Question

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 1

Answer:

At least 1537 samples needed to estimate the true average number of eggs a queen bee lays with 95 percent confidence

Step-by-step explanation:

Minimum sample size required can be found using the formula

N≥$(\frac{z*s}{ME} )^2$ where

• N is the sample size

• z 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≥$(\frac{1.96*10}{0.5} )^2$ =1536.64

Then, at least 1537 samples needed to estimate the true average number of eggs a queen bee lays with 95 percent confidence