Safari 22:13 Mon 29 Jan Assignment 03 84%E Home Insert Draw Layout Review View Arial BIU aA < Solve an engineering problem using routine central tendancy, dispersion and distribution operations. Task 1 (P5) Task 1.1 The following values of hFE were measured from a sample of 25 small signal transistors taken at random from a batch of transistors manufactured on the production line of a semi-conductor company: 291, 302, 305, 299, 314, 285, 296, 302, 293, 307, 310, 298, 300, 305, 394, 308, 301, 312, 284, 297, 299, 303, 308, 295, 299 For the above sample, calculate correct to two decimal places: a) Three different measures of central tendency b) Range c) Standard deviation Variance Task 2 Solve an engineering problem using routine linear regression operations. (P6) Task 2.1 In an experiment to determine the relationship between frequency and the inductive reactance of an electrical circuit, the following results were found: Frequency (Hz) 50 100 150 Inductive reactance (Ohms) 30 65 90 200 130 250 300 350 150 190 200 By showing these values on a suitable graph, determine the equation of the regression line of inductive reactance on frequency, assuming a linear relationship is present. State your result in standard linear format. || Safari 22:13 Mon 29 Jan Assignment 03 Home Insert Draw Layout Review View Arial BIU aAv 84%E Task 3 Solve an engineering problem accurately using routine and non-routine central tendancy, dispersion and probability distribution operations, providing an explanation of the process (M5) Routine operations were covered in Task 1. The following task covers non-routine operations. Task 3.1 The specific resistance of some copper wire of nominal diameter 1mm is estimated by determining the resistance of 6 samples of the wire. The resistance values found are: Ohms per metre 2.16 2.14 2.17 2.15 2.16 2.18 a) Explain the term 'confidence interval' b) Determine the 95% confidence interval for the true specific resistance of the wire, explaining the process you are using to do this. c) Comment on the effect of values outside the limits. Task 4 Solve given problems accurately using routine and non-routine regression operations, providing an explanation of the process (M6) Task 4.1 In an experiment to determine the relationship between force on a wire and resulting extension, the following data was obtained: Force (N) 10 20 Extension (mm) 0.22 0.40 30 0.61 40 0.85 50 60 70 1.20 1.45 1.7 a) Determine the most appropriate type of regression line for this data, explaining how you arrive at you answer. b) Determine of the coefficient of correlation for this data. c) Comment on the considered accuracy values using this method. || Safari 22:13 Mon 29 Jan Assignment 03 84%E Home Insert Draw Layout Review View Arial BIU aAA AE Task 5 Evaluate the correct synthesis and application of statistics and probability to solve engineering problems involving accurate routine and non-routine operations (D3) Task 5.1 The following dataset of ungrouped data have been collected from a sample of measurements of car part sizes from December 2020 (dimensions in mm): 13 22 26 38 36 42 49 50 77 81 98 110 You are required to compare this with four historical datasets which have the following results : August September October November Mean 51.5 18.5 100.1 54.6 s.d. = 3.5 12.1 13.6 20.8 By finding the mean and s.d. of the December figures, comment on any trends in the production process. In Addition to completing task 5.1, to achieve D1 you will have covered the following within this assignment: You will have correctly and efficiently manipulate formulae. You will have used mathematical methods and terminology precisely and apply relevant units when working with mathematical expressions that model engineering situations Small and large numerical values will be correctly presented in an appropriate format, for example engineering notation or standard form. You have worked to specified numerical precision, as specified by the assessor, through the use of appropriate significant figures. ||