Question

Computational Problems: To obtain the correct multiple-choice answers, perform the computational work and save it to review later when you compare your answers with mine, which will be uploaded on Canvas soon after you take the exam.

This is a computational problem that will cover questions A-P. A university security office investigates if there is a statistical difference in public endangerment driving between the three most common traffic violations students commit while driving on the campus streets (Group 1: driving while texting; Group 2: driving while smoking pot; Group 3: driving while eating burger and fries). Do all computational work, including the post-hoc tests and effect size, if necessary.

Group 1: x1	Group 2: x2	Group 3: x3
9 10 10 9 8 9 9	5 4 3 5 2 3 4	8 8 7 7 6 6 7

a) What is the sum of the squares between?

Group of answer choices

104.666

118.952

104.711

14.286

b) From question 51, what is the sum of the squares within?

Group of answer choices

105

119

118.952

14.286

104.666

c) From question 51, what is the sum of the squares total?

Group of answer choices

118.952

104.667

14.286

104.666

d) From question 51, what are the degrees of freedom?

Group of answer choices

degrees of freedom between

      [ Choose ]            3            18            20            21            2      

degrees of freedom within

      [ Choose ]            3            18            20            21            2      

degrees of freedom total

      [ Choose ]            3            18            20            21            2      

E) From question 51, what are the sample means?

Group of answer choices

sample mean group 1

      [ Choose ]            9.714            3.8            3.714            7            -7            9.143      

sample mean group 2

      [ Choose ]            9.714            3.8            3.714            7            -7            9.143      

sample mean group 3

[ Choose ]            9.714            3.8            3.714            7            -7            9.143      

F) From question 51, state step 1:

Group of answer choices

H0: Not H1 // H1: u1 = u2 = u3

H1: u1 - u2 - u3 // H0: u + u2 + u3

H0: u1 = u2 = u3 // H1: Not H0

g) From question 51: what are the mean squares?

Group of answer choices

MS between

      [ Choose ]            .794            65.911            52.333      

MS within

      [ Choose ]            .794            65.911            52.333      

H) From question 51, what is the F_obt?

Group of answer choices

5.691

65.911

56.911

I) From question 51, what are the two F critical values?

Group of answer choices

alpha = .05

      [ Choose ]            6.01            4.41            8.28            3.55      

alpha = .01

      [ Choose ]            6.01            4.41            8.28            3.55      

K) From question 51, what is your decision, step 4?

Group of answer choices

Reject H0

Retain H0

L) From question 51, what is your conclusion, step 5?

Group of answer choices

It appears that there is a significant difference in public endangerment driving between the three most common traffic violations

It appears that there is no significant difference between driving while texting, driving while vaping marijuana, and driving while eating burger and fries

It appears that there is a difference between the number of endangerments.

M) From question 51, what is the value of Tukey's HSD?

Group of answer choices

1.213

7

1.368

1.579

N) From question 51, of the mean differences, which are significant?

Group of answer choices

5.429

      [ Choose ]            not significant            no statistical significance             undetermined            significant      

2.143

      [ Choose ]            not significant            no statistical significance             undetermined            significant      

-3.286

      [ Choose ]            not significant            no statistical significance             undetermined            significant   

O) From question 51, match the conclusion to each mean difference.

Group of answer choices

mean 1 - mean 2

      [ Choose ]            It appears that driving while eating burger and fries results in significantly more public endangerment driving than driving while smoking pot            It appears that driving while texting results in significantly more public endangerment than driving while smoking pot            It appears that driving while texting results in significantly more public endangerment driving than driving while eating burger and fries      

mean 1 - mean 3

      [ Choose ]            It appears that driving while eating burger and fries results in significantly more public endangerment driving than driving while smoking pot            It appears that driving while texting results in significantly more public endangerment than driving while smoking pot            It appears that driving while texting results in significantly more public endangerment driving than driving while eating burger and fries      

mean 2 - mean 3

      [ Choose ]            It appears that driving while eating burger and fries results in significantly more public endangerment driving than driving while smoking pot            It appears that driving while texting results in significantly more public endangerment than driving while smoking pot            It appears that driving while texting results in significantly more public endangerment driving than driving while eating burger and fries   

p) From question 51, what is the effect size?

.880

Group of answer choices

      [ Choose ]            Tukey's HSD            Eta square            Confidence interval            Point biserial squared coefficient            Cohen's d      

  

Answer 1

Answer:

For the given data, using One-way ANOVA:

From the ANOVA output,

a)

sum of the squares between = 104.666

b)

sum of the squares within = 14.286

c)

sum of the squares total = 118.952

d)

degrees of freedom between = 2

degrees of freedom within = 18

degrees of freedom total = 20

e)

sample mean group 1 = 9.143

sample mean group 2 = 3.714

sample mean group 3 = 7

f)

H0: u1 = u2 = u3 // H1: Not H0

g)

MS between = 52.333

MS within = 0.794

h)

Fobt = 65.911

i)

df1 = 2, df2 = 18

alpha = .05

F critical = 3.55 (using F table)

alpha = .01

F-critical = 6.01 (using F table)

k)

Reject H0

l)

It appears that there is a significant difference in public endangerment driving between the three most common traffic violations