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Five marks (AE) have been set out in a straight line. The following measurements were made between them. E- w- E m The measurements have been made using an instrument with an expected standard deviation of o = :I:(5i]ppm). The measurements were made in adverse conditions so the true effective standard deviation mav be worse than that. All the observations {distances} have been carefully checked and there are only random errors in them. {a} Calculate the most probable values (MWs) of the inter mark distances using 10 steps of least squares method. (b) Determine the best estimate of their standard deviations of the inter mark distances. {c} Comment on the purpose of the statistical testing and an}:r assumption modications vou needed to make to get statistically valid results for parts [a] and {b}