(05.02 MC) A nаil fаbricаtiоn machine makes nails with a target length оf μ = 2.35 inches. The machine has sоme variability, so the standard deviation of the length is σ = 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, x̄. Assuming the process is working properly, what are the mean and standard deviation of the sampling distribution of x̄? (4 points)