Question
A random sample of tenth-grade boys resulted in the following 20 observed weights. 142 134 98...
A random sample of tenth-grade boys resulted in the
following 20 observed weights.
142 134 98 119 131
103 154 122 93 137
86 119 161 144 158
165 81 117 128 103
Test the hypothesis that the upper quartile is at least 150.
Homework Answers
Answer #1
NULL HYPOTHESIS H0:
ALTERNATIVE HYPOTHESIS Ha: 
A Upper tailed test is applied. Here n = 20, p ∗ = .75 and T1 = 4. Now the approximation of t1 is t1 = (20)(.75) + (−1.645)*sqrt((20)(.75)(.25)) = 15-3.195= 11.805
We reject H0 : the upper quartile is at least 150 since T1 < t1.
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