Question

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 = ___

*State your conclusion.

-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.

Answer #1

You may need to use the appropriate technology to answer this
question.
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
72
Golfer 10...

Q1. Scores in the first and fourth (final) rounds for a sample
of 20 golfers who competed in a Golf Competition held on Guam are
shown in the following table. Suppose you would like to determine
if the mean score for the first round of the 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...

Scores in the first and final rounds for a sample of 20 golfers
who competed in tournaments are contained in the table below.
Answer the following questions.
Player
First Round
Final Round
Michael Letzig
70
66
Scott Verplank
67
77
D.A. Points
71
65
Jerry Kelly
73
72
Soren Hansen
73
67
D.J. Trahan
77
69
Bubba Watson
77
72
Reteif Goosen
67
68
Jeff Klauk
66
65
Kenny Perry
76
68
Aron Price
68
66
Charles Howell
72
69...

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
73
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...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom d.f. not in the
Student's t table, use the closest d.f. that is smaller. In some
situations, this choice of d.f. may increase the P-value by a small
amount and therefore produce a slightly more "conservative"
answer.
Do professional golfers play better in their last round? Let row
B represent the score in the fourth (and final) round, and let row
A represent...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
Do professional golfers play better in their last round? Let row
B represent the score in the fourth (and final) round, and
let row A represent...

The U.S. Open Golf Tournament was played at Congressional
Country Club, Bethesda, Maryland, with prizes ranging from $465,000
for first place to $5000. Par for the course is 70. The tournament
consists of four rounds played on different days. The scores for
each round of the 32 players who placed in the money (more than
$17,000) are given. The scores for the first round were as
follows.
71
65
67
73
74
73
71
71
74
73
71
70
75...

A standardized exam consists of three parts: math, writing, and
critical reading. Sample data showing the math and writing scores
for a sample of 12 students who took the exam follow.
Student
Math
Writing
1
540
468
2
432
374
3
528
463
4
574
612
5
448
420
6
502
526
7
480
430
8
499
459
9
610
615
10
572
541
11
390
335
12
593
613
(a)
Use a 0.05 level of significance and test for...

A golf club manufacturer claims that golfers can lower their
scores by using the manufacturer's newly designed golf clubs. Eight
golfers are randomly selected and each is asked to give his or her
most recent score. After using the new clubs for one month, the
golfers are asked again to give their most recent score. The scores
for each golfer are given in the table below. Is there enough
evidence to support the manufacturer's claim?
Let d=(golf score after using...

A golf club manufacturer claims that golfers can lower their
scores by using the manufacturer's newly designed golf clubs. Eight
golfers are randomly selected and each is asked to give his or her
most recent score. After using the new clubs for one month, the
golfers are asked again to give their most recent score. The scores
for each golfer are given in the table below. Is there enough
evidence to support the manufacturer's claim?
Let d=(golf score after using...

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