Instructions: 1. Write R code for each problem by mentioning the each steps of testing of hypothesis. 2. Take screenshot of R code for each problem, and send it. 3. For any query, go through the shared material in Vtop. Problem 1: An ambulance service claims that it takes on the average less than 10 minutes to reach its destination in emergency calls. A sample of 36 calls has a mean of 9 minutes and the variance of 16 minutes. Test the significance at 0.05 levels. Problem 2: A simple sample of the height of 6400 Englishmen has a mean of 67.85 inches and a S.D of 2.56 inches while a simple sample of heights of 1600 Austrians has a mean of 68.55 inches and S.D of 2.52 inches. Do the data indicate the Austrians are on the average taller than the Englishmen at 1% level of significance? Problem 3: In a big city 325 men out of 600 men were found to be smokers. Does this information support the conclusion that the majority of men in this city are smokers? Problem 4: Before an increase in excise duty on alcohol drink, 800 persons out of a sample of 1,000 persons were found to be alcohol drinkers. After an increase in duty, 800 people were alcohol drinkers in a sample of 1,200 people. Test whether there is a significant decrease in the consumption of alcohol after the increase in excise duty