Question

The following data represent the battery life times manufactured by two different companies

A	B
109	134
92	92
102	87
86	114
92	81
	165
	97

We want to prove that the average duration of the batteries manufactured by company A is less than those manufactured by company B at a level of significance of 0.01 in the two ways described below:

a) Calculating the value of the test statistic and comparing it with the critical value for the level of significance given.

b) Determining the corresponding p-value for the calculated test statistic and compare the p-value with the level of significance.

c) What happens if the level of significance is changed to 0.1?

Answer 1