Direction: Answer the following word problems using hypothesis testing. (15 pts each) 1. The average weight of all residents in BBQ town is 162 Ibs. A nutritionist believes the true mean to be different. She measured weight of 38 individuals and found the mean to be 173.4 lbs with a standard deviation of 23.8. At a=0.05, is there enough evidence to discard the null hypothesis? HARACTER 2. Chicha factory manufacture car battery with an average life span of more than 4.5 years. A mechanical engineer believes that these batteries cannot last in less than the said years. He tests a sample of 42 battery and finds out that the average time of the samples last only 3.8 years with a standard deviation of 2.75. At 1% significance level, is there enough evidence to support the idea that the battery can last longer from the claim of the factory