Question 1

If the level of significance of a hypothesis test is raised from .01 to .05, the probability of a Type II error

Accepted Answer

A) will also increase from .01 to .05 
B) will not change 
C) will decrease 
D) will increase 
A) will also increase from .01 to .05 
B) will not change 
C) will decrease 
D) will increase C

Question 2

The sum of the values of $\alpha$ and $\beta$

Accepted Answer

A) always add up to 1.0 
B) always add up to 0.5 
C) is the probability of Type II error 
D) none of these alternatives is correct 
A) always add up to 1.0 
B) always add up to 0.5 
C) is the probability of Type II error 
D) none of these alternatives is correct D

Question 3

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: $\mu$a: $\mu$ 5 B) H0: $\mu$ 5 Ha: $\mu$ > 5 C) H0: $\mu$ > 5 Ha: $\mu$ 5 D) H0: $\mu$ 5 Ha: $\mu$ < 5 A) H0: $\mu$a: $\mu$ 5 B) H0: $\mu$ 5 Ha: $\mu$ > 5 C) H0: $\mu$ > 5 Ha: $\mu$ 5 D) H0: $\mu$ 5 Ha: $\mu$ < 5 B

Question 4

The p-value

Accepted Answer

A) is the same as the Z statistic 
B) measures the number of standard deviations from the mean 
C) is a distance 
D) is a probability 
A) is the same as the Z statistic 
B) measures the number of standard deviations from the mean 
C) is a distance 
D) is a probability

Question 5

As the test statistic becomes larger, the p-value

Accepted Answer

A) gets smaller 
B) becomes larger 
C) stays the same, since the sample size has not been changed 
D) becomes negative 
A) gets smaller 
B) becomes larger 
C) stays the same, since the sample size has not been changed 
D) becomes negative

Question 6

If a hypothesis is not rejected at the 5% level of significance, it

Accepted Answer

A) will also not be rejected at the 1% level 
B) will always be rejected at the 1% level 
C) will sometimes be rejected at the 1% level 
D) None of these alternatives is correct. 
A) will also not be rejected at the 1% level 
B) will always be rejected at the 1% level 
C) will sometimes be rejected at the 1% level 
D) None of these alternatives is correct.

Question 7

Some people who bought X-Game gaming systems complained about having received defective systems. The industry standard for such systems has been ninety-eight percent non-defective systems. In a sample of 120 units sold, 6 units were defective.
a.Compute the proportion of defective items in the sample.
b.
b.Compute the standard error of   . 
c.At 95% confidence using the critical value approach, test to see if the percentage of defective systems produced by X-Game has exceeded the industry standard.
d.Show that the p-value approach results in the same conclusion as that of part

Accepted Answer

a.0.05
b.0.0128
c.Test statist

Question 8

The average monthly rent for one-bedroom apartments in Chattanooga has been $700. Because of the downturn in the real estate market, it is believed that there has been a decrease in the average rental. The correct hypotheses to be tested are

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

The Department of Economic and Community Development (DECD) reported that in 2009 the average number of new jobs created per county was 450. The department also provided the following information regarding a sample of 5 counties in 2010.   
a.Compute the sample average and the standard deviation for 2010.
b.We want to determine whether there has been a significant decrease in the average number of jobs created. Provide the null and the alternative hypotheses.
c.Compute the test statistic.
d.Compute the p-value; and at 95% confidence, test the hypotheses. Assume the population is normally distributed.

Accepted Answer

a. @#IMG-DLM& = 425 and s = 32.44 (round

Question 10

The average hourly wage of computer programmers with 2 years of experience has been $21.80. Because of high demand for computer programmers, it is believed there has been a significant increase in the average wage of computer programmers. To test whether or not there has been an increase, the correct hypotheses to be tested are

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

Consider the following hypothesis test:
Ho:$\mu$ = 10
Ha: $\mu$$\neq$10
A sample of 81 provides a sample mean of 9.5 and a sample standard deviation of 1.8.
a.Determine the standard error of the mean.
b.Compute the value of the test statistic.
c.Determine the p-value; and at 95% confidence, test the above hypotheses.

Accepted Answer

a.0.2
b.t = -2.5
c.p

Question 12

In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that the average price of the rooms in the sample was $108.50 with a standard deviation of $16.
a.Formulate the hypotheses to determine whether or not the average room price is significantly different from $112.
b.Compute the test statistic.
c.At 95% confidence using the p-value approach, test the hypotheses. Let $\alpha$ = 0.1.

Accepted Answer

a.H₀:@#LAT-DLM& = 112 H_a: @#LAT-DLM& @#LAT-DLM& 112

Question 13

In a two-tailed hypothesis test situation, the test statistic is determined to be t = -2.692. The sample size has been 45. The p-value for this test is

Accepted Answer

A) -0.005 
B) +0.005 
C) -0.01 
D) +0.01 
A) -0.005 
B) +0.005 
C) -0.01 
D) +0.01

Question 14

Before the last presidential debates, 50% of registered votes indicated they were planning to vote for the incumbent president. In a recent poll of 1200 registered voters after the debates, 636 indicated they are planning to vote for the incumbent president. Has there been a significant increase in the proportion of registered voters who are planning to vote for the incumbent president?
a.State the null and alternative hypotheses to be tested.
b.Compute the test statistic.
c.The null hypothesis is to be tested at 95% confidence. Determine the critical value(s) for this test.
d.What do you conclude?
e.Compute the p-value.

Accepted Answer

a.H_o: p @#LAT-DLM& 0.50 H_a: p > 0.50 b.Test statisti

Question 15

Consider the following hypotheses test.
Ho: $\mu$$\ge$ 80
Ha: $\mu$ < 80
A sample of 121 provided a sample mean of 77.3. The population standard deviation is known to be 16.5.
a.Compute the value of the test statistic.
b.Determine the p-value; and at 93.7% confidence, test the above hypotheses.
c.Using the critical value approach at 93.7% confidence, test the hypotheses.

Accepted Answer

a.Z = -1.8
b.p-value

Question 16

Exhibit 9-3
n = 49   = 54.8
s = 28
HS1U1B10S1U1B0: $\mu$  50
HS1U1B1aS1U1B0: $\mu$> 50
-Refer to Exhibit 9-3. If the test is done at the 5% level of significance, the null hypothesis should

Accepted Answer

A) not be rejected 
B) be rejected 
C) Not enough information given to answer this question. 
D) None of these alternatives is correct. 
A) not be rejected 
B) be rejected 
C) Not enough information given to answer this question. 
D) None of these alternatives is correct.

Question 17

You are given the following information obtained from a random sample of 5 observations. Assume the population has a normal distribution.
20 18 17 22 18
You want to determine whether or not the mean of the population from which this sample was taken is significantly less than 21.
a.State the null and the alternative hypotheses.
b.Compute the standard error of the mean.
c.Determine the test statistic.
d.Determine the p-value and at 90% confidence, test whether or not the mean of the population is significantly less than 21.

Accepted Answer

a.H₀: @#LAT-DLM&@#IMG-DLM& 21 H_a: @#LAT-DLM& < 21 b.0.8944 c.t

Question 18

A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces.
a.Formulate the hypotheses to test to determine if the machine is in perfect adjustment.
b.Compute the value of the test statistic.
c.Compute the p-value and give your conclusion regarding the adjustment of the machine. Let $\alpha$ = .05.

Accepted Answer

a.H₀: @#LAT-DLM& = 12 H_a: @#LAT-DLM& @#LAT-DLM&12 b.

Question 19

Exhibit 9-6
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.
-Refer to Exhibit 9-6. 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

Question 20

For a one-tailed test (lower tail) with 22 degrees of freedom at 95% confidence, the value of t =

Accepted Answer

A) -1.383 
B) 1.383 
C) -1.717 
D) -1.721 
A) -1.383 
B) 1.383 
C) -1.717 
D) -1.721

If the level of significance of a hypothesis test is raised from .01 to .05, the probability of a Type II error

The sum of the values of $\alpha$ and $\beta$

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 p-value

As the test statistic becomes larger, the p-value

If a hypothesis is not rejected at the 5% level of significance, it

The average monthly rent for one-bedroom apartments in Chattanooga has been $700. Because of the downturn in the real estate market, it is believed that there has been a decrease in the average rental. The correct hypotheses to be tested are

In a two-tailed hypothesis test situation, the test statistic is determined to be t = -2.692. The sample size has been 45. The p-value for this test is

For a one-tailed test (lower tail) with 22 degrees of freedom at 95% confidence, the value of t =

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Inferences About Population Variances

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Exam 9: Hypothesis Tests

If the level of significance of a hypothesis test is raised from .01 to .05, the probability of a Type II error

The sum of the values of α\alphaα and β\betaβ

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 p-value

As the test statistic becomes larger, the p-value

If a hypothesis is not rejected at the 5% level of significance, it

The average monthly rent for one-bedroom apartments in Chattanooga has been $700. Because of the downturn in the real estate market, it is believed that there has been a decrease in the average rental. The correct hypotheses to be tested are

In a two-tailed hypothesis test situation, the test statistic is determined to be t = -2.692. The sample size has been 45. The p-value for this test is

Exhibit 9-3 n = 49 = 54.8 s = 28 H0: μ\muμ 50 Ha: μ\muμ > 50 -Refer to Exhibit 9-3. If the test is done at the 5% level of significance, the null hypothesis should

For a one-tailed test (lower tail) with 22 degrees of freedom at 95% confidence, the value of t =

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

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

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

The sum of the values of $\alpha$ and $\beta$