hello would like to get help wth these questions kindly try to solve it on paper thank you in advance

(10+20+10 pt) You produce carrots. You place them in large sacks to sell. The sacks should weigh 30kg each. Your sample of 20 sacks show you that x = 28.7kg. You know that standard deviation, o is equal to the last two digits of your student id. (If your number is N12345678, then o=78, etc.) a. Make a 96% confidence interval for the average weight u of your sacks. b. If the average weight u of your sacks is less than 29kg, you won't be able to sell your carrots to the juice company. Test this situation at a 93% confidence. C. You are paid by the number of sacks you ship, so you don't want to have no more than 30kg in your sacks on the average. Just write the hypotheses for testing this case (10pt) You analyse your company's demand data and find out it's a Weibull(70,1.5) distribution. Your mean demand is 70 items per week. Standard deviation is 10. What is the maximum probability that the demand you observe next week is at most 90