A sample of 50 chewable vitamin tablets have a sample mean of 258 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 260 milligrams. State the appropriate null and alternate hypotheses. A) $H _ { 0 } : \mu 258$ B) $H _ { 0 } : \mu 258 , H _ { 1 } : \mu = 258$ C) $H _ { 0 } : \mu = 260 , H _ { 1 } : \mu 260$ D) $H _ { 0 } : \mu = 260 , H _ { 1 } : \mu \neq 260$

Question

A sample of 50 chewable vitamin tablets have a sample mean of 258 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 260 milligrams. State the appropriate null and alternate hypotheses.
A) $H _ { 0 } : \mu < 258 , H _ { 1 } : \mu > 258$
B) $H _ { 0 } : \mu > 258 , H _ { 1 } : \mu = 258$
C) $H _ { 0 } : \mu = 260 , H _ { 1 } : \mu > 260$
D) $H _ { 0 } : \mu = 260 , H _ { 1 } : \mu \neq 260$

Quizplus · Accepted Answer

The correct null hypothesis ($H_0$) should state the condition of no effect or no difference, which in this case is that the mean mass of vitamin C per tablet is 260 milligrams. The alternate hypothesis ($H_1$) should represent the research hypothesis that is being tested, which is that the mean mass of vitamin C per tablet exceeds 260 milligrams.

A Sample of 50 Chewable Vitamin Tablets Have a Sample H0:μ<258,H1:μ>258H _ { 0 } : \mu < 258 , H _ { 1 } : \mu > 258H0​:μ<258,H1​:μ>258

A Sample of 50 Chewable Vitamin Tablets Have a Sample $H _ { 0 } : \mu < 258 , H _ { 1 } : \mu > 258$