Researchers wanted to compare the GRE scores of the students who were trained in an academy and the students who didn't receive anytraining. One group of 80 students, who had the training, had a mean score of315.Another group of 120 students, who had no training, had a mean score of305.Assume the population standard deviations for the scores for the students who take the trainingand the students who don't take the training are25and 20, respectively. Find the lower bound of the 95% confidence interval for the difference in population scores between students who had the trainingand students who didn'thave the training. Let the students who had the training be the first sample and let the students who didn't have the training be the second sample. Assume that both the population distributions are normally distributed.Assume the samples are random and independent. Round your answer to two decimal places.

Confidence Level	CorrespondingzcValue
90%confidence	zc=1.645
95%confidence	zc=1.96
99%confidence	zc=2.576