Sample 100 electronic components produced by a certain method. The mean lifetime is 125 hours and standard deviation 20  find the sample size needed so that 99.8% confidence interval will have a margin of error of 4 .  a sample size of what is needed so that 99.8% confidence interval will have a margin of error of 4

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Sample 100 electronic components produced by a certain method. The mean lifetime is 125 hours and standard deviation 20 
find the sample size needed so that 99.8% confidence interval will have a margin of error of 4 . 
a sample size of what is needed so that 99.8% confidence interval will have a margin of error of 4 

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Given that,

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Critical values: Using the z-table, the critical value at 99.8% confidence level is  

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