Worksheet 24: Normal Approximation for Experiments

Worksheet 24: Normal Approximation for Experiments#

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In section, you looked at differences in reaction times between subjects who were sleep deprived and subjects who were not.

Control

Sleep Deprivation

\(25.2\)

\(-10.7\)

\(14.5\)

\(4.5\)

\(-7.0\)

\(2.2\)

\(12.6\)

\(21.3\)

\(34.5\)

\(-14.7\)

\(45.6\)

\(-10.7\)

\(11.6\)

\(9.6\)

\(18.6\)

\(2.4\)

\(12.1\)

\(21.8\)

\(30.5\)

\(7.2\)

\(10.0\)

Mean

\(19.82\)

\(3.90\)

SD

\(14.72\)

\(12.17\)

Test the hypothesis of no difference between the two groups, using the normal distribution to approximate the \(P\)-value.