(a) By reference to numerical summary measures in the Descriptive Statistics table obtained in Task 5, provide three pieces of distinct evidence that might suggest that your sample “Sold Price” data...

(a)    By reference to numerical summary measures in the Descriptive Statistics table obtained in Task 5, provide three pieces of distinct evidence that might suggest that your sample “Sold Price” data has been obtained from a normally distributed population.  What is your conclusion?  Note:  Make sure your three pieces of distinct evidence only contain one relating to the shape of the sample data.


(b)    Regardless of your conclusion in (a), assume your sample “Sold Price” data have been obtained from a normally distributed population, and calculate, using Standard Normal tables, approximately how many “Sold Price” data values in your sample you would expect to lie within 1.5 standard deviations of the mean (i.e. between z = –1.5 and z = +1.5).



(c)    Use your sorted “Sold Price” sample data from Task 4, and the mean and standard deviation from the Descriptive Statistics table of Task 5, to manually count the number of “Sold Price” data values in your sample that lie within 1.5 standard deviations of the mean.  State whether this count matches, approximately, your answer to (b) and hence whether this result confirms (or not) your conclusion in (a).