Part 1) GETTING THE SCOOP (6 points)

News of your analytical prowess has spread throughout the area.Naturally, when the coaching staff of your teen's high school lacrosse team has a statistical question, they contact the best, you.The coaching staff wants to know if the average difference between the home team and their opponent is more than +2 points.Use the data below from 35 randomly chosen games to answer their question using = 0.01.The home team's scores are listed first.

12 - 6

7 - 5

10 - 4

5 - 6

9 - 8

7 - 5

7 - 2

8 - 6

8 - 2

8 - 4

7 - 1

8 - 5

6 - 4

13 - 5

10 - 4

5 - 8

9 - 6

6 - 5

5 - 4

10 - 6

7 - 10

14 - 10

7 - 2

6 - 5

6 - 5

7 - 6

8 - 7

8 - 3

9 - 8

8 - 6

10 - 4

10 - 9

6 - 7

8 - 1

8 - 5

1.What is the name of the type of hypothesis test required here?

Is this a left-tailed, right-tailed, or two-tailed test?

This is a two tailed test

2.State AND verify all assumptions required for this test.

The sample size is greater than > 30

3.State the null and alternate hypotheses for this test: (use correct symbols and format!)

Null hypothesis Ho: u1 = 2

Alternate hypothesis Ha: u1 >2

Run the correct hypothesis1.test and provide the information below.Give the correct symbols AND numeric value of each of the following (round answers to 3 decimal places).

Test Statistic

Critical value [HINT: this is NOT ]

Degrees of Freedom

p-value

1.State your statistical decision (and justify it!) and interpret your decision within the context of the problem. What is your conclusion?