10 points collected from a measurement system exhibits a Gaussian distribution. A mean value of 25 [u] and a standard deviation of 2.1 [u] was calculated for these 10 points. a) What is the data range in the distribution for confidence level P = 90% ? b) Using P = 99% give the range for rejecting Outliers. c) An additional data point is acquired for the data with a value of X11 = 32 [u]. Using the statistics for the previous 10 points, is this 11th point an outlier? d) Consider this: after careful review of the measurement system, it was found that a systematic error of 5 [u] affected all measurements made so far. Does this systematic error change the statistics of the 10 points? (a) Both average and variance change. (b) Only variance changes. (c) Only the average value changes. (d) Neither the average nor the variance change..