# Question: 2 the following are the lifetimes in hours of a...

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2. The following are the lifetimes (in hours) of a random sample of a type of electrical component:

1428.4, 970.4, 724.6, 691.4, 856.7, 1144.3, 817.6, 1630.7, 1082.2, 932.8.

(a) Determine the 95% confidence interval for the average lifetime of the component.

(b) Determine the 99% confidence interval for the average lifetime of the component.

(c) In the last year, the average lifetime of the component was 833.7 hours. According to the above sampling results, can we say that the average lifetime of the component is improved compared to the last year? Briefly explain.

(d) If you want the sample result more accurately reflect the population, what would you do?