Final answer:
To calculate the margin of error with a sample size of 1025 and standard deviation of 1.5, you can use the formula Margin of Error = (Z-score) * (Standard Deviation / Square Root of Sample Size). Using a Z-score of 1.96 for a 95% confidence level, the margin of error is approximately 0.0737.
Step-by-step explanation:
To calculate the margin of error, we use the formula:
Margin of Error = (Z-score) * (Standard Deviation / Square Root of Sample Size)
Given a sample size of 1025 and a standard deviation of 1.5, we need to find the Z-score. Using a standard normal distribution table, we can find that the Z-score at a 95% confidence level (corresponding to a level of significance of 0.05) is approximately 1.96. Plugging in the values, we can calculate the margin of error:
Margin of Error = 1.96 * (1.5 / √1025) = 0.0737 (rounded to four decimal places)