Final answer:
To calculate the margin of error at an 80% confidence level with given values, the formula EBM = (t0.20€ƒ€•(s/√n)) is usually used, but the t-score is not provided for an exact calculation. Generally, a larger sample size results in a smaller margin of error and a narrower confidence interval.
Step-by-step explanation:
To find the margin of error at an 80% confidence level given that n=10, â=38, and s=6, one would typically use the formula for the margin of error for the mean of a sample: EBM = (t₀€ƒ€•(s/√n)), where t₀€ƒ€• is the t-score corresponding to the desired confidence level for a specific degrees of freedom (df = n - 1) and s is the sample standard deviation. However, since the specific t-score value isn't provided, we cannot calculate an exact margin of error. Generally, increasing the sample size will lead to a decrease in the margin of error because the standard error (s/√n) gets smaller, which means the confidence interval becomes narrower. Conversely, decreasing the sample size will result in a larger margin of error and a wider confidence interval.