Two catalysts in a batch chemical process, are being compared for their effect on the output of the process reaction. a sample of 12 batches was prepared using catalyst 1, and a sample of 10 batches was prepared using catalyst 2. the 12 batches for which catalyst 1 was used in the reaction gave an average yield of 85 with a sample standard deviation of 4, and the 10 batches for which catalyst 2 was used gave an average yield of 81 and a sample standard deviation of 5. find a 90% confidence interval for the difference between the population means, assuming that the populations are approximately normally distributed with equal variances.