Question

A sample of 100 body temperatures has a mean of 98.6
^{o}F. Assume that population standard deviation σ is known
to be 0.5 ^{o}F. Use a 0.05 significance level to test the
claim that the mean body temperature of the population is equal to
98.5 ^{o}F, 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

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b)
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