Use the given information to find the minimum sample size required to estimate an unknown population mean μMargin of error: $120, confidence level: 95%, σ = $593836694133

Answer:94Step-by-step explanation:Margin of error = E = $ 120Confidence Level = 95%The z-score for 95% confidence level from the z-table = z = 1.96Population standard deviation = σ = $593Sample size = n  = ?The formula to calculate the margin of error is:[tex]E=\frac{z \sigma}{\sqrt{n} }[/tex]Re-arranging the equation, we get:[tex]\sqrt{n}=\frac{z \sigma}{E}\\\\  n = (\frac{z \sigma}{E})^{2}[/tex]Using the given values in above equation, we get:[tex]n=(\frac{1.96 \times 593}{120} )^{2}\\\\ n = 93.8[/tex]Rounding of to next higher integer, we get n = 94Thus, we need a sample size of 94 to estimate an unknown population mean μ