trident mat201 all module discussions latest 2016

trident mat201 all module discussions latest 2016

Subject: Mathematics    / General Mathematics
Question

Module 1 discussion

In your own words, define an independent event and a dependent event. Provide an example of each type of event (i.e., using a deck of cards, computer programming, and/or business example). Include two additional examples for your peers to classify (but do not reveal the event). Review and respond to your peers by classifying their examples and providing a reason. Check the replies to see if they are accurate.

Respond substantively to at least two peers in this discussion.

Module 2 discussion

The mean salary is often used to describe the salaries of employees of a company. However, the median salary may be a better measure of the salaries in comparison to the mean. Research a career you are interested in and calculate the mean and median salaries using at least ten data points. Include the calculations and the data source(s). Which is the better measure of central tendency? Why? Review and respond to the comments posted by your peers and offer your insight on this topic. Do you agree or disagree with their selection? Why or why not?

Respond substantively to at least two peers in this discussion.

Module 3 discussion

The number of vacation days taken by the employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? What is the probability that the number of days of vacation taken is more than 21 days? Discuss the solutions and an explanation. Respond to your peers’ posts and offer your feedback on this topic.

Respond substantively to at least two peers in this discussion.

Module 4 discussion

Regression is a commonly used technique in business applications. What is the purpose of a regression analysis? Provide two examples of situations in business, or your field, when regression is used. Explain each situation in detail. Review your peers’ posts and identify the independent and dependent variables in their examples. Further the response by discussing why a regression analysis is useful in their applications.

Respond substantively to at least two peers in this discussion.

Module 4 reflective discussion

Upon successful completion of this module, the student will be able to satisfy the following outcomes:

Discussion

Reflect upon how the course improved your quantitative reasoning.

Discuss how course content applies in personal and professional contexts.

Course Overview

As your study of this course content draws to a close, it is important to step back and reflect on new levels of understanding, skills, and knowledge that you developed as a result of your efforts throughout this course. It is particularly important to reflect on the course outcomes (what you were intended to learn in this course).

Course Outcomes

Identify the meaning of independent and dependent variables (Module 1).

Calculate probabilities and joint probabilities of simple events (Module 1).

Explain the basic logic of probability theory (Module 1).

Calculate the mean, median, and mode from a set of data (Module 2).

Choose the most appropriate measure of central tendency for a particular set of data (Module 2).

Create and interpret information from a box plot (Module 2).

Describe the information provided by the Standard Deviation (Module 3).

Use the Standard Deviation to calculate the percentage of occurrence of a variable either above or below a particular value (Module 3).

Describe a normal distribution as evidenced by a bell-shaped curve (Module 3).

Prepare a distribution table from a set of data (Module 3).

Calculate the variance (Module 3).

Define sampling methods and terminology (Module 4).

Identify situations when sampling is appropriate (Module 4).

Draw the proper inferences about the population after the sample has been evaluated (Module 4).

Describe the process of selecting and evaluating a sample (Module 4).

Explain the effects of a larger sample size in relation to data (Module 4).

Explain Type I and Type II errors (Module 4).

Construct hypotheses (Module 4).

Calculate the test statistic, P-value, and Z score from a set of data (Module 4).

Calculate and explain significance levels (Module 4).

Investigate the use of analysis of variance (ANOVA) and regression (Module 4).

Reflect upon and integrate course concepts (Module 6).

Discussion assignment: Participate in a discussion to reflect upon your progress and discuss how you can apply the course objectives in professional or personal settings.