Use this information to answer the following 6 questions:

A study is being conducted to compare the intake of calories at lunch for consumers of high-fiber breakfast cereals and non-consumers of high fiber breakfast cereals. From a random sample of 43 consumers of high fiber cereals, average calorie intake at lunch was 604.02, with a sample standard deviation of 64.05 calories. In a random sample of 107 non-consumers of high fiber breakfast cereals, the average calorie intake at lunch was 633.23, with a sample standard deviation of 103.3 calories. Assume that training time for each group is normally distributed. Use the following notations:

₁: The mean calorie intake at lunch for consumers of high fiber breakfast cereal

₂: The mean calorie intake at lunch for non-consumers of high fiber breakfast cereal

The goal of the statistical analysis is to determine whether the sample data support the hypothesis that average calorie intake at lunch for consumers of high fiber breakfast cereal is lower than that for non-consumers of high fiber breakfast cereal.

Question 1: What is the null hypothesis?

a.1- 2 = 0

b.1- 2 < 0

c.1- 2 0

d.1- 2 0

Question 2: What is the alternative hypothesis?

a.1- 2 < 0

b.1- 2 0

c.1- 2 > 0

d.1- 2 = 0

Question 3: What is the standard error ofX1X2?

a.10.61

b.3.97

c.0.39

d.13.97

Question 4: What is the value of the test statistic?

a.-1.35

b.-2.09

c.-0.65

d.2.09

Question 5: What is the p-value?

a.0.98

b.0.04

c.0.01

d.0.02

Question 6: At =0.1 and using the p-value

a.We do not reject Ho

b.We reject Ho in favor of Ha

The following 7 questions are based on this information.

It is generally believed that the incomes of workers depends on their field of employment. Other studies have shown that the level of education by workers also influences their income.

A random sample of incomes of three workers (for a given education level)who are employed in educational services, financial services and medical services is given in this link.

https://moodle-2016-2017.fullerton.edu/pluginfile.php/245399/question/questiontext/917262/8/2834553/Incomes.xlsx

You will be using two factor ANOVA to answer the questions that follow.We will be using 5% level of significance.

Question 7: We wish to test whether or not incomes differ by field of employment. What are the null and alternative hypotheses? Use the following notations:

(1): average income of a population of workers employed in educational services

(2): average income of a population of workers in financial services

(3): average income of a population of workers in medical services

a.H(0):(1)(2)(3)and H(a):(1) =(2) =(3)

b.H(0):(1)=(2)=(3)and H(a):(1)(2)(3)

c.H(0):(1)=(2)=(3)and H(a): At least one average is different

Question 8: What is the critical value used to test the null hypothesis in the preceding question? Rounded to 3 decimal points.

Fill in: ____________

Question 9: Which one of the following is a correct statistical conclusion?

a.Reject H(0) in favor of H(a)

b.Do not reject H(0)

Question 10: We wish to test that income depends on education level. What are the null and alternative hypotheses? Use the following notations:

(1): average income of a population of workers with high school education

(2): average income of a population of workers with Bachelor's degree

(3): average income of a population of workers with Master's degree

(4): average income of a population of workers with Ph.D.

a.H(0):(1) =(2) =(3)=(4)andH(a): At least one average is different

b.H(0):(1) (2) (3) (4)and H(a):(1) =(2) =(3) = (4)

c.H(0):(1) =(2) =(3) = (4)and H(a):(1) (2) (3)(4)

Question 11: What is the p-value used to test the null hypothesis in the preceding question?

Fill in: _________

Question 12: Which one of the following is a correct statistical conclusion?

a.Do not reject H(0)

b.Reject H(0) in favor of H(a)

Question 13: With respect to average income of workers, there isno interactionbetweeneducation levelandfield of employment. Is this statement correct?

a.True

b.False

Use this information to answer the following 5 questions.

Family transportation costs are usually higher than most people believe because those costs include car payments, insurance, fuel costs, repairs, parking and public transportation. Twenty randomly selected families in four major cities are asked to use their records to estimate a monthly figure for transportation cost. The sample data are given here in this link.

https://moodle-2016-2017.fullerton.edu/pluginfile.php/245399/question/questiontext/917262/16/2834547/Transport.xlsx

Using ANOVA, the goal is to test whether there is significant difference in monthly transportation costs for families living in these cities. Assume that transport costs in each city are normally distributed.

1:The mean transportation cost in Atlanta

2:The mean transportation cost in New York

3:The mean transportation cost in Los Angeles

4:The mean transportation cost in Chicago

We will be using 5% level of significance when conducting hypothesis testing.

Question 14: What is the null hypothesis

a.(1)(2)(3)(4)

b.(1) =(2) =(3)=(4)

Question 15: What is the value of the test statistic? Rounded to 2 decimal points

Fill In: ___________

Question 16: At 5% level of significance, what is the critical value? Rounded to 2 decimal points.

Fill in: ___________

Question 17: What is the p-value of the test? Rounded to 4 decimal points

Fill in:____________

Question 18: At the 5% level of significance,

a.At least one mean transportation cost is different

b.At least two mean transportation costs are different

Use this information to answer the following 7 questions.

A large financial institution is interested in training its college educated workforce "Advanced Microsoft Excel". Management is considering3approaches:online,traditional classroomandhybrid(a mix of both). Prior to launching the program throughout the entire organization, they decided to pilot test the three approaches.

Because they believed that educational background may affect the results, they selected 3 employees from each of10different college major program of study (liberal arts, accounting, economics, management, marketing, finance, information systems, computer science, operations, other), and randomly assigned each to one of the three approaches. At the end of training, each participant took an exam. Below is the partially completed ANOVA table.

Source

DF

SS

MS

F

P-value

Treatment(Training)

2

171.47

Block(Major)

9

2239.47

Error

18

206.53

Total

Question 19: What is themainnull hypothesisimplied in this problem?

a.(1)=(2)=(3)

b.(1)=(2)=...=(10)

Question 20: This is an example of

a.Observational Study

b.Experimental Study

Question 21: What is the value of MSTR?

a.85.735

b.11.474

c.171.47

d.248.83

Question 22: What is the value of theF-statistic(for the treatment)?

a.29

b.21.69

c.11.474

d.7.47

Question 23: What is the p-value?

a.0.01

b.0.11

c.0.004

d.<0.0001

Question 24: At 5% level of significance,

a.We do not reject the null hypothesis

b.We reject the null hypothesis

Question 25: In general, the purpose of blocking is to reduce

a.MSE

b.MSTR

Use this information to answer the following 5 questions.

Mr Seinfeld owns three restaurants. Lately he has been receiving several complaints about the cleanliness of his restaurants. John, one of his employees who has taken a business analytics class in his college years, was given the task of conducting a statistical test to determine if cleanliness among the restaurants is different. He recruited five fellow workers to serve as inspectors and their role is to grade the restaurants in a scale of 0 to 100.The results of their inspection are available in the the following link:

https://moodle-2016-2017.fullerton.edu/pluginfile.php/245399/question/questiontext/917262/30/2834577/DataFile.xlsx

John will the inspectors as blocks when conducting ANOVA test.He will also use 5% level of significance when conducting hypothesis testing.

Question 26: What is themainnull hypothesisimplied in this problem?

a.(1)=(2)=(3)=(4)=(5)

b.(1)=(2)=(3)

Question 27: What is the value of theF-statistic(for the treatment)?

a.3.84

b.102.80

c.4.46

d.0.27

Question 28: What is the p-value used to test the main hypothesis of interest?

a.1

b.0.89

c.0.11

d.0

Question 29: At 5% level of significance,

a.We reject the null hypothesis

b.We do not reject the null hypothesis

Question 30: At the 5% level of significance, the average ratings or grades of restaurants differ by inspector.

a.This is a correct conclusion

b.This is not a correct conclusion

Use this information to answer the following 6 questions::

A city wants to know if a new advertising campaign, to make citizens aware of the dangers of drunk driving, has been effective. They count the number of drivers who have been stopped with more alcohol in their systems than the law allows for each day of the week in the weekbeforeand the week a monthafterthe campaign starts. The results are in this data link:

https://moodle-2016-2017.fullerton.edu/pluginfile.php/245399/question/questiontext/917262/36/2834517/CampaignA.xlsx

Assume that the number of stops of drunk drivers (before as well as after the campaign) is each normally distributed. Use the following notation:

(d):The mean of the difference in number of daily stops of drunkdrivers between those daysafterand those daysbeforethecampaign.

We will be using 10% level of significance when conducting hypothesis testing.

Question 31: Specify the null and alternative hypotheses using correct notations.

a.H(0): (d)0 Versus H(a): (d)<0

b.b. H(0): (d) < 0 Versus H(a): (d)0

Question 32: What is the value of the test statistic?

a.-1.67

b.1.67

c.-1.44

d.1.44

Question 33: What is the critical value of the test?

a.1.44

b.-1.44

c.-1.94

d.1.94

Question 34: Using the critical value approach, what is the correct statistical conclusion?

a.Reject H(0) in favor of H(a)

b.Do not reject H(0)

Question 35: What is the p-value?

a.0.14529072

b.0.01

c.0.07264536

d.0.05

Question 36: Using the p-value approach, what is the correct statistical conclusion?

a.Reject H(0) in favor of H(a)

b.Do not reject HO