1. The mean and standard deviation of a process are expected to be about μ = 400 and σ = 16. An experiment is required to estimated the true mean with precision 8 = 10 with 95% confidence, i.e. a confidence interval for the population mean of the following form is required: P(x-8<< x+6) = 0.95 where x will be determined from the sample data. Calculate the sample size for the experiment assuming that the distribution is normal and that the population standard deviation will be estimated from the sample standard deviation.

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