A researcher has discovered a new metal that she thinks can be used in batteries to extent battery life. She is well aware that the type of battery she is hoping to improve (the regular batteries) last on average 650 minutes. In her own lab she creates 10 new batteries and tests whether these batteries perhaps function differently than the regular batteries. She tests these batteries at an alpha level of 0.05. A second researcher thinks she can improve on the work done by the researcher from Q1 and tinkers with 8 new batteries. She finds a mean battery life of 632. Surprisingly, she finds the same standard deviation in her sample as the researcher from Q1. Please establish a 95% confidence interval around the mean and draw a conclusion assuming a two-tailed test. Please be as specific as possible in your conclusion (show the math). The newly created batteries last [678 648 659 689 658 670 685 630 637 672]