Two students are interested in whether or not there is variation in their test scores for math class. There are 15 total math tests they have taken so far. The first student’s grades have a standard deviation of 38.1. The second student’s grades have a standard deviation of 22.5. The second student thinks his scores are lower.
State the null and alternative hypotheses. (fill in <,≤, >, ≥, =)
a) H0: σ1 _____ σ2
b) Ha: σ1 ______ σ2
c) What is the F-statistic?
d) What is the p-value?
e) At the 5% significance level, do we reject or fail to reject the null hypothesis?
f) There (is or is not) ________enough evidence to say that the variance of the grades for the first student is higher than the variance in the grades for the second student
