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Defective alternator and corroded or loose battery charges are a few of the main causes of battery degradation. A company producing automobile batteries is developing a prototype on their next product and that they claim their batteries will last on average, 3 years with a variance of 1 year. A random sample of 5 prototype batteries were taken and in the course of the company's product development, have measured their lifetimes as 1.9, 2.4, 3.0, 3.5, and 4.2 years. Construct a 95% confidence interval for o² and decide if the company's claim that o = 1 is valid. Assume the population of battery lives to be approximately normally distributed. a. 0.29 < a² < 6.74. 95% confidence interval for o? is (0.29, 6.74) b. 0.29 < o² < 6.74. Because 95% confidence interval for o? is (0.29, 6.74), and 1 is in that interval, we can conclude that the company's claim that o? = 1 is valid O.0.34 < o? < 4.59. Because 95% confidence interval for o? is (0.34, 4.59), and the s² = 0.815 is in that interval,…

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