Instructions. This project assignment consists of two problems, and it is due by Thursday night on May 5. The relevant E

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Instructions This Project Assignment Consists Of Two Problems And It Is Due By Thursday Night On May 5 The Relevant E 1 (87.88 KiB) Viewed 21 times

Instructions. This project assignment consists of two problems, and it is due by Thursday night on May 5. The relevant Excel and Matlab data files are in the Files section on Canvas. You are allowed to collaborate in pairs or groups of size three, and submit the assignment jointly. In that case, one group member can submit the resulting solution document with the names of the collaborators on the first page (or in the comments section on Canvas). You may also choose to upload your document individually by stating names of your collaborators, if any. Please don't upload Excel files as the graphs on Excel files don't show properly when uploaded on Canvas Assignments. Moreover, don't include redundant data sets in your submission. 1. This problem is about working with a random sample from a supposedly normal population. The sample data is randomly generated with Matlab. Assume that XN014, c) approximately, where both x and 02 are unknown and can be estimated using some suitable point estimators. For example, if we are given a random sample of n observations, then we can estimate by the sample mean X and estimate o? by the sample variance S Now, assume that we are given a random sample of size n = 200 from this population'. Check the Files section-> Projects -> Project 2 folder on Canvas for the Excel file DataNorm.xlsx. The sample data is in column A of the worksheet RandomNum. Similarly, DataNorm.mat file includes the corresponding Matlab data file that you can upload to Matlab (by first downloading the file to a folder in your computer and then using Import Data menu item in Matlab). (a) Obtain a histogram of the data set. For this, you can use Excel (eg, using "Insert" item for a suitable histogram where bars touch each other), or you can import data set as a column vector in Matlab and use "histogram" function of Matlab. You can save the resulting figure image as a pdf, png or jpg file, among others. Export this image file to your project document but don't include the original data set (to avoid redundant pages). Then comment on its shape (c.g. symmetry versus skewness properties, whether there are any outliers etc.). In particular, can you also tell whether it is roughly bell-shaped? (b) Now, using technology (Excel, Matlab, Google Sheets, etc.), determine the sample mean and sample variance of the data set. Then, compute their approximate standard errors (using formulas given in class). In other words, estimate og and osa values as measures of uncertainty in estimating the mean and variance from the sample data. (c) Obtain a normality plot (QQ plot) of the data set. What can you infer about potential normality of the data set from this graph? Explain. A