Express the alternative hypothesis in symbolic form. An automobile technician claims that the mean amount of time (in hours) per domestic car repair is more than that of foreign cars. Assume that two samples are Independent. Let the domestic car repair times be the first population and the foreign car repair times be the Second population. A) $H _ { 1 } : \mu _ { 1 } \mu _ { 2 }$ B) $H _ { 1 } : \mu _ { 1 }

Question

Express the alternative hypothesis in symbolic form. An automobile technician claims that the mean amount of time (in hours) per domestic car repair is more than that of foreign cars. Assume that two samples are Independent. Let the domestic car repair times be the first population and the foreign car repair times be the Second population. 
A) $H _ { 1 } : \mu _ { 1 } > \mu _ { 2 }$
B) $H _ { 1 } : \mu _ { 1 } < \mu _ { 2 }$
C) $H _ { 1 } : \mu _ { 1 } \neq \mu _ { 2 }$
D) $H _ { 1 } : \mu _ { 1 } = \mu _ { 2 }$

Quizplus · Accepted Answer

The null hypothesis is that the mean time of domestic car repairs is the same as foreign car repairs, so the alternative hypothesis must state that the mean time of domestic car repairs is either greater or less than the mean time of foreign car repairs. Only option A states that the mean time of domestic car repairs is greater than the mean time of foreign car repairs, making it the best choice.

Express the Alternative Hypothesis in Symbolic Form H1:μ1>μ2H _ { 1 } : \mu _ { 1 } > \mu _ { 2 }H1​:μ1​>μ2​

Express the Alternative Hypothesis in Symbolic Form $H _ { 1 } : \mu _ { 1 } > \mu _ { 2 }$