Final answer:
To calculate the sample size required for a 95% confidence level and a margin of error of 0.01, we can use the formula: sample size (n) = (z * s) / E. Plugging in the values, a sample size of 196 is required.
Step-by-step explanation:
To calculate the sample size required for a 95% confidence level and a margin of error of 0.01, we can use the formula:
sample size (n) = (z * s) / E
Where: z is the critical value at the desired confidence level (1.96 for a 95% confidence level), s is the estimated standard deviation (in this case, 1), and E is the desired margin of error (0.01).
Plugging in the values:
n = (1.96 * 1) / 0.01
n = 196
Therefore, in order to achieve the desired confidence level, a sample size of 196 is required.