In: Statistics and Probability
A study was done on protected and non protected tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01
significance level for both parts.
Protected |
Non-protected |
|
μ |
μ 1 |
μ 2 |
n |
30 |
34 |
x̅ |
77.53 |
81.35 |
s |
10.06 |
18.26 |
b. Construct a confidence interval suitable for testing the claim that students taking non-protected tests get a higher mean score than those taking protected tests.