A 97% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A preliminary sample standard…

A 97% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A preliminary sample standard deviation is 2.1. The smallest sample size n that provides the desired accuracy is?

Please provide step by step solution and I will rate best answer! Thanks!

I have a formula of n= ((z* multiply sigma)/margin of error)^2 for sample size of confidence intervals of means. But I am not getting any of the answer options. I am getting a very large number instead. I know how to calculate z*, margin of error (m) = 1/2 of the width. So what am I missing?

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