In: Statistics and Probability
4. The National Assessment of Education Progress (NAEP) tested a sample of students who had used a computer in their mathematics classes and another sample of students who had not used a computer. The sample mean score for students using the computer was 309 with a sample standard deviation 29. For students not using computer, the sample mean was 303 and sample standard deviation was 32. Assume there were 60 students in the computer sample and 40 students in the sample that hadn’t used a computer. Can you conclude that the population mean scores differ? Use a α=0.05 significance level.
a. Calculate the Margin of error for 99% confidence level.
b. Construct a 99% confidence interval for the difference in means
c. Do the Hypothesis test.