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Mathematics, 06.05.2020 05:57 iziyahh902
The weights of gallon milk jugs off a filling machine have been normally distributed with a mean \mu _{0}= 380.05 and a standard deviation \sigma = 1.25 grams, respectively. Before deciding if the filling machine needs to be adjusted, a random sample of n= 16 jugs is selected and the sample mean is \overline{x} =381.30 grams. Conduct a hypothesis test at a= 0.05 to test if this mean has changed.
The null and alternative hypotheses should be
a. H_{0}: \mu =380.05
H_{a}: \mu \neq 380.05
b. H_{0}: \mu \leq 380.05
H_{a}: \mu > 380.05
c. H_{0}: \mu \geq 380.05
H_{a}: \mu < 380.05
d. H_{0}: \overline{x} = 380.05
H_{a}: \overline{x} \neq 380.05
e. none of the above
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