# Statistics

**Paper, Order, or Assignment Requirements**

Unit 4 PROJECT

The Unit 4 project is located in Doc Sharing. You should download this Word document as well as the MM305 Project Data Sets and save them to your computer (I recommend you create a file for your MM305 projects), using your name in the file name. For example, if Jimmy Buffett were to download the MM305 Unit 4 project he would use “Save As” and save the project as “Jimmy Buffett Unit 4 Project”. He would save this file in his MM305 folder. After completing the Unit 4 project you should submit it using the Unit 4 Project Dropbox.

Submitting your Project:

When you are ready to submit your project, click on the Unit 4 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 at least the file name of your project.

•Click the Add Attachments button.

•Follow the steps listed to attach your Word document.

•To view your graded work, come back to the Dropbox or go to the Gradebook after your instructor has evaluated it. Click the Dropbox to access it.

. For each the following variables from the **Salary Data Set** provide the measures of location and measures of dispersion for the following variables:

**Previous Experience****Education****Which variable has the greatest relative variability?**

- You are the manager of a high-end ladies fashion store. For the past few months you have been gathering data and found that 45% 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**: **If 15 people enter the store, what is the probability that 9 of them will make a purchase?****What is the probability that at least 6 of the 15 people will make a purchase?**

- Using the
**Salary Data Set**what is the probability of randomly selecting one individual (male or female) with aof over $55,000?__current annual salary__

- The time required to complete a project is normally distributed with a mean of 80 weeks and a standard deviation of 5 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 90 percent sure of finishing by the due date, use the
**NORMINV Excel Function**to determine what due date (project week #) should be negotiated?

- In a state lottery participants select 6 numbers between 1 and 49. At the end of the week, the state lottery commission randomly draws 6 numbers between 1 and 49. How many different possible winning number
could be drawn by the lottery commission?__combinations__

- 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 90% confidence level in PHStat to estimate the.__mean current salary for company executives__ **The 90% confidence level is:****If you were to change the confidence level to 95%, what would happen to the confidence interval?**

- Using the
**Salary Data Set**,

- Create a
**scatter plot**to show this relationship between education and beginning salary - Determine the
between the variables__correlation__

- Explain why rejecting the null hypothesis does not make the alternative hypothesis true.

- What is the purpose of statistical inference?
- What is the difference between sampling error and the standard error of the mean?

- 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**.and the appropriate t test, to investigate the claim of pay discrimination in the current salaries. Be sure to include:__Use PHStat__ **Your null and alternative hypotheses;****The level of alpha you elect to use and**__why in terms of Type I or Type II error__;**Show the output from the analysis;****Your interpretation of the results; and****A written statement to the director of Human Resources as to whether they should be concerned about the complaint.**

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