Question

uppose that we wanted to estimate the true average of eggs a queen bee lays with 95% confidence. The margin of error we are will to accept is 0.5. Suppose we also know that s is about 10. What sample size should we use

Answer 1

1537

Explanation:

The first thing is to apply the corresponding formula of this case, it is the calculation of a sample size without knowing the population. The equation is as follows, let n be the sample size:

n = (z * s / E) ^ 2

We know that z the corresponding z score of 95% of the confidence level, that this case is 1.96.

s, is the standard deviation and has a heat of 10.

Finally E, would be the error that is 0.5.

Now it's just replace in the formula:

n = (1.96 * 10 / 0.5) ^ 2 = 1536.64, that is approximately the sample must be 1537.