Analyze the given problems. Apply what method is to be used in each problem. Follow the hypothesis testing procedure. 1. A study is done by a community group in two neighboring college to determine which graduate students have 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 with average of 3.5 Math classes and standard deviation of 1 Math classes. The community group believes that a student who graduates from College A has taken more Math classes on the average. Both population have a normal distribution. Test at s 1% significance levels. 2. A manufacturer of a cellular battery claims that when fully charged, the mean life of his products lasts for 26 hours with a standard deviation of 5 hours. Mr. Lee a regular distributor, randomly picked and tested 35 of the batteries. His test showed that the average life of his sample is 24.3 hours. Is there a significant difference between the average life of all the manufacturer's batteries and the average battery life of his sample? = 5% archers want to eat a new anti-hunger weight loss pill. They have 10 people that rate their hunger before and after taking the pill. Does the pill do anything? Use alpha equal to 0.05. 3. After 7 6 5 4 Before 9 10 7 5 7 5 9 6 8 7 4 6 7 5 5 7