subject: statistics

solve the following questions ( handwritten solution only neatly and clean box final answer) thank you!

Solve the following problems. Show your complete solution. No solution means wrong. I. A recent study of 200 nurses found that of 125 female nurses, 56 had bachelor's degrees; and of 75 male nurses, 34 had bachelor's degrees. If a nurse is selected at random, find the probability that the nurse is a. A female nurse with a bachelor's degree b. A male nurse c. A male nurse with a bachelor's degree 2. Three drugs are drawn from a medicine cabinet containing 2 paracetamol, 3 decongestant, and 4 antimotility of different tablets labelled as A, B, and C respectively. Determine the probability that they are in the order A, b, and C if each drug is a. replaced and b. not replaced. 3. Write the 5-step solution for each of the following problems. a. An instructor wishes to determine which of two methods is more effective in teaching a certain concept ins Statistics. In a class of 36 students, he used Method A and in another class of 40 students, he use Method B. at the end of the lesson, he gave the two classes the same examination and obtained the following results: Method A Method B Is he/she correct in assuming that Method A is more effective than Method B? Use a = (.01 level b. A manufacturer claims that the average nicotine content of a certain kind of cigarette is 0.29 milligram. Suspecting that this figure is too low, a government protection service takes a random sample of 25 of these cigarettes from different production plants and found that their nicotine content has a mean of 0.33 milligram with a standard deviation of 0.15 milligram. Use 0.05 level of significance