MM305 UNIT 4 PROJECT Name: Directions: The following software may be used: o Excel->Data Analysis o Excel QM o PhStat Please make sure to insert your answers, including any charts, graphs, or output, on this document. You may be required to also upload original files from Excel. The calculations are not your final answer. A summary/explanation in your own word for each question posed should be included. Questions 1,3,6,7 and 11 require the use of the Salary Data File. The Salary Data file is located in Doc Sharing->Instructor Graded Projects. Be sure to put your name on this document and save it to your computer. Upload this Word document as your Unit 4 submission in the course Drop Box. Submitting Your Project: Save your project in a location that you will remember and with your full name. When you are ready to submit your project, click on the Dropbox and complete the steps below: Click the link that says, \"Submit an Assignment.\" In the \"Submit to Basket\" menu, select Unit 4 Project. In the \"Comments\" field include your name. Click the \"Add Attachments\" button. Follow the steps listed to attach your Word Document. You should revisit the Dropbox to view any helpful feedback your instructor has and to retrieve your graded project. Make sure that you save a copy of your submitted project. 1 MM305 UNIT 4 PROJECT 1. For each the following variables from the Salary Data Set provide the measures of location and measures of dispersion for the following variables: 1. Beginning Salary Answer: . Explanation (include any calculations or software output): 2. Previous Experience Answer: . Explanation (include any calculations or software output): 3. Which variable has the greatest relative variability? Answer: Explanation (include any calculations or software output): 2 MM305 UNIT 4 PROJECT 2. You are the manager of a high-end ladies fashion store. For the past few months you have been gathering data and found that 55% of persons entering the store actually make a purchase. Assume these data follow a Binomial Distribution and use Excel to calculate the following binomial probabilities: 1. If 15 people enter the store, what is the probability that exactly 8 of them will make a purchase? Answer: . Explanation (include any calculations or software output): 2. What is the probability that more than 8 of the 15 people will make a purchase? Answer: . Explanation (include any calculations or software output): 3 MM305 UNIT 4 PROJECT 3. Using the Salary Data Set what is the probability of randomly selecting one individual (male or female) with a current annual salary of over $40,000? Answer: Explanation (include any calculations or software output): 4. The time required to complete a project is normally distributed with a mean of 77 weeks and a standard deviation of 4 weeks. The construction company must pay a penalty if the project is not finished by the due date of the contract. If a construction company bidding on this contract wishes to be 95 percent sure of finishing by the due date, use the NORMINV Excel Function to determine what due date (project week #) should be negotiated? Answer: . Explanation (include any calculations or software output): 4 MM305 UNIT 4 PROJECT 5. In a state lottery participants select 8 numbers between 1 and 49. At the end of the week, the state lottery commission randomly draws 8 numbers between 1 and 49. How many different possible winning number combinations could be drawn by the lottery commission? Answer: . Explanation (include any calculations or software output): 6. From the Salary Data Set and assuming that the salary data is a random sample from the population of salaries from the multi-national company use the 95% confidence level in PHStat to estimate the mean beginning salary for company executives. 1. The 95% confidence level interval is: Answer: Explanation (include any calculations or software output): 2. If you were to change the confidence level to 99%, what would happen to the confidence interval? What is the 99% confidence interval? Answer: . Explanation (include any calculations or software output): 5 MM305 UNIT 4 PROJECT 7. Using the Salary Data Set, 1. 2. Create a scatter plot to show this relationship between education and current salary Determine the correlation coefficient between the variables. What does this tell us about the relationship? Answer: . Explanation (include any calculations or software output): 8. Explain why rejecting the null hypothesis does not make the alternative hypothesis true. Answer in your words: 9. What is the purpose of statistical inference? Answer in your words: 10. What is the difference between sampling error and the standard error of the mean? Answer in your words: 6 MM305 UNIT 4 PROJECT 11. You are a consultant working for Kaplan Consulting. The Director of Human Resources for a multi-national company has requested help in investigating a pay discrimination complaint brought by a female executive. The company provided the data in the Salary Data Set. Use PHStat and the appropriate t test, to investigate the claim of pay discrimination in the Beginning Salary. \"Is there a significant difference between the average female and average male salaries?\" 1. What is the Null and the Alternative Hypotheses? Ho: Ha: 2. What is your level of alpha ()? Answer: Why did you choose this level? Please explain in terms of Type I or Type II errors. 3. What is the output from your analysis? Software output or calculations: 4. What is your decision about the hypothesis based on the software output? Answer in your words: 5. Is there a significant difference between the average female and average male salaries? Please write a written statement to the director of Human Resources as to whether they should be concerned about the complaint. Answer in your words: 7