3. A multinational conglomerate has two textile centers in two different cities. In order to make a profit, each location must produce more than 1000 kilograms of refined wool per day. A random sample of the wool production in kilograms on five different days over the last year for the two locations was taken. The results are stored in the data frame Wool. Based on the collected data, does the evidence suggest the locations are profitable? Is one location superior to the other? 4. The director of urban housing in Vitoria, Spain, claims that at least 50% of all apartments have more than one bathroom and that at least 75% of all apartments have an elevator. (a) Can the director's claim about bathrooms be contradicted? Test the appropriate hypothesis using a = 0.10. Note that the number of bathrooms is stored in the variable toilets in the data frame vit2005. (b) Can the director's claim about elevators be substantiated using an a level of 0.10? Use both an approximate method as well as an exact method to reach a conclusion. Are the methods in agreement? (c) Test whether the proportion of apartments built prior to 1980 without garages have a higher proportion with elevators than without elevators