A manufacturer of car batteries claims that the batteries will last, on average, 3 years with a variance of 1 year. If 5 of thes
e batteries have lifetimes of 1.9, 2.4, 3.0, 3.5, and 4.2 years, construct a 95% confidence interval for σ2 and decide if the manufacturer’s claim that σ2=1 is valid. Assume the population of battery lives to be approximately normally distributed.
1 answer:
Answer:
A) Interval for σ² is;
0.29 < σ² < 6.74
B) The manufacturer's claim that σ² = 1 is valid.
Step-by-step explanation:
A) I have attached the explanation
B) Due to the fact that the 95% confidence interval level for σ² is from 0.29 to 6.74 and that 1 falls within that range, we can say that the manufacturer's claim that σ² = 1 is valid.
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