Be sure to show in-depth explanation as well. Thanks.

25. To estimate the accuracy and precision of an instrument that measures lengths, a .300-in. gauge block was used as a reference standard and was measured five times. The resulting measurements were: .301, .303, .299, .305, and .304. Calculate estimates of both the accuracy and the precision of the measuring instrument.

27. Many instrument makers report the accuracy of their instruments in terms of relative error as well as absolute error. The relative error in a measurement is defined as (m2x)yx ? 100%, where m is the measured value and x is the true value. Absolute error is given by |m2x|. a. Calculate the relative errors for each of the five measurements in Exercise 25. b. Relative errors are often stated in terms of the maximum relative error to be expected for any measurements within the range of an instrument. Suppose, for example, that a thermometer has a maximum relative error of 64% over its operating range of 250F to 150F. What is the maximum absolute error you would expect in a measured reading of 70F from this thermometer?