A sample of 85 chewable vitamin tablets have a sample mean of 272 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the
Evidence is that the mean mass of vitamin C per tablet differs from 270 milligrams. State
The appropriate null and alternate hypotheses.
A) $H _ { 0 } : \mu = 270 , H _ { 1 } : \mu \neq 270$
B) $H _ { 0 } : \mu \neq 270 , H _ { 1 } : \mu = 270$
C) $H _ { 0 } : \mu = 272 , H _ { 1 } : \mu \neq 272$
D) $H _ { 0 } : \mu \neq 272 , H _ { 1 } : \mu = 272$

Question

A sample of 85 chewable vitamin tablets have a sample mean of 272 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the
Evidence is that the mean mass of vitamin C per tablet differs from 270 milligrams. State
The appropriate null and alternate hypotheses. 
A) $H _ { 0 } : \mu = 270 , H _ { 1 } : \mu \neq 270$
B) $H _ { 0 } : \mu \neq 270 , H _ { 1 } : \mu = 270$
C) $H _ { 0 } : \mu = 272 , H _ { 1 } : \mu \neq 272$
D) $H _ { 0 } : \mu \neq 272 , H _ { 1 } : \mu = 272$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) always states that there is no effect or no difference, so it should state the mean is equal to 270 milligrams ($\mu = 270$). The alternative hypothesis ($H_1$) is what the test is trying to establish, in this case, that the mean is not equal to 270 milligrams ($\mu \neq 270$), indicating a two-sided test.

A Sample of 85 Chewable Vitamin Tablets Have a Sample H0:μ=270,H1:μ≠270H _ { 0 } : \mu = 270 , H _ { 1 } : \mu \neq 270H0​:μ=270,H1​:μ=270

A Sample of 85 Chewable Vitamin Tablets Have a Sample $H _ { 0 } : \mu = 270 , H _ { 1 } : \mu \neq 270$