The executive director of a company is recruiting graduate trainees from two colleges. The performance index follows normal distribution. The variance of performance index of trainees from college (I) is 10 and variance for college (2) is 5. The manager feels that the mean performance index of trainees from college I is less than that of trainees from college Il. In order to test hypothesis, he has selected a sample of 55 trainees from college I and their mean performance index is found to be 9. Similarly, he has selected a sample of 64 trainees from college Il, and their mean performance index is found to be 8. Using six steps process of hypothesis testing, test manager's intuition at 5% significance level.