Statistics

Answer all 4 questions – each question carries equal marks.

Each question is to be completed using SPSS and Excel.

Submission will be in the form of Word document only. When you have completed each test in Excel and SPSS, present the outputs of each test in the document in response to each question. Please do not use screenshots. SPSS and Excel files are not required to be uploaded with your document. Use an appendix if you have extra material to upload.

As this is an assignment rather than an in-class test, emphasis in grading will be basis on process, decision, conclusion, and a full explanation of your test. Simply providing an output from SPSS or Excel is insufficient.

For each of the following four sets of data, carry out the following tasks:

1. Specify and explain the Null and Alternate hypotheses (10%)

2. Unless otherwise indicated, decide on an appropriate value for α, and justify your decision (10%)

3. Carry out the appropriate statistical test using SPSS and Excel (20%)

4. Determine degrees of freedom and critical values (10%)

5. Make your decision, and explain fully how you reached this decision (50%)

Question 1

Using the data below, test the Null hypothesis that there is no difference in group means between the MPG rates of American cars versus the MPG rates of Japanese cars.

US Cars (MPG) Japanese Cars (MPG)

18 24

15 27

18 27

16 25

17 31

15 35

14 24

14 19

14 28

15 23

15 27

14 20

15 22

14 18

22 20

18 31

21 32

21 31

10 32

10 24

10 26

9 29

28 24

25 24

19 33

16

17

19

Question 2

Barry’s Tea Lyons Tea

9 4

3 7

1 6

6 8

5 7

7 7

8 8

3 6

10 7

3 8

5 9

2 8

9 7

6 3

2 6

5 7

8 6

1 5

6 5

3 6

Surveys conducted to determine if there is a difference in satisfaction ratings (on a scale of 1 to 10) in a tasting test for tea yielded the following results:

Test the hypothesis that there is no difference in taste between Barry’s Tea and Lyons Tea.

Question 3

The Noodle Company wants to know what thickness of noodle consumers find most pleasing to their palate (on a scale of 1 to 5, with 1 being the most pleasant). The results of a survey were as follows.

Thick Medium Thin

1 3 1

3 4 3

2 3 2

3 2 1

4 3 1

4 4 1

5 4 2

4 4 2

3 3 3

4 3 2

3 3 1

2 4 1

2 5 2

3 4 2

3 3 3

4 4 3

5 3 2

4 3 1

3 2 2

2 3 1

Test the hypothesis that there is no difference between each of the three types of Noodle.

Question 4

Using the following observed data, test the question of whether an equal number of Left Wing, Centre, or Right Wing voters participated in the most recent election.

Political Affiliation

Left Wing Centre Right Wing

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