I’m stuck on a Statistics question and need an explanation.
This is all I was given, there is no table. Can someone walk me through the steps to get these answers?
Part II. Standard error of the mean and confidence intervals
A district-wide test is used to measure math attitude in freshmen in high school students, with a mean of 78 and a standard deviation of 12. Thirty-six selected freshmen took the test and their mean score was 85. You are tasked to examine if these students are significantly different from the district test group.
- Calculate the standard error of the mean (SEM)?
- After calculating the SEM, create a 95% confidence interval?
- After calculating the SEM, create a 99% confidence interval?
- Do these students have a similar or better score than the rest of the district students?