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 1 year ago
Next > < Previous

Related Solutions

A researcher wants to determine whether there is a difference in the average age of elementary...
A researcher wants to determine whether there is a difference in the average age of elementary school, high school, and community college teachers. Teachers are randomly selected. Their ages are recorded below. Can you reject the claim that there is no difference in the average age of each group? Use 5% level of significance. Elementary Teachers High School Teachers CC Teachers 24 37 45 28 42 36 25 39 39 52 48 61 36 43 35 22 32 45 a)...
A study is being conducted to determine whether drivers at or over the age of 70...
A study is being conducted to determine whether drivers at or over the age of 70 have longer reaction times in a simple driving task than drivers aged less than 70. A Simple random sample of 50 drivers at or over age 70, and another Simple random sample of 60 drivers under age 70 is selected. Each driver’s reaction time to a specific driving activity was measured in a laboratory, and the reaction times in minutes were recorded. The sample...
You conduct a study to determine the impact that varying the amount of noise in an...
You conduct a study to determine the impact that varying the amount of noise in an office has on worker productivity (0 – 25). You obtain the following productivity scores: Low Noise Medium Noise Loud Noise 15 19 13 13 13 11 14 10 12 9 7 8 For each condition, determine the sample mean and the sample (unbiased) standard deviation. Report the means and standard deviations in a bar graph (include the whiskers on the bars). Write an interpretation...
In an obesity study, a researcher wishes to determine if age, average sleep duration, and depression...
In an obesity study, a researcher wishes to determine if age, average sleep duration, and depression score have any effect on a person’s weight. The researcher takes a random sample of 25 participants that have been diagnosed as obese and records their measurements. Using the data, create the regression output (not including the y-intercept) then answer the questions below. Note that all variables are quantitative. Let α = 0.05. Write out the estimated regression line. To receive full credit, you...
You conduct a study to determine the impact that noise volume in an office has on...
You conduct a study to determine the impact that noise volume in an office has on worker productivity (number of minutes worked in a half-hour). You obtain the following productivity scores Condition 1 (Loud noise): 14, 15, 19, 17, 14, 18, 15 Condition 2 (Soft noise): 16, 18, 21, 21, 20, 18, 21 A) Combine all data into a frequency distribution table with simple frequency, relative frequency, cumulative frequency, and percentile. B) What does the percentile of the score 17...
A study is performed in a small town to determine whether the average weekly grocery bill...
A study is performed in a small town to determine whether the average weekly grocery bill for a four-person family is significantly less than national average of $185. A simple random sample of 19 weekly grocery bills for four-person families is selected from the town. The data is shown to the right. They suspect from the sample data that the small town's average grocery bill is less than the national average. That is, they want to test the hypotheses: Ho:...
The average age of cars owned by residents of a small city is 6 years with...
The average age of cars owned by residents of a small city is 6 years with a standard deviation of 2.2 years.  A simple random sample of 400 cars is to be selected, and the sample mean age  of these cars is to be computed.  What is the probability that the average age  of the 400 cars is more than 6.1 years? Show all main steps of your calculation. (No points will be given to an answer of only a final number provided even...
If you wanted to conduct a case-control study to discover whether there was a relationship between...
If you wanted to conduct a case-control study to discover whether there was a relationship between Parkinson’s disease and having worked in a high stress occupation… A. How might you go about selecting the cases and the controls for this study? B. Assume that after you have selected the cases and the control you have a total of 1,000 cases and 2,000 controls. You find that among the cases 200 worked in a stressful occupation and among the controls 390...
Your boss wants you to conduct a sensitivity and scenario analysis to determine whether the following...
Your boss wants you to conduct a sensitivity and scenario analysis to determine whether the following project is a winner. You are entering an established market, and you know the market size will be 1,100,000 units. You are unsure of your exact market share, the price you will be able to charge, and your variable cost per unit, but have determined a range of possible values for each (in the table below). Your initial investment cost is $150 million, and...
Your boss wants you to conduct a sensitivity and scenario analysis to determine whether the following...
Your boss wants you to conduct a sensitivity and scenario analysis to determine whether the following project is a winner. You are entering an established market, and you know the market size will be 1,100,000 units. You are unsure of your exact market share, the price you will be able to charge, and your variable cost per unit, but have determined a range of possible values for each (in the table below). Your initial investment cost is $150 million, and...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT