A social media engagement level study based on a random sample of 40 university students reported a mean of 64 (on a 0 to 100 scale) with a margin of error of 10 for 95% confidence
a. Give the 95% confidence interval.
b. If you wanted 99% confidence level for the same study, would your margin of error be greater than, equal to, or less than 10? Explain your answer.