MATH 321 Lecture Notes - Lecture 53: Null Hypothesis, Test Statistic, Standard Deviation
14 Jul 2019
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Parallel example 1: testing a hypothesis about a population mean, large sample. Assume the resting metabolic rate (rmr) of healthy males in complete silence is 5710 kj/day. Researchers measured the rmr of 45 healthy males who were listening to calm classical music and found their mean rmr to be 5708. 07 with a standard deviation of 992. 05. We assume that the rmr of healthy males is 5710 kj/day. This is a two-tailed test since we are interested in determining whether the rmr differs from 5710 kj/day. Since the sample size is large, we follow the steps for testing hypotheses about a population mean for large samples. 1: = 5710 step 2: the level of significance is = 0. 05. Since this is a two-tailed test, we determine the critical values at the = 0. 05 level of significance with n 1 = 45 1 = 44 degrees of freedom to be approximately t.
