Please Anser both and provide the correct answer for both. In the following format

11: A

12:B

11. (05.02 MC) A nail fabrication machine makes nails with a target length of u = 2.35 inches. The machine has some variability, so the standard deviation of the length is o = 0.2 inch. The machine operator inspects a random sample of 10 nails each hour for quality control purposes and records the sample mean diameter, x. Assuming the process is working properly, what are the mean and standard deviation of the sampling distribution of x? (4 points) He = 2.35 and Ox = 0.2 H& = 10 and Ox = 0.0632 H& = 10 and Ox = 0.2 O HR = 2.35 and Ox = 0.0632 O H& = 2.35 and ; = 3.16 12. (05.02 MC) The amount of marinara sauce on the spaghetti at Pasta Infusion follows a Normal distribution, with a mean of 3.25 ounces and a standard deviation of 0.2 ounce. A random sample of 10 plates of spaghetti is selected every day and the sauce is measured. What is the probability that the mean weight will exceed 3.3 ounces? (4 points) 0.2146 0.7854 0.4013 0.5987 0.7905