Assume that Science scores on a 25-point quiz for a random sample of 5 students were drawn from a

normal population. The assumed variance was 20 while the recorded variances were: 18, 16, 10, 13, and
23. You suspected that the variance is actually higher.
What test do you need to use?
State the null and alternative hypotheses.
Test the hypotheses at the 10% significance level. What is the p-value?
What is the conclusion (2-part)?
Estimate the population variance with 90% confidence.