Question

A welding training company surveyed 9 people that hadn't completed their welding course, and 13 who had completed their welding course in order to compare the salary of a higher trained welder in the work force. Their monthly incomes are as follows:

Without course: 2840, 2690, 2900, 3504, 3250, 2990, 2779, 3050, 2887

With course: 3304, 3400, 3680, 2813, 3107, 2588, 3213, 2940, 3040, 3580, 3390, 3105, 3723

(A) For both groups, calculate the sample mean and variance.

(B) Can we conclude that welders without a higher degree of training are paid the same as welders with a higher degree of training? Use appropriate testing to justify your answer.

*Note: Maybe T test for part B?

Answer 1

Let denotes the average salary of welders without a higher degree of training and with a higher degree of training respectively.

a) and b)

There is sufficient evidence to support the claim that welders without a higher degree of training are paid the same as welders with a higher degree of training.