A sample of 100 body temperatures has a mean of 98.6 oF. Assume that population standard deviation σ is known to be 0.5 oF. Use a 0.05 significance level to test the claim that the mean body temperature of the population is equal to 98.5 oF, as is commonly believed. What is the value of test statistic for this testing?
The provided sample mean is = 98.6 and the known population standard deviation is σ = 0.5, and the sample size is n = 100.
The following null and alternative hypotheses need to be tested:
This corresponds to a two-tail test, for which a z-test for one mean should be used.
As it has known population standard deviation.
Test statistic is,
Hence, test statistic is 2.0
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