Answer:
1537
Step-by-step 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.