Question 1

If the alternative hypothesis states that μ > 6,700, what is the rejection region for the hypothesis
Test?

Accepted Answer

A)  Both tails 
B)  Lower tail 
C)  Upper tail 
D)  Center 
A)  Both tails 
B)  Lower tail 
C)  Upper tail 
D)  Center C

Question 2

i. If the critical values of the test statistic z are ±1.96, they are the dividing points between the areas
Of rejection and non-rejection.
ii. The probability of a Type I error is also referred to as alpha.
iii. A Type I error is the probability of rejecting a true null hypothesis.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (i), (ii), and (iii) are all false statements. A

Question 3

Using a 5% level of signiﬁcance and a sample size of 25, what is the critical t value for a null
Hypothesis, H0: µ ≤ 100?

Accepted Answer

A)  1.708 
B)  1.711 
C)  2.060 
D)  2.064 
A)  1.708 
B)  1.711 
C)  2.060 
D)  2.064 B

Question 4

The mean weight of newborn infants at a community hospital is said to be 6.6 pounds. A sample of
Seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8,
8)4, and 6.6 pounds. Does this sample support the original claim? What is the decision for a
Signiﬁcant increase in the average birthrate at a 5% level of signiﬁcance?

Accepted Answer

A)  Fail to reject the null hypothesis and conclude the mean is 6.6 lb. 
B)  Reject the null hypothesis and conclude the mean is lower than 6.6 lb. 
C)  Reject the null hypothesis and conclude the mean is greater than 6.6 lb. 
D)  Cannot calculate because population standard deviation is unknown. 
A)  Fail to reject the null hypothesis and conclude the mean is 6.6 lb. 
B)  Reject the null hypothesis and conclude the mean is lower than 6.6 lb. 
C)  Reject the null hypothesis and conclude the mean is greater than 6.6 lb. 
D)  Cannot calculate because population standard deviation is unknown.

Question 5

The mean gross annual incomes of certiﬁed tack welders are normally distributed with the mean of
$50,000 and a standard deviation of $4,000. The ship building association wishes to ﬁnd out
Whether their tack welders earn more or less than $50,000 annually. The alternate hypothesis is
That the mean is not $50,000.
If the level of signiﬁcance is 0.10, what is the decision rule?

Accepted Answer

A)  Do not reject the null hypothesis if computed z lies between -1.65 and +1.65; otherwise, reject it. 
B)  Do not reject the null hypothesis if computed z is greater than 1.65; otherwise, reject it. 
C)  Do not reject the null hypothesis if computed z lies between -1.96 and +1.96; otherwise, reject it. 
D)  Reject the null hypothesis if computed z is below -1.96; otherwise, reject it. 
A)  Do not reject the null hypothesis if computed z lies between -1.65 and +1.65; otherwise, reject it. 
B)  Do not reject the null hypothesis if computed z is greater than 1.65; otherwise, reject it. 
C)  Do not reject the null hypothesis if computed z lies between -1.96 and +1.96; otherwise, reject it. 
D)  Reject the null hypothesis if computed z is below -1.96; otherwise, reject it.

Question 6

From past records it is known that the average life of a battery used in a digital clock is 305 days.
The battery life is normally distributed. The battery was recently modiﬁed to last longer. A sample of
20 of the modiﬁed batteries was tested. It was discovered that the mean life was 311 days and the
Sample standard deviation was 12 days. We want to test at the 0.05 level of signiﬁcance whether
The modiﬁcation increases the life of the battery. What is our decision rule?

Accepted Answer

A)  Do not reject the null hypothesis if computed t is 1.96 or greater 
B)  Reject the null hypothesis if computed t is less than 1.96 
C)  Do not reject the null hypothesis if computed t is 1.729 or greater 
D)  Reject the null hypothesis if computed t is 2.086 or greater 
E)  Reject the null hypothesis if the computed t is 1.729 or greater 
A)  Do not reject the null hypothesis if computed t is 1.96 or greater 
B)  Reject the null hypothesis if computed t is less than 1.96 
C)  Do not reject the null hypothesis if computed t is 1.729 or greater 
D)  Reject the null hypothesis if computed t is 2.086 or greater 
E)  Reject the null hypothesis if the computed t is 1.729 or greater

Question 7

The Jamestown Steel Company manufactures and assembles desks and other oﬃce equipment at
Several plants. The weekly production of the Model A325 desk follows a normal probability
Distribution, with a mean of 200 and a standard deviation of 16. Recently, due to market expansion,
New production methods have been introduced and new employees hired. The vice president of
Manufacturing would like to investigate whether there has been a change in the weekly production
Of the Model A325 desk. Is the mean number of desks produced different from 200? The mean
Number of desks produced last year (50 weeks, because the plant was shut down two weeks for
Vacation) is 203.5. Test using the .01 signiﬁcance level.
i. The alternate hypothesis is μ ≠ 200.
ii. It is appropriate to use the z-test.
iii. The decision rule is: if the computed value of the test statistic is not between -2.58 and 2.58,
Reject the null hypothesis.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 8

i. If the critical values of the test statistic z are ±1.96, they are the dividing points between the areas
Of rejection and non-rejection.
ii. The probability of a Type I error is also referred to as alpha.
iii. A Type I error is the probability of accepting a true null hypothesis.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (i), (ii), and (iii) are all false statements.

Question 9

If the 1% level of signiﬁcance is used and the computed value of z is +6.00, what is our decision?

Accepted Answer

A)  Do not reject H0 
B)  Reject H0 
C)  Reject H1 
A)  Do not reject H0 
B)  Reject H0 
C)  Reject H1

Question 10

What do we call the statement that determines if the null hypothesis is rejected?

Accepted Answer

A)  Decision rule 
B)  Test statistic 
C)  Alternate hypothesis 
D)  Critical value 
A)  Decision rule 
B)  Test statistic 
C)  Alternate hypothesis 
D)  Critical value

Question 11

The Jamestown Steel Company manufactures and assembles desks and other oﬃce equipment at
Several plants. The weekly production of the Model A325 desk follows a normal probability
Distribution, with a mean of 200 and a standard deviation of 16. Recently, due to market expansion,
New production methods have been introduced and new employees hired. The vice president of
Manufacturing would like to investigate whether there has been an increase in the weekly
Production of the Model A325 desk. The mean number of desks produced last year (50 weeks,
Because the plant was shut down two weeks for vacation) is 203.5. Is the mean number of desks
Increased from 200? Test using the .01 signiﬁcance level.

Accepted Answer

A)  Reject the null hypothesis; there is suﬃcient evidence to indicate an increase in the weekly production. 
B)  Unable to reject the null hypothesis; there is suﬃcient evidence to indicate a change in weekly production. 
C)  Unable to reject the null hypothesis; there is insuﬃcient evidence to indicate an increase in weekly production. 
D)  Reject the null hypothesis; there is insuﬃcient evidence to indicate a change in the weekly production. 
A)  Reject the null hypothesis; there is suﬃcient evidence to indicate an increase in the weekly production. 
B)  Unable to reject the null hypothesis; there is suﬃcient evidence to indicate a change in weekly production. 
C)  Unable to reject the null hypothesis; there is insuﬃcient evidence to indicate an increase in weekly production. 
D)  Reject the null hypothesis; there is insuﬃcient evidence to indicate a change in the weekly production.

Question 12

It is claimed that in a bushel of peaches less than ten percent are defective. A sample of 400
Peaches is examined and 50 are found to be defective. What is the alternate hypothesis for a one-
Sided test?

Accepted Answer

A) p ≠ 0.10 B) p > 0.10 C) p ≤ 0.10 D) p = 0.10 E) p < 0.10 A) p ≠ 0.10 B) p > 0.10 C) p ≤ 0.10 D) p = 0.10 E) p < 0.10

Question 13

If 20 out of 50 students sampled live in a college dormitory, what is the estimated proportion of
Students at the University living in a dormitory?

Accepted Answer

A)  0.20 
B)  0.40 
C)  0.50 
D)  0.60 
A)  0.20 
B)  0.40 
C)  0.50 
D)  0.60

Question 14

The following summarizes the average of the TSE 300 Index at the end of 20 randomly selected
Weeks in 2000.  
Using a 5% level of signiﬁcance, can it be agreed that the Index average was more than $9,600
During the year 2000?

Accepted Answer

A)  Fail to reject the null hypothesis and conclude the mean index was 9,600. 
B)  Reject the null hypothesis and conclude the mean index was lower than 9,600. 
C)  Reject the null hypothesis and conclude the mean index was greater than 9,600. 
D)  Reject the null hypothesis and conclude the mean index was different from 9,600. 
A)  Fail to reject the null hypothesis and conclude the mean index was 9,600. 
B)  Reject the null hypothesis and conclude the mean index was lower than 9,600. 
C)  Reject the null hypothesis and conclude the mean index was greater than 9,600. 
D)  Reject the null hypothesis and conclude the mean index was different from 9,600.

Question 15

The mean gross annual incomes of certiﬁed tack welders are normally distributed with the mean of
$50,000 and a standard deviation of $4,000. The ship building association wishes to ﬁnd out
Whether their tack welders earn more or less than $50,000 annually. The alternate hypothesis is
That the mean is not $50,000. When tested at the 99% level, these are the results found with
Megastat:

Accepted Answer

A)  Since the p-value is 0.43 at this level of testing, there is insuﬃcient evidence to say that the welders earn an income different from $50,000. 
B)  Since the p-value is 0.43 at this level of testing, there is suﬃcient evidence to say that the welders earn more than $50,000. 
C)  The p-value of 0.043 indicates that there is suﬃcient evidence to say that the welders earn more than $50,000. 
A)  Since the p-value is 0.43 at this level of testing, there is insuﬃcient evidence to say that the welders earn an income different from $50,000. 
B)  Since the p-value is 0.43 at this level of testing, there is suﬃcient evidence to say that the welders earn more than $50,000. 
C)  The p-value of 0.043 indicates that there is suﬃcient evidence to say that the welders earn more than $50,000.

Question 16

i. Two examples of a hypothesis are:
1) mean monthly income from all sources for senior citizens is $841 and
2) twenty percent of juvenile offenders ultimately are caught and sentenced to prison.
ii. Since there is more variability in sample means computed from smaller samples, we have more
Conﬁdence in the resulting estimates and are less apt to reject null hypothesis.
iii. The test statistic for a problem where the population standard deviation is unknown is the
Student's t distribution.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (i), (ii), and (iii) are all false statements.

Question 17

The mean weight of newborn infants at a community hospital is said to be 6.6 pounds. A sample of
Seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8,
8)4, and 6.6 pounds. What are the degrees of freedom associated with this claim?

Accepted Answer

A)  7 
B)  8 
C)  6 
D)  6.6 
E)  7.6 
A)  7 
B)  8 
C)  6 
D)  6.6 
E)  7.6

Question 18

The dean of a business school claims that the average starting salary of its graduates is more than
$50,000. It is known that the population standard deviation is $10,000. Sample data on the starting
Salaries of 36 randomly selected recent graduates yielded a mean of $62,000. What is the value of
The sample test statistic?

Accepted Answer

A)  z = 7.2 
B)  t = 5.04 
C)  z = 2.7 
D)  z = 5.6 
A)  z = 7.2 
B)  t = 5.04 
C)  z = 2.7 
D)  z = 5.6

Question 19

i. An alternate hypothesis is a statement about a population parameter that is accepted when the
Null hypothesis is rejected.
ii. The level of signiﬁcance is the risk we assume of rejecting the null hypothesis when it is actually
True.
iii. The researcher must decide on the level of signiﬁcance before formulating a decision rule and
Collecting sample data.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (i), (ii), and (iii) are all false statements.

Question 20

The mean weight of newborn infants at a community hospital is said to be 6.6 pounds. A sample of
Seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8,
8)4, and 6.6 pounds. What is the sample variance?

Accepted Answer

A)  1.177 
B)  6.6 
C)  1.385 
D)  7.6 
A)  1.177 
B)  6.6 
C)  1.385 
D)  7.6

If the alternative hypothesis states that μ > 6,700, what is the rejection region for the hypothesis Test?

i. If the critical values of the test statistic z are ±1.96, they are the dividing points between the areas Of rejection and non-rejection. ii. The probability of a Type I error is also referred to as alpha. iii. A Type I error is the probability of rejecting a true null hypothesis.

Using a 5% level of signiﬁcance and a sample size of 25, what is the critical t value for a null Hypothesis, H0: µ ≤ 100?

i. If the critical values of the test statistic z are ±1.96, they are the dividing points between the areas Of rejection and non-rejection. ii. The probability of a Type I error is also referred to as alpha. iii. A Type I error is the probability of accepting a true null hypothesis.

If the 1% level of signiﬁcance is used and the computed value of z is +6.00, what is our decision?

What do we call the statement that determines if the null hypothesis is rejected?

It is claimed that in a bushel of peaches less than ten percent are defective. A sample of 400 Peaches is examined and 50 are found to be defective. What is the alternate hypothesis for a one- Sided test?

If 20 out of 50 students sampled live in a college dormitory, what is the estimated proportion of Students at the University living in a dormitory?

The following summarizes the average of the TSE 300 Index at the end of 20 randomly selected Weeks in 2000. Using a 5% level of signiﬁcance, can it be agreed that the Index average was more than $9,600 During the year 2000?

The mean weight of newborn infants at a community hospital is said to be 6.6 pounds. A sample of Seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8)4, and 6.6 pounds. What are the degrees of freedom associated with this claim?

The mean weight of newborn infants at a community hospital is said to be 6.6 pounds. A sample of Seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8)4, and 6.6 pounds. What is the sample variance?

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Pata

A Sulvey of Probability Concepts

Discrete Probability Distributions

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters

Exam 9: Estimation and Confidence Intervals

If the alternative hypothesis states that μ > 6,700, what is the rejection region for the hypothesis Test?

i. If the critical values of the test statistic z are ±1.96, they are the dividing points between the areas Of rejection and non-rejection. ii. The probability of a Type I error is also referred to as alpha. iii. A Type I error is the probability of rejecting a true null hypothesis.

Using a 5% level of signiﬁcance and a sample size of 25, what is the critical t value for a null Hypothesis, H0: µ ≤ 100?

i. If the critical values of the test statistic z are ±1.96, they are the dividing points between the areas Of rejection and non-rejection. ii. The probability of a Type I error is also referred to as alpha. iii. A Type I error is the probability of accepting a true null hypothesis.

If the 1% level of signiﬁcance is used and the computed value of z is +6.00, what is our decision?

What do we call the statement that determines if the null hypothesis is rejected?

It is claimed that in a bushel of peaches less than ten percent are defective. A sample of 400 Peaches is examined and 50 are found to be defective. What is the alternate hypothesis for a one- Sided test?

If 20 out of 50 students sampled live in a college dormitory, what is the estimated proportion of Students at the University living in a dormitory?

The following summarizes the average of the TSE 300 Index at the end of 20 randomly selected Weeks in 2000. Using a 5% level of signiﬁcance, can it be agreed that the Index average was more than $9,600 During the year 2000?

The mean weight of newborn infants at a community hospital is said to be 6.6 pounds. A sample of Seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8)4, and 6.6 pounds. What are the degrees of freedom associated with this claim?

The mean weight of newborn infants at a community hospital is said to be 6.6 pounds. A sample of Seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8)4, and 6.6 pounds. What is the sample variance?

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Pata

A Sulvey of Probability Concepts

Discrete Probability Distributions

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters