# MM 305 MM305 MM/305 Unit 4 Project (Kaplan)

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

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**:

Using the **Salary Data Set** what is the probability of randomly selecting one individual (male or female) with a **current annual salary** of over $55,000?

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 **combinations** could be drawn by the lottery commission?

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**.

Using the **Salary Data Set**,

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**. **Use PHStat** and the appropriate t test, to investigate the claim of pay discrimination in the current salaries. Be sure to include: