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Answer :
We are asked to test if the population mean body temperature is different from [tex]$98.6^\circ F$[/tex]. This is a two-tailed test where the null hypothesis states that the mean equals [tex]$98.6^\circ F$[/tex], while the alternative hypothesis states that the mean is not equal to [tex]$98.6^\circ F$[/tex].
The hypotheses are therefore formulated as follows:
[tex]$$
H_0: \mu = 98.6 \quad \text{(The mean body temperature is } 98.6^\circ F\text{)}
$$[/tex]
[tex]$$
H_a: \mu \neq 98.6 \quad \text{(The mean body temperature is not } 98.6^\circ F\text{)}
$$[/tex]
Given the multiple choice options, the correct answer is the one which presents the null hypothesis as [tex]$\mu=98.6$[/tex] and the alternative as [tex]$\mu\neq98.6$[/tex]. This corresponds to option F.
The hypotheses are therefore formulated as follows:
[tex]$$
H_0: \mu = 98.6 \quad \text{(The mean body temperature is } 98.6^\circ F\text{)}
$$[/tex]
[tex]$$
H_a: \mu \neq 98.6 \quad \text{(The mean body temperature is not } 98.6^\circ F\text{)}
$$[/tex]
Given the multiple choice options, the correct answer is the one which presents the null hypothesis as [tex]$\mu=98.6$[/tex] and the alternative as [tex]$\mu\neq98.6$[/tex]. This corresponds to option F.
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