Investigate how statistical and probability techniques

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Reference no: EM132786003

Assignment: Using statistics and probability techniques to solve engineering problems

Purpose of this assignment:

Investigate how statistical and probability techniques can be used to solve engineering problems

Scenario:

You have applied for a work placement at a local company as part of your training as a [enter specific route] Engineer. The company Training Manager has explained that there are a number of roles available that involve applying mathematical skills and knowledge. The Training Manager has said that they would like to see how you approach solving engineering problems before deciding on the most appropriate one for you. The final set of problems that they have provided are based on statistics and probability techniques, which they would like you to solve using the supplied data.

The Training Manager has asked you to use the data for Candidate number [write in candidate number]

1. Use the ungrouped data that you have been supplied with to complete the following:
Use table 1 given below and use your given set number
(a) Arrange the data into equal classes
(b) Determine the frequency distribution
(c) Draw the frequency histogram
(d) Create a cumulative frequency table for the data
(e) Draw the cumulative frequency graph
(f) Use your cumulative frequency graph to determine if the data is normally distributed or not?
(g) Calculate:1)the mean and standard deviation; 2) the upper and lower quartile values; 3) the inter-quartile range for the given data. Use table 2 given below and use your given set number

2. Use the table of measurements of length and force that you have been supplied with to complete the following activities:
(a) Draw a scatter graph for your given data.
Describe what the scatter graph is indicating.
(b) Use the scatter graph to estimate the length for a force of 57N
(c) Calculate the line of regression of extension on force (Y on X)
(d) Calculate the regression coefficient
(e) Explain what the regression coefficient indicates?
(f) Use the equation for the line of regression to predict the length for a force of 57N
(g) Compare the calculated value with the value that you have determined from the scatter graph.

Reference no: EM132786003

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