A sample of 60 chewable vitamin tablets have a sample mean of 275 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 exceeds 272 milligrams. State the appropriate null and alternate Hypotheses. A) $H _ { 0 } : \mu = 272 , H _ { 1 } : \mu 272$ B) $H _ { 0 } : \mu = 272 , H _ { 1 } : \mu \neq 272$ C) $H _ { 0 } : \mu 275$ D) $H _ { 0 } : \mu 275 , H _ { 1 } : \mu = 275$

Question

A sample of 60 chewable vitamin tablets have a sample mean of 275 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 exceeds 272 milligrams. State the appropriate null and alternate
Hypotheses.

A) $H _ { 0 } : \mu = 272 , H _ { 1 } : \mu > 272$
B) $H _ { 0 } : \mu = 272 , H _ { 1 } : \mu \neq 272$
C) $H _ { 0 } : \mu < 275 , H _ { 1 } : \mu > 275$
D) $H _ { 0 } : \mu > 275 , H _ { 1 } : \mu = 275$

Quizplus · Accepted Answer

The null hypothesis should state that the mean is equal to the hypothesized value (which is 272 in this case) and the alternative hypothesis should state that the mean is greater than the hypothesized value since we want to test if the mean mass of vitamin C per tablet exceeds 272 milligrams. Therefore, option A is the correct choice.

A Sample of 60 Chewable Vitamin Tablets Have a Sample H0:μ=272,H1:μ>272H _ { 0 } : \mu = 272 , H _ { 1 } : \mu > 272H0​:μ=272,H1​:μ>272

A Sample of 60 Chewable Vitamin Tablets Have a Sample $H _ { 0 } : \mu = 272 , H _ { 1 } : \mu > 272$