# For-each-the-following-variables-from-the-Salary-Data-Set-provide-the-measures-assignment-help-

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. 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. 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):**

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:**

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**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):**

7. Using the **Salary Data Set**,

1. Create a **scatter plot** to show this relationship between education and current salary

2. 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:**

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**.

**â€œIs there a significant difference between the average female and average male salaries?â€**

- What is the Null and the Alternative Hypotheses?

**Ho: **

**Ha:**

- What is your level of alpha (Î±)?

**Answer:**

**Why did you choose this level? Please explain in terms of Type I or Type II errors.**

- What is the output from your analysis?

**Software output or calculations: **

- What is your decision about the hypothesis based on the software output?

**Answer in your words:**

- 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:**