Independent random samples of 45 and 55 soft drinks are drawn from two soft-drink machines. Sample average content and standard deviation were obtained for both samples. The sample data is presented in the following table:
Machine 1 Machine 2
Sample Size 45 - 55
Sample Mean 11.84 oz. 11.91oz.
Sample Standard Deviation 0.046 oz. 0.044 oz.
Do the data present sufficient evidence to indicate that the mean for the machine 1 is smaller than the mean for the machine 2? Use a 0.05 level of significance.