Solve part (c) and (d) only. A manufacturer of plastic pipes uses a scale with an accuracy of  of its range of  to measure the mass of each pipe the company produces in order to calculate the uncertainty in mass of the pipes. In one batch of  parts, the measurements are as follows: 2.90,2.95,2.96,2.92,2.95,2.94,2.96,2.97,2.98,2.91 (lb)  Calculate (a) the mean mass of the sample. (b) the standard deviation of the sample and the standard deviation of the mean. (c) the total uncertainty of the mass of a single product at a 95% confidence level. (d) the total uncertainty of the average mass of the product at a 95% confidence level.

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