A sample of 60 chewable vitamin tablets have a sample mean of 227 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 230 milligrams. State the Appropriate null and alternate hypotheses. A) $H _ { 0 } : \mu 227$ B) $H _ { 0 } : \mu = 230 , H _ { 1 } : \mu 230$ C) $H _ { 0 } : \mu 227 , H _ { 1 } : \mu = 227$ D) $H _ { 0 } : \mu = 230 , H _ { 1 } : \mu \neq 230$

Question

A sample of 60 chewable vitamin tablets have a sample mean of 227 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 230 milligrams. State the
Appropriate null and alternate hypotheses. 
A) $H _ { 0 } : \mu < 227 , H _ { 1 } : \mu > 227$
B) $H _ { 0 } : \mu = 230 , H _ { 1 } : \mu > 230$
C) $H _ { 0 } : \mu > 227 , H _ { 1 } : \mu = 227$
D) $H _ { 0 } : \mu = 230 , H _ { 1 } : \mu \neq 230$

Quizplus · Accepted Answer

The null hypothesis always states that there is no effect or no difference, and it is usually a statement of equality. The alternate hypothesis is what the researchers aim to support, indicating a specific direction or difference. In this case, since the goal is to determine if the mean mass of vitamin C per tablet exceeds 230 milligrams, the null hypothesis should state the mean is equal to 230 milligrams ($H_0: \mu = 230$), and the alternate hypothesis should state the mean is greater than 230 milligrams ($H_1: \mu > 230$).

A Sample of 60 Chewable Vitamin Tablets Have a Sample H0:μ<227,H1:μ>227H _ { 0 } : \mu < 227 , H _ { 1 } : \mu > 227H0​:μ<227,H1​:μ>227

A Sample of 60 Chewable Vitamin Tablets Have a Sample $H _ { 0 } : \mu < 227 , H _ { 1 } : \mu > 227$