Please note that this question consists of six parts. You may use MINITAB to find a final answer. However you MUST show all the mathematical work to get to the final answer. Just giving the answer without adequate work/explanation may result in zero for the question.  A social scientist believes that the mean number of people per household has decreased. He is interested in testing if the true mean number of people per household is less than 2.8.  To test his hypothesis, he collected data from a random sample of 36 households and found that the sample mean number of people per household to be 2.2 with the sample standard deviation 1.25. Set up the appropriate null and alternative hypotheses for testing the scientist’s question.  Is/are the condition(s) to carry out the above test satisfied? In addition to answering yes or no, clearly state the condition(s) and explain how you check.   Calculate the test statistic. Show your calculations.  Find the rejection region for the test defined in part 1 using 5% significance level. Clearly state the rejection region (it is not sufficient to provide just the critical value). Write the final conclusion in the context of the problem.  Based on the decision you made in part 5, which error (type I or type II) is possible? Explain.   

In a large university, the administration is planing on increasing the student fees with the intention of using majority of the funds towards renovations in the football stadium. Administration wishes to estimate the true proportion of students who support the idea. How many students should be sampled if the administration wants to be 99% confident with a margin of error no more than 5%. 

When you host a mediation, who needs to sign a confidentiality form?  When do they need to sign it?  

During the mediation, parties are allowed to take photos of the board/chart notes 

How does a representative of a large business view mediation, compared to an individual (or the owner of a small business)?   How might that impact the mediator you select?   

Which of the following words is generally better for a mediator to use during a mediation

If conducting a brainstorming session during option generation, if you see a potential flaw with an option proposed by one of the parties, to keep the session on track, you should immediately pause the brainstorming session and communicate where you believe there is a flaw.  

When one of the parties to a mediation alleges “general” negative statements, it is good mediator practice to ask them for examples.  

In a mediator’s opening statement, you as mediator can acknowledge to the parties that it’s okay to have feelings about what’s going on.

To have _________________, it means not having any interest or benefit in the outcome of the case. Mediators must remain impartial in order to facilitate trust and keep the process moving forward.