Determine the appropriate test statistics to be used. And follow the steps in hypothesis testing to arrive with appropriate conclusion.

1. The nutritionist wants to know the difference in saturated fat contained in Big Mac as compared to Jolly Burger. Instead of relying the published data of the two companies, the nutritionist buy 25 Big Mac and 29 Jolly Burger. She found out that Big Mac have an average saturated fat content of 12.2 grams per burger with standard deviation of 2.6 grams. The Jolly Burger has an average of 11.3 grams per burger with a standard deviation of 3.1 grams. Decide how you would responds to the claim at 5% significance that the average saturated of the two types of burgers are different.
2. The mothers claimed that baby boys start walking at an early age than the baby girls. A random sample of 18 giris started walking at a mean age of 12.5 months with a standard deviation of 0.8 months. sample of 12 boys had a mean of 12.1 and a standard deviation of 0.7. Test the hypothesis at 5% level of significance.
3. In order to test the quality of the language program offered in ABC Tutorial Center, the students were tested before and after taking the language program offered. The results of the test are as follows: