LAb REPORT

Evengrowth

lab_1_sample.docx

Home >Engineering homework help >Mechanical Engineering homework help >LAb REPORT

EGME 476B

Energy and Power Laboratory

LAB 1 Statistical Analysis of Experimental Data

Feb 16th 2016

Introduction

This lab’s objectives were to use statistical methods to analyze experimental data and determine the nominal density, and uncertainty of density, of cylinders of an unknown material. Most of this lab work and calculations, finding the mean, mode, and median for example, were done using Excel and a data sheet will be attached to the memo.

Experimental Methods

In this lab, the raw data was measured and given to us by professor. To statistically analyze the experimental data, the Excel application was used. All of the objectives in the lab manual can be calculated in Excel quickly and accurately.

Results and Discussion

Mass, diameter, and height histograms:

figure 1

figure 2

figure 3

Central tendency and dispersion measures before elimination:

figure 4

figure 5

figure 6

Central tendency and dispersion measures after elimination:

figure 7

Figure 8

Figure 9

· by using the Chauvenant’s criterion a more accurate calculations are noticed in the figures above

90% confidence intervals:

Mass: Diameter: Height:

.673.015 25.3938.778 15.002.21

98% confidence intervals:

Mass: Diameter: Height:

.673.022 25.39381.12 15.002.30

Central tendency and dispersion measures for the Volume and Density:

figure 10

figure 11

95% confidence intervals:

Volume: Density:

76.56.5.70 8845.3740.72

Uncertainties:

Volume uncertainty = 93.129 cm^3 Density uncertainty = 1.975 kg/m^3

figure 12

Conclusions and Recommendations

In conclusion, using Chauvenant’s criterion and eliminating a row helped with the accuracy of the central tendency and the dispersion measure as noticed in the results section above. Also, for the confidence level, as the percentage increase, a better estimation is found. As for the relationship between the mass and volume, increasing the mass lowers the density because density is the amount of matter filling the object’s space.

References

· Lab manual

· Lab charts

Attachments

::sample Calculations:Photo Feb 16, 11 02 47 AM.jpg

::::Screen Shot 2016-03-23 at 10.20.48 PM.png

Height (cm)

Frequency 14.8 14.85 14.9 14.95 15 15.05 15.1 15.15 More 3.0 1.0 6.0 7.0 11.0 11.0 6.0 2.0 3.0

Bins

number of measurements

Mass vs Volume 0.664 0.675 0.663 0.69 0.667 0.675 0.664 0.668 0.69 0.685 0.655 0.675 0.675 0.69 0.665 0.678 0.658 0.666 0.666 0.677 0.675 0.659 0.688 0.671 0.674 0.665 0.669 0.655 0.677 0.671 0.68 0.675 0.668 0.667 0.674 0.678 0.681 0.685 0.667 0.679 0.682 0.68 0.67 0.66 0.665 0.675 0.685 0.679 0.682 72.6125 69.53019750000001 71.15063375000001 72.66236320000003 75.5237196 75.7143647 76.05649125000001 70.00692800000003 70.915035625 79.599 74.57499999999998 78.09827625000003 79.16290109999998 75.62183282499998 78.11784630000001 76.05649125000001 79.33367 73.59375 82.6899375 76.82216062500002 78.64037370000001 76.56693750000001 74.86812685000001 74.61689152500001 76.311714375 78.64037370000001 72.90376640000002 83.24120375 72.66236320000003 79.86433000000001 73.8390625 76.311714375 73.59375 75.37059749999997 74.08437499999998 76.05649125000001 76.311714375 75.37059749999997 76.05649125000001 75.37059749999997 78.37911000000001 77.85658260000001 76.311714375 75.62183282499998 77.07738375000001 77.07738375000001 76.37553879999994 78.27234999999997 76.82216062500002

Mass (kg)

Volume (cm^3)

Mass (kg)

Frequency

0.655 0.66 0.665 0.67 0.675 0.68 0.685 0.69 More 3.0 3.0 6.0 9.0 11.0 8.0 6.0 4. 0 0.0

Bins

Number of measurments

Diameter (mm)

Frequency 24 24.5 25 25.5 26 26.5 More 1.0 3.0 10.0 24.0 10.0 2.0 0.0

Bins

number of measurments

€

×10−4

´10

-4