(a) A dog storeowner has 25 Maltese dogs for sale. The dogs come from a population whose mean weight (u) is 3 kilograms and standard deviation (0') is 0.5 kilogram. (i) If the dog store owner randomly selects a dog from his store, weighs it, puts it back and repeats this procedures 4 more times, what is the expected weight of the total weight (in kilogram) of the 5 dogs in the sample? (ii) If the dog store owner randomly selects 5 dogs without replacement from his store and weighs them, what is the expected weight of the total weight (in kilogram) of the 5 dogs selected? (iii) If the dog store owner randomly selects a dog from his store, weighs it, puts it back in store and repeats this procedures 4 more times, what is the standard error of the mean (in kilogram) of the 5 dogs in the sample? (iv) If the dog store owner randomly selects 5 dogs without replacement from his store and weighs them, what is the standard error of the mean (in kilogram) of the 5 dogs in the sample