[Question M] Question: You work for a medical device compan…
Question: You work for a medical device company, and your product is battery packs for artificial hearts. The heart will last almost indefinitely once implanted, but it needs the batteries charged in order to work. The current battery pack is believed to have a mean of 240 minutes with a population standard deviation of 50 minutes. Your company has developed a new battery pack which it hopes will last longer. You take a sample of 8 of the new battery packs and test their life spans. You find them to have a mean life of 270 minutes. You want to run a statistical test to determine if the battery life has increased with the new technology. State the null and alternative hypotheses, and any other assumptions you need to make. What is the p-value for your sample? Using the alpha = 0.05 level of significance, what is your conclusion? In addition to stating “reject/do not reject the null hypothesis,” please put it in plain English. What does your conclusion mean for the life of the new technology battery packs?