Two companies market new batteries targeted at owners of personal music players. DuraTunes claims a mean battery life of 11 hours, while RockReady advertises 12 hours. a) Explain why you would also like to know the standard deviations of the battery lifespans before deciding which brand to buy. b) Suppose those standard deviations are 2 hours for DuraTune s and 1.5 hours for RockReady. You are headed for 8 hours at the beach. Which battery is most likely to last all day? Explain. c) If your beach trip is all weekend, and you probably will have the music on for 16 hours, which battery is most likely to last? Explain.

Answer with Step-by-step explanation:Since we have given that [tex]\mu_{DuraTunes}=11\\\\\mu_{RockReady}=12[/tex] a) Explain why you would also like to know the standard deviations of the battery lifespans before deciding which brand to buy. As we know that A battery with large standard deviation will last for few hours whereas A battery with small standard deviation will last for more hours.If the standard deviation is small, then we are sure about the number of hours would be more and battery would be efficient.b) Suppose those standard deviations are 2 hours for DuraTune s and 1.5 hours for RockReady. You are headed for 8 hours at the beach. Which battery is most likely to last all day? Explain. [tex]\sigma_{Duratunes}=2\\\\\sigma_{Rockyready}=1.5[/tex]Since standard deviation of Duratunes is more than standard deviation of Rockyready.We need to headed for 8 hours at the beach.So, Rockyready battery is most likely to last all day as it has small standard deviation.c) If your beach trip is all weekend, and you probably will have the music on for 16 hours, which battery is most likely to last? Explain.Again Rockyready battery is most likely to last as it has smaller standard deviation between the two.