Homework1_Sol

Homework1_Sol - MCE311 Homework # 1 Due on Monday, Feb...

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MCE311 Homework # 1 Due on Monday, Feb 28 th , 2011. Question 1 (6.1) A certain length measurement is made with the following results: Reading: 1 2 3 4 5 6 7 8 9 10 X(cm): 49.3 50.1 49.0 49.2 49.3 50.5 49.9 49.2 49.7 50.2 a) Arrange the data into bins with width 2 mm. b) Draw a histogram of the data. Solution 6.1 a) Data arranged in bins with width 2mm Question 2 (6.43): A voltmeter is used to measure a known voltage of 100V. Forty percent of the readings are within 0.5 V of the mean value. Assuming a normal distribution for the error, estimate the standard deviation for the voltmeter. What is the probability that a single reading will have an error greater than 0.75V? Solution 6.43 The area from 100 to 100.5 is 0.2. From Table 6.3, z = 0.52 96 . 0 , 100 5 . 110 52 . 0 Probability of error greater than 0.75 Volts: z 100 75 100 096 078125 . . . b) 0 1 2 3 No. Meas. 48.7 48.9 49.1 49.3 49.5 49.7 49.9 50.1 50.3 50.5 50.7 Length range - cm No. meas. 10, bin width 2 mm Bin (cm) Number of Measurements 48.9-49.09 1 49.1-49.29 2 49.3-49.49 2 49.5-49.69 0 49.4-49.89 1 49.9-50.09 1 50.1-50.29 2 50.3-50.49 0 50.5-50.69 1 99.5 100 100.5 20% 20%
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From the normal distribution curve(Table 6.3) for z = 0.7812 P(z) = 0.2826 for error greater than 100.75 or less than 99.25 (100
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Homework1_Sol - MCE311 Homework # 1 Due on Monday, Feb...

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