Solve the problems by following the step-by-step procedure in hypothesis testing.

Please show handwritten solutions, thank you.

Solve the problems by following the step-by-step procedure in hypothesis testing. 1. A soda manufacturer is interested in determining whether its bottling machine tends to overfill. Each bottle is supposed to contain 12 ounces of fluid. A random sample of 25 bottles was taken and found that the mean amount of soda of the sample of bottles is 11.4 ounces with a standard deviation of 0.6 ounces. If the manufacturer decides on a significance level of 0.05 test, should the null hypothesis be rejected? 2. A TV manufacturer claims that the life span of its regular TV sets is longer than 10 years with a standard deviation of 1.8 years. Using a random sample of their 25 TV sets, the average life span is found to be 11.9 years. Test the hypothesis that the TV sets' life span is longer than 10 years at a = 0.05