**Discussion**

In hypothesis testing we must balance the 2 types of errors, Type I and Type II. This is not unlike what happens in a jury trial. This week we will discuss the similarities and differences between hypothesis testing and the trial of a defendant. Here are some suggestions of ideas you might discuss: how difficult is it to balance the two types of errors? how is a null hypothesis similar to the assumption of innocence in a jury trial? Is it possible to prove a hypothesis true or false? Is it possible to prove innocence or guilt? What about the burden of proof?

Parameters: Initial discussion posts must be made by Wednesday of each week. In addition,at least two classmate replies should be posted all on separate days. Each response must be a minimum of four complete sentences with no spelling or grammatical errors. In addition, a student contribution must add value to the discussion. A post is determined to be of substance by containing information that supplements, contradicts, questions, or furthers the discussion. Responses such as “me too” and “I agree” and responses not related to the subject of the discussion are not considered to be substantive. Students are encouraged to post references to outside sources using proper APA citations.

**Assignment**

Assignment Description: Are men on Match.com shorter than men in general?

Purpose: For our assignment this week, we will test the claim that men with profiles on Match.com are shorter than the average height for all men in the United States.

A sample of 71 males was chosen by recording the heights of every 18th male between the ages of 30 and 50 within 5 miles of my zipcode. The heights are included in the attached excel spreadsheet.

Description: Using this information, answer the questions below to conduct a hypothesis test to determine whether men with profiles on Match.com are shorter than the average height of all males in the United States.

1. What type of sampling was used here?

2. What are the mean and standared deviation of the sample?

3. Research to find the average height of all men in the United States. This will be our population parameter. You can use the average from the week 3 discussion question.

4. Write the hypotheses H0 and Ha to test that men on match.com are **shorter** than the average height for all males.

5. We will use a z-test for our hypothesis. Why do we use this type of test?

6. Show calculations for the test statistic.

7. What would be the p-value?

8. Choose an alpha,α, value. Why did you choose this value?

9. Will we reject or not reject the null hypothesis?

10. What are your conclusions? Are men on Match.com statistically shorter than the average male?

Parameters: Include certain requirements for the satisfactory completion of an assignment like proper incorporation of APA 6th edition, page length (APA formatting pages do not count in this total), number of citations, etc. This can also be a grading rubric.

Each question is worth 5 points for a total of 50 points

** **

Subject | Mathematics |

Due By (Pacific Time) | 04/12/2015 03:00 pm |

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