A study is done by a community group in two neighboring colleges to determine which one graduate's students with more math classes. College A samples 11 graduates. Their average is four math classes with a standard deviation of 1.5 math classes. College B samples 9 graduates. Their average is 3.5 math classes with a standard deviation of one math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Both populations have a normal distribution. Test at a 1 % significance level. Answer the following questions (15) a. Is this a test of two means or two proportions? Are the populations dependent or independent? b. Are the populations' standard deviations known or not? c. Which distribution is to be used? d. What is random variable? e. Hypothesis? f. Test is two tailed or one tail? g. Test value h. Use P-value method) to reach to the conclusion?