Question

In: Statistics and Probability

You are planning to conduct a study to determine whether the average age of the residents...

You are planning to conduct a study to determine whether the average age of the residents of Ashland, OR is at least 55.6 years. What is the most appropriate test for conducting the test?

One population mean test

Two population means test

One-way ANOVA

Two-way ANOVA with Replication

Chi-square Goodness of Fit Test

Chi-square Test for Independence

Regression and Correlation Analysis

A market research firm is testing consumer reaction to a new shampoo among age groups in four regions. There are five consumers in each test panel. Each consumer completes a 10-question product satisfaction instrument with a 5-point scale (five is the highest rating) and the average score is recorded. Generate the appropriate outputs and perform the appropriate statistical tests to answer the questions below.

17.Which of the 4 age groups shows the lowest average satisfaction rating for the shampoo?

a.Youth

b.College

c.Adult

d.Senior

e.None – all show the same average satisfaction level per ANOVA test

18.Which of the 4 age groups gives the highest average satisfaction rating for the shampoo?

a.Youth

b.College

c.Adult

d.Senior

e.None – all show the same average satisfaction level per ANOVA test

19.At significance level 0.05, is there a difference in the satisfaction rating of the shampoo by the consumers of the different regions?

a)Yes                   b) No

20.hich of the 4 regions shows the lowest average satisfaction rating for the shampoo?

a Northeast

b Southeast

c Midwest

d West

e None – all show the same average satisfaction level per ANOVA test

21.Which of the 4 regions shows the highest average satisfaction rating for the shampoo?

a Northeast

b Southeast

c Midwest

d West

e None – all show the same average satisfaction level per ANOVA test

Northeast

Southeast

Midwest

West

Youth

3.9

4.0

3.7

4.1

4.3

3.9

4.2

4.4

4.1

4.0

3.6

3.9

3.9

3.7

3.3

3.9

4.4

4.0

4.1

3.9

College

4.0

4.0

3.7

3.8

3.8

3.8

3.7

3.7

3.6

3.7

3.6

4.1

3.8

3.9

4.0

3.8

3.8

3.6

3.6

4.1

Adult

3.2

3.8

3.7

3.4

3.4

3.5

3.3

3.4

3.5

3.4

3.5

3.8

3.8

4.0

3.7

3.8

3.6

3.4

3.7

3.1

Senior

3.4

2.9

3.6

3.7

3.5

3.6

3.4

3.6

3.6

3.4

3.3

3.3

3.1

3.1

3.1

3.4

3.2

3.5

3.3

3.4

Solutions

Expert Solution

Result:

You are planning to conduct a study to determine whether the average age of the residents of Ashland, OR is at least 55.6 years. What is the most appropriate test for conducting the test?

Answer: One population mean test

Two population means test

One-way ANOVA

Two-way ANOVA with Replication

Chi-square Goodness of Fit Test

Chi-square Test for Independence

Regression and Correlation Analysis

A market research firm is testing consumer reaction to a new shampoo among age groups in four regions. There are five consumers in each test panel. Each consumer completes a 10-question product satisfaction instrument with a 5-point scale (five is the highest rating) and the average score is recorded. Generate the appropriate outputs and perform the appropriate statistical tests to answer the questions below.

17.Which of the 4 age groups shows the lowest average satisfaction rating for the shampoo?

a.Youth

b.College

c.Adult

Answer: d.Senior

e.None – all show the same average satisfaction level per ANOVA test

18.Which of the 4 age groups gives the highest average satisfaction rating for the shampoo?

Answer: a.Youth

b.College

c.Adult

d.Senior

e.None – all show the same average satisfaction level per ANOVA test

19.At significance level 0.05, is there a difference in the satisfaction rating of the shampoo by the consumers of the different regions?

a)Yes                  Answer: b) No

20.hich of the 4 regions shows the lowest average satisfaction rating for the shampoo?

a Northeast

b Southeast

c Midwest

d West

Answer: e None – all show the same average satisfaction level per ANOVA test

21.Which of the 4 regions shows the highest average satisfaction rating for the shampoo?

a Northeast

b Southeast

c Midwest

d West

Answer: e None – all show the same average satisfaction level per ANOVA test

Two factor ANOVA

Factor 2 region

Means:

Northeast

Southeast

Midwest

West

Youth

4.00

4.12

3.68

4.06

3.97

Factor 1 age

College

3.86

3.70

3.88

3.78

3.81

Adult

3.50

3.42

3.76

3.52

3.55

Senior

3.42

3.52

3.18

3.36

3.37

3.70

3.69

3.63

3.68

3.67

5

replications per cell

ANOVA table

Source

SS

   df

MS

F

   p-value

Factor 1 age

4.193

3

1.3975

36.96

0.0000

Factor 2 region

0.062

3

0.0208

0.55

.6493

Interaction

1.245

9

0.1383

3.66

.0010

Error

2.420

64

0.0378

Total

7.920

79

orchestra answered 2 years ago
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