A sample of 75 chewable vitamin tablets have a sample mean of 251 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 256 milligrams. State the appropriate null and alternate hypotheses.
A) $H _ { 0 } : \mu = 256 , H _ { 1 } : \mu \neq 256$
B) $H _ { 0 } : \mu = 251 , H _ { 1 } : \mu \neq 251$
C) $H _ { 0 } : \mu \neq 256 , H _ { 1 } : \mu = 256$
D) $H _ { 0 } : \mu \neq 251 , H _ { 1 } : \mu = 251$

Question

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 the hypothesized value (256 milligrams). The alternative hypothesis ($H_1$) is what the test is trying to provide evidence for, in this case, that the mean is not equal to 256 milligrams, indicating a two-sided test.

A Sample of 75 Chewable Vitamin Tablets Have a Sample H0:μ=256,H1:μ≠256H _ { 0 } : \mu = 256 , H _ { 1 } : \mu \neq 256H0​:μ=256,H1​:μ=256

A Sample of 75 Chewable Vitamin Tablets Have a Sample $H _ { 0 } : \mu = 256 , H _ { 1 } : \mu \neq 256$