
B)  2.00. 
C)  1.65. 
D)  .05.

Question 17

The average manufacturing work week in metropolitan Chattanooga was 40.1 hours last year.It is believed that the recession has led to a reduction in the average work week.To test the validity of this belief, the hypotheses are

Accepted Answer

A)  H0: μ a: μ ≥ 40.1. 
B)  H0: μ ≥ 40.1 Ha: μ 0: μ > 40.1 Ha: μ ≤ 40.1. 
D)  H0: μ = 40.1 Ha: μ ≠ 40.1. 
A)  H0: μ a: μ ≥ 40.1. 
B)  H0: μ ≥ 40.1 Ha: μ 0: μ > 40.1 Ha: μ ≤ 40.1. 
D)  H0: μ = 40.1 Ha: μ ≠ 40.1.

Question 18

Read the t statistic from the t distribution table and circle the correct answer.For a one-tailed test (upper tail) with a sample size of 26 and at the .10 level, t =

Accepted Answer

A)  1.316. 
B)  -1.316. 
C)  -1.740. 
D)  1.740. 
A)  1.316. 
B)  -1.316. 
C)  -1.740. 
D)  1.740.

Question 19

A random sample of 100 people was taken.Eighty-five 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 80%.The p-value is

Accepted Answer

A)  .2112. 
B)  .05. 
C)  .025. 
D)  .1056. 
A)  .2112. 
B)  .05. 
C)  .025. 
D)  .1056.

Question 20

A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average.Any overfilling or underfilling results in the shutdown and readjustment of the machine.To determine whether or not the machine is properly adjusted, the correct set of hypotheses is

Accepted Answer

A)  H0: $\mu$ a: $\mu$$\ge$ 12. 
B)  H0: $\mu$$\leq$ 12 Ha: $\mu$ > 12. 
C)  H0: $\mu$ $\neq$ 12 Ha: $\mu$ = 12. 
D)  H0: $\mu$ = 12 Ha: $\mu$  $\neq$ 12. 
A)  H0: $\mu$ a: $\mu$$\ge$ 12. 
B)  H0: $\mu$$\leq$ 12 Ha: $\mu$ > 12. 
C)  H0: $\mu$ $\neq$ 12 Ha: $\mu$ = 12. 
D)  H0: $\mu$ = 12 Ha: $\mu$  $\neq$ 12.

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

A school's newspaper reported that the proportion of students majoring in business is at least 30%.You plan on taking a sample to test the newspaper's claim.The correct set of hypotheses is

The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles.Management believes that due to a new production process, the life expectancy of their tires has increased.In order to test the validity of their belief, the correct set of hypotheses is

For a one-tailed (upper tail) hypothesis test with a sample size of 18 and a .05 level of significance, the critical value of the test statistic t is

Two approaches to drawing a conclusion in a hypothesis test are

Read the z statistic from the normal distribution table and circle the correct answer.For a two-tailed test using α = .1388, z =

A two-tailed test is performed at the .05 level of significance.The p-value is determined to be .09.The null hypothesis

What type of error occurs if you fail to reject H₀ when, in fact, it is not true?

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

If the cost of making a Type I error is high, a smaller value should be chosen for the

In the hypothesis testing procedure, α is the

For a lower tail test, the test statistic z is determined to be zero.The p-value for this test is

The level of significance, in hypothesis testing, is the probability of

When the area corresponding to the critical value is in the lower tail of the sampling distribution, the p-value is the area under the curve

The average manufacturing work week in metropolitan Chattanooga was 40.1 hours last year.It is believed that the recession has led to a reduction in the average work week.To test the validity of this belief, the hypotheses are

Read the t statistic from the t distribution table and circle the correct answer.For a one-tailed test (upper tail) with a sample size of 26 and at the .10 level, t =

A random sample of 100 people was taken.Eighty-five 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 80%.The p-value is

A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average.Any overfilling or underfilling results in the shutdown and readjustment of the machine.To determine whether or not the machine is properly adjusted, the correct set of hypotheses is

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

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

Filters

Exam 9: Hypothesis Tests

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

A school's newspaper reported that the proportion of students majoring in business is at least 30%.You plan on taking a sample to test the newspaper's claim.The correct set of hypotheses is

The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles.Management believes that due to a new production process, the life expectancy of their tires has increased.In order to test the validity of their belief, the correct set of hypotheses is

For a one-tailed (upper tail) hypothesis test with a sample size of 18 and a .05 level of significance, the critical value of the test statistic t is​

Two approaches to drawing a conclusion in a hypothesis test are ​

Read the z statistic from the normal distribution table and circle the correct answer.For a two-tailed test using α = .1388, z =

A two-tailed test is performed at the .05 level of significance.The p-value is determined to be .09.The null hypothesis

What type of error occurs if you fail to reject H0 when, in fact, it is not true?

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

If the cost of making a Type I error is high, a smaller value should be chosen for the​

In the hypothesis testing procedure, α is the

For a lower tail test, the test statistic z is determined to be zero.The p-value for this test is

The level of significance, in hypothesis testing, is the probability of

When the area corresponding to the critical value is in the lower tail of the sampling distribution, the p-value is the area under the curve​

The average manufacturing work week in metropolitan Chattanooga was 40.1 hours last year.It is believed that the recession has led to a reduction in the average work week.To test the validity of this belief, the hypotheses are

Read the t statistic from the t distribution table and circle the correct answer.For a one-tailed test (upper tail) with a sample size of 26 and at the .10 level, t =

A random sample of 100 people was taken.Eighty-five 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 80%.The p-value is

A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average.Any overfilling or underfilling results in the shutdown and readjustment of the machine.To determine whether or not the machine is properly adjusted, the correct set of hypotheses is

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

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

Filters

For a one-tailed (upper tail) hypothesis test with a sample size of 18 and a .05 level of significance, the critical value of the test statistic t is

Two approaches to drawing a conclusion in a hypothesis test are

What type of error occurs if you fail to reject H₀ when, in fact, it is not true?

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

If the cost of making a Type I error is high, a smaller value should be chosen for the

When the area corresponding to the critical value is in the lower tail of the sampling distribution, the p-value is the area under the curve