A golf instructor is interested in determining if her new technique for improvin
ID: 2949413 • Letter: A
Question
A golf instructor is interested in determining if her new technique for improving players’ golf scores is effective. She takes four new students. She records their 18-hole scores before learning the technique and then after having taken her class. She conducts a hypothesis test using a 5% significance level. Use and show all four steps of the hypothesis test.
Player 1
Player 2
Player 3
Player 4
Mean score before class
83
78
93
87
Mean score after class
80
80
86
86
Player 1
Player 2
Player 3
Player 4
Mean score before class
83
78
93
87
Mean score after class
80
80
86
86
Explanation / Answer
Hypothesis:
H0 : mud = 0
Ha : mud > 0
test statistics:
Before after dbar
83 80 3
78 80 -2
93 86 7
87 86 1
dbar = ?(before) - ?(after)
= 85.25 - 83
= 2.25
s(dbar) = 6.3443 - 3.4641
= 3.7749
SE = s(dbar)/sqrt(n)
= 3.7749/sqrt(4) = 1.8875
Test Statisitcs,
t = dbar/SE
= 2.25/1.8875
= 1.1921
p value = .1595
Do not reject the null hypothesis
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