Question: Lifetime of electronics: In a simple random sample of100electronic components produced by a certain method, the mean lifetime was125hours. Assume that component lifetimes are normally

Lifetime of electronics:In a simple random sample of100electronic components produced by a certain method, the mean lifetime was125hours. Assume that component lifetimes are normally distributed with population standard deviation=20hours. Round the critical value to no less than three decimal places.

(a) Construct a98%confidence interval for the mean battery life. Round the answer to the nearest whole number .A98%confidence interval for the mean battery life is120< u

<130

(b) Find the sample size needed so that a99.8%confidence interval will have a margin of error of2.

2 .A sample size of______is needed so that a99.8%confidence interval will have a margin of error of2. Round the sample size up to the nearest integer.

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