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EDR 8201 NCU Week 5 Standard Error of The Mean & Confidence Intervals Paper

EDR 8201 NCU Week 5 Standard Error of The Mean & Confidence Intervals Paper

Question Description

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?

Thank you!

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?