Statistics Question #2

2. Do professional golfers play better in their final round? The following table presents the first and fourth (final) round tres for randomly selected golfers at professional tournaments. Round + Golfer -> 2 3 4 5 6 7 8 9 First 73 68 73 71 71 72 68 68 74 Fourth 66 70 71 71 65 71 71 71 71 Test the claim at the o = 0.05 level of significance that the mean final round score is lower than the mean first round score. (a) (1) State the null (H.) and alternate (H,) hypotheses. (b) (1) Give the P-value and the decision reached about the null hypothesis based on the p-value. (c) (3) Summarize the final conclusion in the context of the original claim. (d) (3) Construct and interpret a 98% confidence interval (