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: mu1< mu2
B. H1: mu1 = mu2
C. H: mu1>mu2
D. H: mu not= mu2

Answer 1

A. H: mu1< mu2

Explanation:

Given that :

Mean amount of time per domestic cars = mu1

Mean amount of time per foreign cars = mu2

Automobile technicians claim :

The mean amount of time (in hours) per domestic car repair is more than that of foreign cars. This will be the Null hypothesis.

Null hypothesis : mu1 > mu2

The alternative hypothesis will negate the Null hypothesis and will hence be the opposite. This can this be expressed as :

Alternative hypothesis : mu1 < mu2