Question

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?

		2.0
		–2.0
		1.0
		3.0

Answer 1

Solution:

Given:

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

Done