Suppose that we wanted to estimate the true average number of eggs a queen bee lays with 95 percent confidence. The margin of error we are willing to accept is 0.5. Suppose we also know that s is about 10. At minimum, what sample size should we use ?

Answer:At least 1537 samples needed to estimate the true average number of eggs a queen bee lays with 95 percent confidenceStep-by-step explanation:Minimum sample size required can be found using the formulaN≥[tex](\frac{z*s}{ME} )^2[/tex] where N is the sample sizez is the corresponding z-score of 95% confidence level (1.96)s is the standard deviation (10)ME is the margin of error (0.5) then N≥[tex](\frac{1.96*10}{0.5} )^2[/tex] =1536.64Then, at least 1537 samples needed to estimate the true average number of eggs a queen bee lays with 95 percent confidence