A LARGE SOFTWARE COMPANY GIVES JOB APPLICANTS A TEST OF PROGRAMMING ABILITY ...

     A LARGE   SOFTWARE COMPANY GIVES JOB APPLICANTS A TEST OF PROGRAMMING ABILITY AND THE   MEAN FOR THAT TEST HAS BEEN 160 IN THE PAST. TWENTY-FIVE JOB APPLICANTS ARE   RANDOMLY SELECTED FROM ONE LARGE UNIVERSITY AND THEY PRODUCE A MEAN SCORE AND   STANDARD DEVIATION OF 183 AND 12, RESPECTIVELY. USE A 0.05 LEVEL OF   SIGNIFICANCE TO TEST THE CLAIM THAT THIS SAMPLE COMES FROM A POPULATION WITH   A MEAN SCORE GREATER THAN 160.