In: Statistics and Probability
Given: Coefficient: 0.2776 Standard Error: 1.1421 regressing Average scores on Teachers' Aide
a) Construct 90% two-sided confidence intervals for each parameter.
b) Construct 95% upper and lower one-sided confidence intervals for each parameter.
c) Is there evidence that the presence of teacher aides has an effect on student achievement? You may use a 10% level of significance.
d) Is there evidence that the presence of teacher aides has a positive effect on student achievement? You may use a 5% level of significance.
e) Suppose you learned that a student’s test score is independent of whether a teacher aide is present in their classroom. Would you be surprised? Explain.
(e) It is quite surprising that a student's test score is independent of whether a teacher aide is present in their classroom. Because practically in real world, presence of teacher aide is very important to understand the subject knowledge.