COMM5000 Milestone 2 - Report the mean of red wine quality

Milestone 2 Answer Sheet

COMM5000 - Milestone 2 - 

IMPORTANT: Remember to copy this Answer Sheet into the data file you have used also for M1.

Statistical Analysis Required for Milestone 2

Answer all the following questions and report your answers only in the grey cell next to each question.

Intro

0. Describe how the analysis required for Milestone 2 will help your development of a model to understand the effect of wine type on wine quality.

Question 1 - part a

1. Report the mean of red wine quality from your sample.

2. Report the mean of white wine quality from your sample.

3. Calculate the difference in mean wine quality.

4. In your opinion, do you think the difference in means is "Small" or "Large"?

Question 1 - part b

1. Report the mean alcohol content for red wine from your sample.

2. Report the mean alcohol content for white wine from your sample.

3. Calculate the difference in mean wine quality.

4. In your opinion, do you think the difference in means is "Small" or "Large"?

Question 2 - part a

1. Formulate the null hypothesis for the test of difference in mean wine quality.

2. Formulate the alternate hypothesis for the test of difference in mean wine quality.

3. Identify and explain whether this is a one-tail or two-tail test.

4. Calculate the test-statistic of this hypothesis test.

5. What is the result of the test's finding using the p-value method? Use a 5% level of significance.

6. What is the p-value associated with this test statistic?

7. What is the test's findings at the 5% level of significance? Answer with either "Reject the null hypothesis" or "Fail to reject the null hypothesis".

8. What is the test's findings at the 1% level of significance? Answer with either "Reject the null hypothesis" or "Fail to reject the null hypothesis".

9. Is this test likely to have suffered from a Type I or Type II error?

Question 2 - part b

1. Formulate the null hypothesis for the test of difference in mean alcohol content.

2. Formulate the alternate hypothesis for the test of difference in mean alcohol content.

3. Identify and explain whether this is a one-tail or two-tail test.

4. Calculate the test-statistic of this hypothesis test.

5. What is the result of the test's finding using the p-value method? Use a 5% level of significance.

6. What is the p-value associated with this test statistic?

7. What is the test's findings at the 5% level of significance? Answer with either "Reject the null hypothesis" or "Fail to reject the null hypothesis".

8. What is the test's findings at the 1% level of significance? Answer with either "Reject the null hypothesis" or "Fail to reject the null hypothesis".

9. Is this test likely to have suffered from a Type I or Type II error? In your answer include your reasoning.

 

Question 2 - part c

1. State the assumptions underpinning the null hypothesis and consider a test of equal means.

2. Explain the rationale of the test statistic.

Question 3

1.Formally state the conclusion of the tests using the p-value method for the test of difference in mean wine quality.

2. Formally state the conclusion of the tests using the p-value method for the test of difference in mean alcohol content.

3. In your opinion, what other hypothesis test is worth conducting in addition to the two tests above?