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Q4. a) A large batch of capacitors is manufactured and a sample of 10 is selected and measured using an accurate impedance analyser, giving values of C (in pF): 494, 501, 500, 497, 493, 492, 503, 499, 507, 498. (i) Based on this sample, estimate the mean and standard deviation of the population of values using the range method. (ii) Assuming that the values of C are normally distributed, sketch graphs showing the probability distribution function and cumulative distribution function of the population, with the axes and typical values on the axes labelled. (Note: graph paper is not required - neat sketches are adequate). (iii) If 10,000 is manufactured and the capacitor with 495 pF

Q4. a) A large batch of capacitors is manufactured and a sample of 10 is selected and measured using an accurate impedance analyser, giving values of C (in pF): 494, 501, 500, 497, 493, 492, 503, 499, 507, 498. (i) Based on this sample, estimate the mean and standard deviation of the population of values using the range method. (ii) Assuming that the values of C are normally distributed, sketch graphs showing the probability distribution function and cumulative distribution function of the population, with the axes and typical values on the axes labelled. (Note: graph paper is not required - neat sketches are adequate). (iii) If 10,000 is manufactured and the capacitor with 495 pF

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Can you please help me with parts 1,2 and 3 of this question.

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Q4. a) A large batch of capacitors is manufactured and a sample of 10 is selected and measured using an accurate impedance analyser, giving values of C (in pF): 494, 501, 500, 497, 493, 492, 503, 499, 507, 498. (i) Based on this sample, estimate the mean and standard deviation of the population of values using the range method. (ii) Assuming that the values of C are normally distributed, sketch graphs showing the probability distribution function and cumulative distribution function of the population, with the axes and typical values on the axes labelled. (Note: graph paper is not required - neat sketches are adequate). :505pF (iii) If 10,000 is manufactured and the capacitor with 495 pF < C < will be accepted, how many capacitors within these 10,000 capacitors will be accepted?
Transcribed Image Text:Q4. a) A large batch of capacitors is manufactured and a sample of 10 is selected and measured using an accurate impedance analyser, giving values of C (in pF): 494, 501, 500, 497, 493, 492, 503, 499, 507, 498. (i) Based on this sample, estimate the mean and standard deviation of the population of values using the range method. (ii) Assuming that the values of C are normally distributed, sketch graphs showing the probability distribution function and cumulative distribution function of the population, with the axes and typical values on the axes labelled. (Note: graph paper is not required - neat sketches are adequate). :505pF (iii) If 10,000 is manufactured and the capacitor with 495 pF < C < will be accepted, how many capacitors within these 10,000 capacitors will be accepted?
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