Considering the situation described, the scientist's null and alternative hypothesis are described by:
Null hypothesis [tex]H_0: \mu = 0[/tex]; Alternative hypothesis [tex]H_1: \mu \neq 0[/tex].
At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by [tex]\mu[/tex] is of 0, hence:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, hence:
[tex]H_1: \mu \neq 0[/tex]
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