This dataset contains scores in the first and fourth rounds for a

 

This dataset contains scores in the first and fourth rounds for a sample of 20 golfers who competed in PGA tournaments in 2009.  A sports fan suspects that scores in the first round are lower due to less pressure.  You are to test whether this is true. 

 

1.  State the null and alternative hypotheses (take round 1 scores – round 4 scores).

 

2.  Is this a lower tail, upper tail or two-tailed test?

 

3.  Use Excel to carry out the test.  Use a= 0.05.What is the value of the test statistic?

 

4.  What is the p-value?

 

5.  What is your conclusion using a = 0.05? 

 

6.  State your conclusion in words a non-statistician could understand.