Question

In: Statistics and Probability

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.

Player 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 75
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 77
Golfer 15 68 70
Golfer 16 68 66
Golfer 17 71 70
Golfer 18 70 68
Golfer 19 69 68
Golfer 20 67 71

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. 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 =

State your conclusion.

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.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.

(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.    

Please show your work

Solutions

Expert Solution

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.

b) The point estimate of the difference between the two population means is

Since first round mean score is lower.

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


Related Solutions

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. Player First Round Final Round Golfer 1 70 72 Golfer 2 71 72 Golfer 3 70 74 Golfer 4 72 71 Golfer 5 70 69 Golfer 6 67 67 Golfer 7 71 67 Golfer 8 68 75 Golfer 9 67 72 Golfer 10 70 69 Player First Round Final Round Golfer 11 72 72 Golfer...
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. Player 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 75 Golfer 9 67 73 Golfer 10 70 69 Player First Round Final Round Golfer 11 72 72 Golfer...
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. Player First Round Final Round Golfer 1 70 72 Golfer 2 71 72 Golfer 3 70 74 Golfer 4 72 71 Golfer 5 70 69 Golfer 6 67 67 Golfer 7 71 67 Golfer 8 68 72 Golfer 9 67 71 Golfer 10 70 69 Player First Round Final Round Golfer 11 72 72 Golfer...
Scores in the first and final rounds for a sample of 20 golfers who competed in...
Scores in the first and final rounds for a sample of 20 golfers who competed in tournaments are contained in the Excel Online file below. Construct a spreadsheet to answer the following questions. Player First Round Final Round Michael Letzig 74 65 Scott Verplank 68 67 D.A. Points 65 72 Jerry Kelly 68 65 Soren Hansen 72 70 D.J. Trahan 72 75 Bubba Watson 67 77 Reteif Goosen 75 69 Jeff Klauk 65 74 Kenny Perry 71 72 Aron Price...
Scores in the first and final rounds for a sample of 20 golfers who competed in...
Scores in the first and final rounds for a sample of 20 golfers who competed in tournaments are contained in the Excel Online file below. Construct a spreadsheet to answer the following questions. A B C D 1 Player First Round Final Round Differences 2 Michael Letzig 74 76 -2 3 Scott Verplank 76 66 10 4 D.A. Points 74 67 7 5 Jerry Kelly 71 72 -1 6 Soren Hansen 66 74 -8 7 D.J. Trahan 76 74 2...
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.
  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. Player FirstRound FinalRound Golfer 1 70 72 Golfer 2 71 72 Golfer 3 70 73 Golfer 4 72 71 Golfer 5 70 69 Golfer 6 67 67 Golfer 7 71 68 Golfer 8 68 74 Golfer 9 67 73 Golfer 10 70 69 Player FirstRound FinalRound Golfer 11 72 72 Golfer 12 72 70...
explain how the number of bargaining rounds and who makes the first offer affect the final...
explain how the number of bargaining rounds and who makes the first offer affect the final outcome.
Below are the final exam scores of 20 Introductory Statistics students.
Below are the final exam scores of 20 Introductory Statistics students. Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Score 71 76 77 77 79 80 80 80 81 81 84 84 85 86 86 86 86 87 89 93 The mean exam score is 82.4 with a standard deviation of 5.14. 1. How many of the exam scores in the sample are within one standard deviation...
A sample of final exam scores is normally distributed with a mean equal to 29 and...
A sample of final exam scores is normally distributed with a mean equal to 29 and a variance equal to 25. Part (a) What percentage of scores are between 24 and 34? (Round your answer to two decimal places.) Part (b) What raw score is the cutoff for the top 10% of scores? (Round your answer to one decimal place.) Part (c) What is the proportion below 23? (Round your answer to four decimal places.) Part (d) What is the...
A sample of final exam scores is normally distributed with a mean equal to 25 and...
A sample of final exam scores is normally distributed with a mean equal to 25 and a variance equal to 16. Part (a) What percentage of scares are between 21 and 29? (Round your answer to two decimal places) Part (b) What raw score is the cutiff for the top 10% of scores? (Round your answer to one decimal place) Part (c) What is the proportion below 20? (Round your answer to four decimal places) Part (d) What is the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT