Question 1

The null hypothesis states that there is no difference between a parameter and a specific value, or that there is no difference between two parameters.

Accepted Answer

A) True 
 B)False

Question 2

Is the statement   a valid null hypothesis?

Accepted Answer

A)  Yes, this is a statement that compares a parameter to a value. 
B)  Yes, this is a statement that compares two parameters. 
C)  No, equalities are not permitted in a null hypothesis. 
D)  No, there is no parameter contained in this statement. 
A)  Yes, this is a statement that compares a parameter to a value. 
B)  Yes, this is a statement that compares two parameters. 
C)  No, equalities are not permitted in a null hypothesis. 
D)  No, there is no parameter contained in this statement.

Question 3

A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement?

Accepted Answer

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

Question 4

A manufacturer claims that its televisions have an average lifetime of at least five years (60 months) with a population standard deviation of seven months. Eighty-one televisions were selected at random, and the average lifetime was found to be 59 months. With α = 0.025, is the manufacturer's claim supported?

Accepted Answer

@#IMG-DLM& Critical value = -1.96
Test value = -1.

Question 5

A lumber mill is tested for consistency by measuring the variance of board thickness. The target accuracy is a variance of 0.0035 square inches or less. If 30 measurements are made and their variance is 0.006 square inches, is there enough evidence to reject the claim that the standard deviation is within the limit at   = .01?

Accepted Answer

A)  Yes, since the χ2 test value 49.71 is greater than the critical value 49.588. 
B)  No, since the χ2 test value 9.23 is less than the critical value 49.588. 
C)  Yes, since the χ2 test value 49.71 is less than the critical value 50.892. 
D)  No, since the χ2 test value 9.23 is less than the critical value 50.892. 
A)  Yes, since the χ2 test value 49.71 is greater than the critical value 49.588. 
B)  No, since the χ2 test value 9.23 is less than the critical value 49.588. 
C)  Yes, since the χ2 test value 49.71 is less than the critical value 50.892. 
D)  No, since the χ2 test value 9.23 is less than the critical value 50.892.

Question 6

If the sample mean is 7, the hypothesized population mean is 4, and the population standard deviation is 2, compute the test value needed for the z test.

Accepted Answer

A)  1.50 
B)  3.00 
C)  -3.00 
D)  -1.50 
A)  1.50 
B)  3.00 
C)  -3.00 
D)  -1.50

Question 7

A doctor claims that the standard deviation of systolic blood pressure is 12 mmHg. A random sample of 24 patients found a standard deviation of 14 mmHg. Assume the variable is normally distributed. At α = 0.01, what are the critical χ2 values?

Accepted Answer

A)  9.262 and 44.181 
B)  13.091 and 35.172 
C)  13.848 and 36.415 
D)  11.524 and 44.314 
A)  9.262 and 44.181 
B)  13.091 and 35.172 
C)  13.848 and 36.415 
D)  11.524 and 44.314

Question 8

Is the statement   a valid null hypothesis?

Accepted Answer

A)  Yes, this is a statement that compares a parameter to a value. 
B)  Yes, this is a statement that compares two parameters. 
C)  No, equalities are not permitted in a null hypothesis. 
D)  No, there is no parameter contained in this statement. 
A)  Yes, this is a statement that compares a parameter to a value. 
B)  Yes, this is a statement that compares two parameters. 
C)  No, equalities are not permitted in a null hypothesis. 
D)  No, there is no parameter contained in this statement.

Question 9

Sam Ying, a career counselor, claims the average number of years of schooling for an engineer is 15.8 years. A sample of 16 engineers had a mean of 15.0 years and a standard deviation of 1.5 years. The test value used in evaluating the claim would be -2.68.

Accepted Answer

A) True 
 B)False

Question 10

If the sample mean is 8, the hypothesized population mean is 11, and the population standard deviation is 2, compute the test value needed for the z test.

Accepted Answer

A)  1.50 
B)  3.00 
C)  -3.00 
D)  -1.50 
A)  1.50 
B)  3.00 
C)  -3.00 
D)  -1.50

Question 11

An average computer mouse inspector can inspect 45 mice per hour with a population standard deviation of 14 mice per hour. The 44 computer mice inspectors at a particular factory can only inspect 38 mice per hour. Does the company have reason to believe that these inspectors are slower than average at α = 0.10?

Accepted Answer

A)  Yes, because the test value -3.32 falls in the noncritical region. 
B)  No, because the test value -1.91 falls in the critical region. 
C)  Yes, because the test value -3.32 falls in the critical region. 
D)  No, because the test value -1.91 falls in the noncritical region. 
A)  Yes, because the test value -3.32 falls in the noncritical region. 
B)  No, because the test value -1.91 falls in the critical region. 
C)  Yes, because the test value -3.32 falls in the critical region. 
D)  No, because the test value -1.91 falls in the noncritical region.

Question 12

Is the statement   a valid null hypothesis?

Accepted Answer

A)  Yes, this is a statement that compares a parameter to a value. 
B)  Yes, this is a statement that compares two parameters. 
C)  No, equalities are not permitted in a null hypothesis. 
D)  No, there is no parameter contained in this statement. 
A)  Yes, this is a statement that compares a parameter to a value. 
B)  Yes, this is a statement that compares two parameters. 
C)  No, equalities are not permitted in a null hypothesis. 
D)  No, there is no parameter contained in this statement.

Question 13

For the conjecture "The average weight of a cuckoo bird is less than 1.3 pounds", the null and alternative hypotheses are:

Accepted Answer

A)    The average weight of a cuckoo bird is less than or equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. 
B)    The average weight of a cuckoo bird is equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. 
C)    The average weight of a cuckoo bird is more than 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. 
D)    The average weight of a cuckoo bird is less than $1.3 pounds.   The average weight of a cuckoo bird is more than or equal to $1.3 pounds. 
A)    The average weight of a cuckoo bird is less than or equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. 
B)    The average weight of a cuckoo bird is equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. 
C)    The average weight of a cuckoo bird is more than 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. 
D)    The average weight of a cuckoo bird is less than $1.3 pounds.   The average weight of a cuckoo bird is more than or equal to $1.3 pounds.

Question 14

The χ2 critical value for n = 16 and α = 0.01 for a left-tailed test is 5.812.

Accepted Answer

A) True 
 B)False

Question 15

Use the following to answer questions:
A recent survey indicated that the average amount spent for breakfast by business managers was $7.58 with a standard deviation of $0.42. It was felt that breakfasts on the West Coast were higher than $7.58. A sample of 81 business managers on the West Coast had an average breakfast cost of $7.65.
-Find the P-value for the test.

Accepted Answer

A)  0.4332 
B)  0.2734 
C)  0.1325 
D)  0.0668 
A)  0.4332 
B)  0.2734 
C)  0.1325 
D)  0.0668

Question 16

The average greyhound can reach a top speed of 18.5 meters per second. A particular greyhound breeder claims her dogs are faster than the average greyhound. A sample of 40 of her dogs ran, on average, 19.2 meters per second with a population standard deviation of 1.2 meters per second. With α = 0.05, is her claim correct?

Accepted Answer

A)  Yes, because the test value 0.09 falls in the noncritical region. 
B)  No, because the test value 0.09 falls in the critical region. 
C)  Yes, because the test value 3.69 falls in the critical region. 
D)  No, because the test value 0.70 falls in the critical region. 
A)  Yes, because the test value 0.09 falls in the noncritical region. 
B)  No, because the test value 0.09 falls in the critical region. 
C)  Yes, because the test value 3.69 falls in the critical region. 
D)  No, because the test value 0.70 falls in the critical region.

Question 17

Use the following to answer questions :
The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150 with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an average selling price of $123,550. The Eagle Ridge Home Owners Association is interested in knowing if the costs of homes for sale in this subdivision are actually lower than claimed?
-What is the p-value for this left-tailed test?

Accepted Answer

A)  0.0853 
B)  0.0951 
C)  0.1327 
D)  0.0036 
A)  0.0853 
B)  0.0951 
C)  0.1327 
D)  0.0036

Question 18

Which type of null hypothesis is used in the figure below?

Accepted Answer

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

Question 19

Use the following to answer questions :
The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150 with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an average selling price of $123,550. The Eagle Ridge Home Owners Association is interested in knowing if the costs of homes for sale in this subdivision are actually lower than claimed?
-Compute the test value?

Accepted Answer

A)  -1.31 
B)  1.31 
C)  -1.52 
D)  1.52 
A)  -1.31 
B)  1.31 
C)  -1.52 
D)  1.52

Question 20

The formula for the test value in a z test for proportions is __________.

Accepted Answer

The answer of The formula for the test value in...

The null hypothesis states that there is no difference between a parameter and a specific value, or that there is no difference between two parameters.

Is the statement a valid null hypothesis?

A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement?

If the sample mean is 7, the hypothesized population mean is 4, and the population standard deviation is 2, compute the test value needed for the z test.

A doctor claims that the standard deviation of systolic blood pressure is 12 mmHg. A random sample of 24 patients found a standard deviation of 14 mmHg. Assume the variable is normally distributed. At α = 0.01, what are the critical χ²values?

Is the statement a valid null hypothesis?

Sam Ying, a career counselor, claims the average number of years of schooling for an engineer is 15.8 years. A sample of 16 engineers had a mean of 15.0 years and a standard deviation of 1.5 years. The test value used in evaluating the claim would be -2.68.

If the sample mean is 8, the hypothesized population mean is 11, and the population standard deviation is 2, compute the test value needed for the z test.

Is the statement a valid null hypothesis?

For the conjecture "The average weight of a cuckoo bird is less than 1.3 pounds", the null and alternative hypotheses are:

The χ² critical value for n = 16 and α = 0.01 for a left-tailed test is 5.812.

Which type of null hypothesis is used in the figure below?

The formula for the test value in a z test for proportions is __________.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Exam 8: Hypothesis Testing

The null hypothesis states that there is no difference between a parameter and a specific value, or that there is no difference between two parameters.

Is the statement a valid null hypothesis?

A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement?

If the sample mean is 7, the hypothesized population mean is 4, and the population standard deviation is 2, compute the test value needed for the z test.

A doctor claims that the standard deviation of systolic blood pressure is 12 mmHg. A random sample of 24 patients found a standard deviation of 14 mmHg. Assume the variable is normally distributed. At α = 0.01, what are the critical χ2 values?

Is the statement a valid null hypothesis?

Sam Ying, a career counselor, claims the average number of years of schooling for an engineer is 15.8 years. A sample of 16 engineers had a mean of 15.0 years and a standard deviation of 1.5 years. The test value used in evaluating the claim would be -2.68.

If the sample mean is 8, the hypothesized population mean is 11, and the population standard deviation is 2, compute the test value needed for the z test.

Is the statement a valid null hypothesis?

For the conjecture "The average weight of a cuckoo bird is less than 1.3 pounds", the null and alternative hypotheses are:

The χ2 critical value for n = 16 and α = 0.01 for a left-tailed test is 5.812.

Which type of null hypothesis is used in the figure below?

The formula for the test value in a z test for proportions is __________.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

A doctor claims that the standard deviation of systolic blood pressure is 12 mmHg. A random sample of 24 patients found a standard deviation of 14 mmHg. Assume the variable is normally distributed. At α = 0.01, what are the critical χ²values?

The χ² critical value for n = 16 and α = 0.01 for a left-tailed test is 5.812.