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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