An electrical engineer wants to compare the resistance of four types of wire made from different materials.Five wires of equal lengths and cross sectional areas are prepared for each of the four wire types.Each section of wire is randomly tested by sending a current through the wire and measuring the resistance.
A) the alternative that all the wire type mean resistances are equal
B) the alternative that not all the wire size mean resistances are equal
C) the alternative that wire type and wire size mean resistances are equal
D) the alternative that all the wire size mean resistances are equal
E) the alternative that not all the wire type mean resistances are equal

Question

An electrical engineer wants to compare the resistance of four types of wire made from different materials.Five wires of equal lengths and cross sectional areas are prepared for each of the four wire types.Each section of wire is randomly tested by sending a current through the wire and measuring the resistance. 
A) the alternative that all the wire type mean resistances are equal 
B) the alternative that not all the wire size mean resistances are equal 
C) the alternative that wire type and wire size mean resistances are equal 
D) the alternative that all the wire size mean resistances are equal 
E) the alternative that not all the wire type mean resistances are equal

Quizplus · Accepted Answer

The null hypothesis in this situation is that all wire type mean resistances are equal. The alternative hypothesis is that not all the wire type mean resistances are equal, which is option E. This is because the engineer wants to compare the resistance of four types of wire made from different materials. Therefore, we need to test whether there is a significant difference between the mean resistance of each wire type. Option A is not correct because it assumes all wire type mean resistances are equal. Option B is not correct because it assumes that there is a significant difference between the mean resistance of each wire size. Option C is not correct because it assumes that both the wire type and wire size mean resistances are equal. Option D is not correct because it assumes that all wire size mean resistances are equal, which is not relevant to the research question.

An Electrical Engineer Wants to Compare the Resistance of Four