In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data Were obtained: State the null and alternate hypotheses. A) $H _ { 0 } : \mu _ { d } = 0 , H _ { 1 } : \mu _ { d } = 0.018$ B) $H _ { 0 } : \mu _ { d } = 0 , H _ { 1 } : \mu _ { d } 0 , H _ { 1 } : \mu _ { d }

Question

In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data
Were obtained:  State the null and alternate hypotheses. 
A) $H _ { 0 } : \mu _ { d } = 0 , H _ { 1 } : \mu _ { d } = 0.018$ 
B) $H _ { 0 } : \mu _ { d } = 0 , H _ { 1 } : \mu _ { d } < 0$ 
C) $H _ { 0 } : \mu _ { d } > 0 , H _ { 1 } : \mu _ { d } < 0$ 
D) $H _ { 0 } : \mu _ { d } = 0 , H _ { 1 } : \mu _ { d } \neq 0$

Quizplus · Accepted Answer

The null hypothesis states that there is no systematic difference between the weights obtained with the two different mass balances, while the alternate hypothesis acknowledges the possibility of a difference. The presence of the inequality symbol in the alternate hypothesis suggests a two-tailed test, making choice D the best option.

In an Experiment to Determine Whether There Is a Systematic H0:μd=0,H1:μd=0.018H _ { 0 } : \mu _ { d } = 0 , H _ { 1 } : \mu _ { d } = 0.018H0​:μd​=0,H1​:μd​=0.018

In an Experiment to Determine Whether There Is a Systematic $H _ { 0 } : \mu _ { d } = 0 , H _ { 1 } : \mu _ { d } = 0.018$