(Answered) 42 credit card holders are selected at random for each

Statistics

42 credit card holders are selected at random. For each, their current credit card balance is recorded. The average for these 42 people is = $600. Assume that the current balance of all credit card holders follows a normal distribution with unknown mean μ,and that a 85.3% confidence interval for μ is found to be $600 ± 34.6. Find the standard deviation σ of the population?

Please also explain how to find z score from the a/2 = 0.07350. I am not understanding how to find the z score too.

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