Question 1 [10 pts] To evaluate whether or not the intake of a vitamin or mineral is adequate, comparisons are made between the intake distribution and the requirement distribution. Here is some information about the distribution of vitamin C intake, in milligrams per day, for women aged 19 to 30 years. Percentile (mg/d) Ist 5th 19th 25th 50th 75th 90th 95th 99th 31 42 48 61 79 102 126 142 179 Mean 84.1 Use the 5th, 50th, and 95th percentiles of this sample distribution to estimate the mean and standard deviation of the correspond- ing parent distribution, assuming that the parent distribution is a normal distribution. Explain your method for doing this