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c) Your Components division manufactures capacitors, and the mean capacitance of 400 capacitors you have selected is 100µF, with a standard deviation of 7uF. If the capacitances are normally distributed, determine the number of capacitors likely to have values between 90pF and 110µF. Note: Use the z-table given in Appendix A when answering part c. d) A colleague, who is a Fuels engineer, is testing the effects of an experimental fuel additive for petrol engines which your company is developing. She adds the same sample amount of additive to 100 full petrol tanks for the same model of car, and records the number of miles per gallon (mpg) for each car after being driven around a test track at a constant speed, until the fuel runs out. She knows that such testing undertaken without the additive produces a mean mpg figure of 44. Collecting results with the additive, she notices that the mean mpg figure is 48 with a sample standard deviation of 13 mpg. By interpreting the results of the testing, show whether you agree, or not, with her hypothesis that the fuel additive has ifluenced the number of miles per gallon for the cars. Draw by hand, or use suitable software, to produce a graphic, suitable for a non-technical company executive, which represents the results of your analysis.

c) Your Components division manufactures capacitors, and the mean capacitance of 400 capacitors you have selected is 100µF, with a standard deviation of 7uF. If the capacitances are normally distributed, determine the number of capacitors likely to have values between 90pF and 110µF. Note: Use the z-table given in Appendix A when answering part c. d) A colleague, who is a Fuels engineer, is testing the effects of an experimental fuel additive for petrol engines which your company is developing. She adds the same sample amount of additive to 100 full petrol tanks for the same model of car, and records the number of miles per gallon (mpg) for each car after being driven around a test track at a constant speed, until the fuel runs out. She knows that such testing undertaken without the additive produces a mean mpg figure of 44. Collecting results with the additive, she notices that the mean mpg figure is 48 with a sample standard deviation of 13 mpg. By interpreting the results of the testing, show whether you agree, or not, with her hypothesis that the fuel additive has ifluenced the number of miles per gallon for the cars. Draw by hand, or use suitable software, to produce a graphic, suitable for a non-technical company executive, which represents the results of your analysis.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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part C D 

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Scenario: You work as a Test Engineer for a global manufacturer of electrical and mechanical components and systems. Your Line Manager is responsible for delegating to you and your colleagues the testing of theory, principles, and hypotheses from several worldwide company divisions. She has asked you to undertake a series of such evaluations. a) Your Communications division manufactures wireless dongles for use in general computing. These dongles have a maximum allowed radiative power of +20dBm. A random sample of ten dongles was taken, and their transmit power was measured by a colleague, using a spectrum analyser. The results are as follows; 10 Sample Power (+dBm) 2 3 4 5 6. 8 18.1 19.2 18.4 18.1 19.9 18.1 17.4 19.1 18.1 17.4 () Calculate the mean transmit power for these samples. (i) Determine the standard deviation for the samples. (ii) Produce a Tally Chart showing the frequency of measured transmit powers. b) You visit your Manufacturing division, which has a machine producing metal bolts. In a tray of these bolts, 94% are within the allowable diameter tolerance value. The remainder exceed the tolerance. You withdraw six bolts at random from the tray. Determine the probabilities that; (0) Two of the six bolts exceed the diameter. (i) More than two of the six bolts exceed the diameter. c) Your Components division manufactures capacitors, and the mean capacitance of 400 capacitors you have selected is 100µF, with a standard deviation of 7pF. If the capacitances are normally distributed, determine the number of capacitors likely to have values between 90µF and 110µF. Note: Use the z-table given in Appendix A when answering part c. d) A colleague, who is a Fuels engineer, is testing the effects of an experimental fuel additive for petrol engines which your company is developing. She adds the same sample amount of additive to 100 full petrol tanks for the same model of car, and records the number of miles per gallon (mpg) for each car after being driven around a test track at a constant speed, until the fuel runs out. She knows that such testing undertaken without the additive produces a mean mpg figure of 44. Collecting results with the additive, she notices that the mean mpg figure is 48 with a sample standard deviation of 13 mpg. By interpreting the results of the testing, show whether you agree, or not, with her hypothesis that the fuel additive has influenced the number of miles per gallon for the cars. Draw by hand, or use suitable software, to produce a graphic, suitable for a non-technical company executive, which represents the results of your analysis. Note: Use the z-table given in Appendix A when answering part d.
Transcribed Image Text:Scenario: You work as a Test Engineer for a global manufacturer of electrical and mechanical components and systems. Your Line Manager is responsible for delegating to you and your colleagues the testing of theory, principles, and hypotheses from several worldwide company divisions. She has asked you to undertake a series of such evaluations. a) Your Communications division manufactures wireless dongles for use in general computing. These dongles have a maximum allowed radiative power of +20dBm. A random sample of ten dongles was taken, and their transmit power was measured by a colleague, using a spectrum analyser. The results are as follows; 10 Sample Power (+dBm) 2 3 4 5 6. 8 18.1 19.2 18.4 18.1 19.9 18.1 17.4 19.1 18.1 17.4 () Calculate the mean transmit power for these samples. (i) Determine the standard deviation for the samples. (ii) Produce a Tally Chart showing the frequency of measured transmit powers. b) You visit your Manufacturing division, which has a machine producing metal bolts. In a tray of these bolts, 94% are within the allowable diameter tolerance value. The remainder exceed the tolerance. You withdraw six bolts at random from the tray. Determine the probabilities that; (0) Two of the six bolts exceed the diameter. (i) More than two of the six bolts exceed the diameter. c) Your Components division manufactures capacitors, and the mean capacitance of 400 capacitors you have selected is 100µF, with a standard deviation of 7pF. If the capacitances are normally distributed, determine the number of capacitors likely to have values between 90µF and 110µF. Note: Use the z-table given in Appendix A when answering part c. d) A colleague, who is a Fuels engineer, is testing the effects of an experimental fuel additive for petrol engines which your company is developing. She adds the same sample amount of additive to 100 full petrol tanks for the same model of car, and records the number of miles per gallon (mpg) for each car after being driven around a test track at a constant speed, until the fuel runs out. She knows that such testing undertaken without the additive produces a mean mpg figure of 44. Collecting results with the additive, she notices that the mean mpg figure is 48 with a sample standard deviation of 13 mpg. By interpreting the results of the testing, show whether you agree, or not, with her hypothesis that the fuel additive has influenced the number of miles per gallon for the cars. Draw by hand, or use suitable software, to produce a graphic, suitable for a non-technical company executive, which represents the results of your analysis. Note: Use the z-table given in Appendix A when answering part d.
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