_\\ "a\": (QR I Alg 2: Opt 4 -Performance Task: The Longer the Better Nina is shopping for a new battery for her laptop computer. She wants the battery to be 900d enough that it lasts from when she leaves her home In the morning for school until when she arrives back home from school. She often uses her laptop when traveling to and from school. - Brand X has a battery life that Is normally distributed with a mean of 9.75 hours and a standard deviation of 1.8 hours. . Brand Y has a battery life that is normally distributed with a mean of 9.5 ho ' urs and a standard -' deviation of 1.1 hours. Would you suggest that Nina purchase a Brand X or Brand Y batte ry? Use mathematics to justify your conclusion and explain your reasoning. ) Q U D 'E' "7'1 1.3 9.3.5.2222. 1; D g1 a 9 lg! 9....-.\" .2 -I -1 3 mandala Manon: Part 2. Estimate the number of hours of battery life required for 8, 9, and 10 hours using the zsoores for each battery. Explain the meaning of your ndings (1.5 points). a) Find the z-soore and provide context for the 8 hours of battery life. an ELEM z-score: z-soore: How likely is this event to occur? How likely is this event to occur