Need helps answering these please. Thank you!!

3.  Choose the best answer. Justify for full credit.

(a) A study of 10 different weight loss programs involved 500 subjects. Each of the 10 programs had 50 subjects in it. The subjects were followed for 12 months. Weight change for each subject was recorded. You want to test the claim that the mean weight loss is the same for the 10 programs. What statistical approach should be used? (i) t-test (ii) linear regression (iii) ANOVA (iv) confidence interval

(b) A STAT 200 instructor teaches two classes. She wants to test if the variances of the score distribution for the two classes are different. What type of hypothesis test should she use? (i) t-test for two independent samples (ii) t-test for matched samples (iii) z-test for two samples (iv) F- test

6. A sample of 10 LED light bulbs consists of 1 defective and 9 good light bulbs. A quality control technician wants to randomly select two of the light bulbs for inspection. Find the probability that the first selected light bulb is good and the second light bulb is also good. (Show all work. Just the answer, without supporting work, will receive no credit.)

(a) Assuming the two random selections are made with replacement. 

  (b) Assuming the two random selections are made without replacement.   

7. There are 1000 students in a high school. Among the 1000 students, 250 students take AP Statistics, and 300 students take AP French. 100 students take both AP courses. Let S be the event that a randomly selected student takes AP Statistics, and F be the event that a randomly selected student takes AP French. Show all work. Just the answer, without supporting work, will receive no credit.

(a) Provide a written description of the complement event of (S OR F).

(b) What is the probability of complement event of (S OR F)?

8. Consider rolling two fair dice. Let A be the event that the sum of the two dice is 8, and B be the event that the first one is a multiple of 3. 

(a) What is the probability that the sum of the two dice is 8 given that the first one is a multiple of 3? Show all work. Just the answer, without supporting work, will receive no credit.

(b) Are event A and event B independent? Explain.