Question

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 | 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 |

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
*μ*_{d} = mean score first round − mean score fourth
round.)

*H*_{0}:

*μ*_{d} ≠ 0

*H*_{a}:

*μ*_{d} = 0

*H*_{0}:

*μ*_{d} = 0

*H*_{a}:

*μ*_{d} ≤ 0

*H*_{0}:

*μ*_{d} ≤ 0

*H*_{a}:

*μ*_{d} > 0

*H*_{0}:

*μ*_{d} > 0

*H*_{a}:

*μ*_{d} ≤ 0

*H*_{0}:

*μ*_{d} = 0

*H*_{a}:

*μ*_{d} ≠ 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 *H*_{0}. 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 *H*_{0}. 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 *H*_{0}.
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
*H*_{0}. 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 first round scores was lower than the mean of the fourth round scores.The mean of the fourth round scores was lower than the mean of the first round scores.

Answer #1

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...

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...

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...

You may need to use the appropriate technology to answer this
question.
Consider the following data on price ($) and the overall score
for six stereo headphones tested by a certain magazine. The overall
score is based on sound quality and effectiveness of ambient noise
reduction. Scores range from 0 (lowest) to 100 (highest).
Brand
Price ($)
Score
A
180
76
B
150
71
C
95
61
D
70
58
E
70
42
F
35
28
(a)
The estimated regression...

You may need to use the appropriate technology to answer this
question.
Consider the following hypothesis test.
H0: μd ≤ 0
Ha: μd > 0
(a) The following data are from matched samples taken from two
populations. Compute the difference value for each element. (Use
Population 1 − Population 2.)
Element
Population (1)
Population (2)
Difference
1
21
18
?
2
28
27
?
3
18
15
?
4
20
18
?
5
26
25
?
(b) Compute d.
(c)...

You may need to use the appropriate technology to answer this
question.
Consider the following hypothesis test.
H0:
μd ≤ 0
Ha:
μd > 0
(a)
The following data are from matched samples taken from two
populations. Compute the difference value for each element. (Use
Population 1 − Population 2.)
Element
Population
Difference
1
2
1
21
19
2
28
28
3
18
17
4
20
18
5
26
26
(b)
Compute
d.
(c)
Compute the standard deviation
sd.
(d)...

You may need to use the appropriate technology to answer this
question.
Consider the following data on price ($) and the overall score
for six stereo headphones tested by a certain magazine. The overall
score is based on sound quality and effectiveness of ambient noise
reduction. Scores range from 0 (lowest) to 100 (highest).
Brand
Price ($)
Score
A
180
76
B
150
69
C
95
63
D
70
56
E
70
38
F
35
28
(a)
The estimated regression...

You may need to use the appropriate technology to answer this
question. A survey collected data on annual credit card charges in
seven different categories of expenditures: transportation,
groceries, dining out, household expenses, home furnishings,
apparel, and entertainment. Using data from a sample of 42 credit
card accounts, assume that each account was used to identify the
annual credit card charges for groceries (population 1) and the
annual credit card charges for dining out (population 2). Using the
difference data,...

You may need to use the appropriate technology to answer this
question.
According to a research center, 21% of all merchandise sold in a
particular country gets returned. A department store in a certain
city sampled 80 items sold in January and found that 28 of the
items were returned.
(a)
Construct a point estimate of the proportion of items returned
for the population of sales transactions at the store in the given
city.
(b)
Construct a 95% confidence interval...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 2 minutes ago

asked 4 minutes ago

asked 4 minutes ago

asked 38 minutes ago

asked 39 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago