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STA215 Introduction to Applied Statistics

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The average grade in a statistics course has been 69 with a standard deviation of 12.5. If a random sample of 50 is selected from this population what is the probability that the average grade is more ...

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First part select question either primary or secondary proposal introduction(quarter page) project slope ( 5 lines) describe what are you covering and not covering and why project objective (5 lines) ...

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Management

Question

Answered

Task 1

Select 40 companies from the excel file called Assessment Data –BloombergFTSE100 and create a data file and make sure you select at least one company from each sector. The spreadsheet contains 22 sectors which are – Household & Personal Products; Materials; Banks; Food, Beverage & Tobacco; Telecommunication Services; Pharmaceuticals, Biotechnology & Life Sciences; Utilities; Insurance; Transportation; Commercial & Professional Services;  Consumer Services; Food & Staples Retailing; Capital Goods; Diversified Financials; Health Care Equipment & Services; Consumer Durables & Apparel; Energy; Retailing; Media & Entertainment; Real Estate; Software & Services ; Technology Hardware & Equipment. 

Make sure for each company you have the data on the 6 variables namely Sector, Price, Operating Expense, Number of Employees, Revenue and Net Profit.           Task 2 

For each of the 5 quantitative variables construct a percentage frequency distribution table and present the data using appropriate charts. Comment on your findings.                                                                                              

Task 3

Prepare a cross tabulation using sectors (rows) and profits (columns). Compute row percentages for the cross tabulation and construct a stacked bar chart showing the percentage distribution of profits within each sector type. Comment on the relationship between variables.                                                                 

Task 4

Compute the mean, median, standard deviation, IQR (Interquartile Range) for the number of employees and comment on your results.   Draw a histogram using the data on the number of employees and calculate the skewness. Comment on the shape of the distribution.                                                                                                                                                                                                                                         

Task 5

Calculate the point estimate of the population mean and population standard deviation of the number of employees. Compare the estimates to the population parameter. 

 Construct a 95 percent confidence interval for the population mean for the number of employees. Interpret your results.                                                                                                                                                                                                                                                                   Task 6

Develop a scatter diagram to analyse the relationship between operating expenses and net profits, where operating expenses is the independent variable and net profits the dependent variable. Comment on the relationship.                                                                                                         

                                                                                                                                                                                                                                                  

Estimate the regression equation using the above variables and comment on the slope variable. 

Find the coefficient of determination (R-squared) and comment on its value.  

Calculate the t-statistic and test whether the slope variable is significant using hypothesis testing. 

 

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STA215 Introduction to Applied Statistics

Question 1. Let X be the length of time patients must wait to see a doctor at a hospital in Mississauga.If X is normally distributed with a mean of 20 minutes and standard deviation of 4 minutes. Hint: UseR when appropriate. (a) What is the probability that a selected patient will wait less than 18 ...

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The average grade in a statistics course has been 69 with a standard deviation of 12.5. If a random sample of 50 is selected from this population what is the probability that the average grade is more than 73? ...

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