A community psychologist selects a sample of 16 local police officers to test wh

Question

A community psychologist selects a sample of 16 local police officers to test whether their physical endurance is better than the median score of 72. She measures their physical endurance on a 100-point physical endurance rating scale. Performance Scores 54 95 63 88 83 93 86 85 78 73 82 94 64 70 76 84 Based on the data given above, compute the one-sample sign test at a 0.05 level of significance. x = State whether to retain or reject the null hypothesis. Retain the null hypothesis. Reject the null hypothesis.

Explanation / Answer

H0: µ > 75

H1: µ 75

x-bar = 79.25; = 11.90

Standard Error (SE) = 11.9 / 16 = 2.975

t = (79.25 - 75) / 2.975

= 1.4285

P(T 1.42) = 0.9132

P(T > 1.42) = 1 - 0.9132 = 0.0868

p-value > 0.05. Hence we cannot reject the null hypothesis.

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