ECOR 1010 LAB 5
1 ECOR 1010 – Introduction to Engineering
amr shehadah
Assignment #5
Assignment Title: Univariate Data
TO Marking TA:
Name: Omer foaud
Email: omerfoaud@cmail.carleton.ca
Room: ME2256 – Carleton University
FROM:
Email: amrshehadah@carleton.ca
Student Number: 100903516
Number of Figures and Tables: 1 Figure and 3 Tables
Last Date and Time of Revision: 06 November 2012
Introduction
This report will analyse and discuss 45 given sizes of a dimension on a knob. A histogram and a table will be used to discuss the probability of the production of knobs within the accepted value. This report will also state and present the sample variance, sample mean, sample standard deviation, standard error, and the population mean confidence interval as well. These properties were also reported from Microsoft Excel.
Methods
The histogram was used in order to show the frequencies that were calculated from the dimensions in an order of every two subsequent numbers. The sample mean, sample variance, sample standard deviation, and standard error were calculated using manual and automated ways in MS Excel. In the end, both results were compared and found to be similar.
Results
The sample mean was found to be 142 thousands of an inch. The standard deviation was found to be 3.78, while the standard error was found to 0.563. The measure of 0.114” (step 3) was classified as an outlier after thorough examination because it completed deviates from the rest of the data and also because it does lie between 99% of the other values.
Discussion
The automated calculations performed by excel produced numbers almost the same values as the manual calculations because no rounding was applied until the final answer. Although the randomly generated values have a lower sample mean than the actual data, the sample variance, standard deviation, and standard error were all consistently higher than the actual data. This could be minimized by increasing the number of
amr shehadah
Assignment #5
Assignment Title: Univariate Data
TO Marking TA:
Name: Omer foaud
Email: omerfoaud@cmail.carleton.ca
Room: ME2256 – Carleton University
FROM:
Email: amrshehadah@carleton.ca
Student Number: 100903516
Number of Figures and Tables: 1 Figure and 3 Tables
Last Date and Time of Revision: 06 November 2012
Introduction
This report will analyse and discuss 45 given sizes of a dimension on a knob. A histogram and a table will be used to discuss the probability of the production of knobs within the accepted value. This report will also state and present the sample variance, sample mean, sample standard deviation, standard error, and the population mean confidence interval as well. These properties were also reported from Microsoft Excel.
Methods
The histogram was used in order to show the frequencies that were calculated from the dimensions in an order of every two subsequent numbers. The sample mean, sample variance, sample standard deviation, and standard error were calculated using manual and automated ways in MS Excel. In the end, both results were compared and found to be similar.
Results
The sample mean was found to be 142 thousands of an inch. The standard deviation was found to be 3.78, while the standard error was found to 0.563. The measure of 0.114” (step 3) was classified as an outlier after thorough examination because it completed deviates from the rest of the data and also because it does lie between 99% of the other values.
Discussion
The automated calculations performed by excel produced numbers almost the same values as the manual calculations because no rounding was applied until the final answer. Although the randomly generated values have a lower sample mean than the actual data, the sample variance, standard deviation, and standard error were all consistently higher than the actual data. This could be minimized by increasing the number of