Question

The manager of High Point Sofa and Chair, a large furniture manufacturer located in North Carolina, is studying the job performance ratings of a sample of 15 electrical repairmen employed by the company. An aptitude test is required by the human resources department to become an electrical repairman. The manager was able to get the score for each repairman in the sample. In addition, he determined which of the repairmen were union members (code = 1) and which were not (code = 0). The sample information is reported below.

Worker	Job Performance Score		Aptitude Test Score		Union Membership
Abbott	58		5		0
Anderson	53		4		0
Bender	33		10		0
Bush	97		10		0
Center	36		2		0
Coombs	83		7		0
Eckstine	67		6		0
Gloss	84		9		0
Herd	98		9		1
Householder	45		2		1
Iori	97		8		1
Lindstrom	90		6		1
Mason	96		7		1
Pierse	66		3		1
Rohde	82		6		1

1. c-1. To test the significance of union membership on job performance, H₀: β₂ = 0, state the decision rule using a 0.05 level of significance. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

Answer 1

NNow in this case X.1 is job performance and X.2 & X.3 is aptitude test score and union performance now

we see that X.3 is significance at 5% level of significance .it example solve with R software