Question

# Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed...

Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in the following table.

Suppose you would like to determine if the mean score for the first round of a golf tournament event is significantly different than the mean score for the fourth and final round.

layer First
Round
Final
Round
Golfer 1 70 72
Golfer 2 71 72
Golfer 3 70 75
Golfer 4 72 71
Golfer 5 70 69
Golfer 6 67 67
Golfer 7 71 67
Golfer 8 68 74
Golfer 9 67 73
Golfer 10 70

69

Player First
Round
Final
Round
Golfer 11 72 72
Golfer 12 72 70
Golfer 13 70 73
Golfer 14 70 75
Golfer 15 68 70
Golfer 16 68 66
Golfer 17 71 70
Golfer 18 70 68
Golfer 19 69 68
Golfer 20 67 71

Does the pressure of playing in the final round cause scores to go up? Or does the increased player concentration cause scores to come down?

(a) Use α = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores.

State the null and alternative hypotheses. (Use μd = mean score first round − mean score fourth round.)

*H0: μd ≠ 0 Ha: μd = 0

*H0: μd = 0 Ha: μd ≠ 0

*H0: μd > 0 Ha: μd ≤ 0

*H0: μd = 0 Ha: μd ≤ 0

*H0: μd ≤ 0 Ha: μd > 0

Calculate the value of the test statistic. (Round your answer to three decimal places.) ___

Calculate the p-value. (Round your answer to four decimal places.) p-value = ___

-Do not Reject H0. There is sufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round.

-Do not reject H0. There is insufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round.

-Reject H0. There is sufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round.

-Reject H0. There is insufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round. (b) What is the point estimate of the difference between the two population means? (Use mean score first round − mean score fourth round.) ___

For which round is the population mean score lower?

-The mean of the fourth round scores was lower than the mean of the first round scores.

-The mean of the first round scores was lower than the mean of the fourth round scores.

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