Final answer:
To determine the sample size given the standard deviation, error, and confidence level, we can use the formula: sample size = (Z-value * standard deviation / error)^2. Plugging in the given values, the sample size is approximately 149.559.
Step-by-step explanation:
To determine the sample size given the standard deviation, error, and confidence level, we can use the formula:
sample size = (Z-value * standard deviation / error)^2
Here, the Z-value is the critical value corresponding to the desired confidence level. For a 99% confidence level, the Z-value is approximately 2.576. Plugging in the given values:
sample size = (2.576 * 6.2 / 1.49)^2 = 149.559
Therefore, the sample size is approximately 149.559.