Answer:
The correct option is (B).
Step-by-step explanation:
In this case we need to test whether the average body temperature of humans is 98.6 degrees Fahrenheit.
The hypothesis can be defined as follows:
<em>H₀</em>: The average body temperature of humans is 98.6 degrees Fahrenheit, i.e. <em>μ</em> = 98.6.
<em>Hₐ</em>: The average body temperature of humans is less than 98.6 degrees Fahrenheit, i.e. <em>μ</em> < 98.6.
A random sample of <em>n</em> = 60 people are selected and their body temperatures are collected.
The population standard deviation is known to be, <em>σ</em> = 0.62.
As the population standard deviation is known, we will use the <em>z</em>-test for single mean.
The <em>p</em>-value of the test is, <em>p</em>-value = 0.0001.
We reject a hypothesis if the p-value of a statistic is lower than the level of significance α.
Here the <em>p</em>-value is very low. So, the null hypothesis will be rejected at any significance level.
Thus, there is enough evidence to conclude that the average body temperature of humans is less than 98.6 degrees Fahrenheit.
Thus, the correct option is (B).
