"Tiger Woods uses Titleist brand golf clubs" the salesperson says to me. He promises me that my game will improve if I buy the expensive Titleist clubs which are, after all, endorsed by Tiger. But I am a smart consumer, and rather than wasting money on expensive clubs, I first want to know if they work. So, I borrow the Titleist clubs and have 5 randomly selected golfers use them, recording their scores. I also have 6 other randomly selected golfers use my old clubs. Using the data below and the steps of hypothesis testing, test the salesperson's claim that the Titleist clubs will produce a lower score than my clubs (lower is better). Set a = .05. (Note that the scores and scores-squared have already been summed for you at the bottom. Titleist (X) 92 X² 8464 Old Clubs (Y) 104 y² 10816

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Author:Amos Gilat
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"Tiger Woods uses Titleist brand golf clubs" the salesperson says to me. He promises me that my
game will improve if I buy the expensive Titleist clubs which are, after all, endorsed by Tiger. But I am
a smart consumer, and rather than wasting money on expensive clubs, I first want to know if they
work. So, I borrow the Titleist clubs and have 5 randomly selected golfers use them, recording their
scores. I also have 6 other randomly selected golfers use my old clubs. Using the data below and the
steps of hypothesis testing, test the salesperson's claim that the Titleist clubs will produce a lower
score than my clubs (lower is better). Set a = .05. (Note that the scores and scores-squared have
already been summed for you at the bottom.
Titleist (X)
92
98
108
102
91
EX=491
X²
8464
9604
11664
10404
8281
2 X2 = 48417
Old Clubs (Y)
104
100
101
99
97
99
ΣΥ = 600
Y²
10816
10000
10201
9801
9409
9801
ΣΥ2 = 60028
Transcribed Image Text:"Tiger Woods uses Titleist brand golf clubs" the salesperson says to me. He promises me that my game will improve if I buy the expensive Titleist clubs which are, after all, endorsed by Tiger. But I am a smart consumer, and rather than wasting money on expensive clubs, I first want to know if they work. So, I borrow the Titleist clubs and have 5 randomly selected golfers use them, recording their scores. I also have 6 other randomly selected golfers use my old clubs. Using the data below and the steps of hypothesis testing, test the salesperson's claim that the Titleist clubs will produce a lower score than my clubs (lower is better). Set a = .05. (Note that the scores and scores-squared have already been summed for you at the bottom. Titleist (X) 92 98 108 102 91 EX=491 X² 8464 9604 11664 10404 8281 2 X2 = 48417 Old Clubs (Y) 104 100 101 99 97 99 ΣΥ = 600 Y² 10816 10000 10201 9801 9409 9801 ΣΥ2 = 60028
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