Provide ONE realistic management example of each type of hypothesis (1 tail upper, 1 tail lower, and 2 tailed). Do not use the same scenario for all three! Part of your grade will be also based on how creative and relevant your test would be in the real world. Your description should be a credible business scenario (no more than one paragraph) and that it would be worthwhile if we paid you to do this. For items 1 to 3 use your imagination and come up with a made up decision that you need to make. First, you must tell me and the class, what is your population of interest (N), and very briefly your sampling methodology (random? or other variation, how you would select from the population, survey?and sample size, n). Tell me what management decision you will if you are able to reject Ho and accept Ha. If you do a survey don't tell me all the questions you are going to ask but just the ONE you will use to measure the vairable of interest. This information can be provided in one short paragraph. Just give me the basics and "paint a picture" so we can visualize your actual steps to really, really, do this if this was for real. Please do not reference the Internet or go into a long management scenario like I did in my example but a short explantion of what you want to accomplish. ONLY USE QUANTITATIVE Data IN YOUR EXAMPLES!! If you don't know the difference between quantitative and categorical/qualitative then review! Do not use categorical/qualitative!! Do NOT use percentages. We are not testing for p but for u!!! Do not use percentages!!!! I had to mention this because historically about 15% of the students will ignore this or use monetary examples. Use the numbering format in our answers (1a, 1b, 2a, 2b,etc) that you see below. You can copy and paste the example below and then modify. Item 1: One- tail (upper): Label 1a, 1b, 1c etc. (use format below) BEFORE YOU PRETEND TO DRAW THE SAMPLE. 1a. Preparation: Explain the problem you would test for (make up numbers) and state the hypotheses in both numeric and narrative form. Briefly explain why this would be a upper tailed test. At this time you have not collected any data in your pretend scenario. State what course of action your management team will make if (1) Ho is rejected. 1b: Sampling: explain exactly what is the population of interest and the basic procedures you will take to select a sample from the population. Don't be vague, describe the mechanics of selecting the data and the sample size (n) and this can be done in a few sentences. Before you pretend to take a sample state the rejection value for alpha at .05 or the rejection value for .1, .05 or what every alpha you will use based on the amount of risk you are willing to take. So the alpha criteria will have an associated z or t value (t for n 30 or less). Once the sample is drawn you will compare this z or t value associated with an alpha level (like .05) with your test statistic. If you are taking a survey only tell me the question you will be using to measure the variable of interst. Don't tell me about the other questions, just one! Also, try to have a simple random methodolgy...make it easy on yourself! NOW PRETEND YOU HAVE DRAWN THE SAMPLE. 1c. The data: pretend you now have the sample; State the test statistic and again the rejection value for alpha at .05. Just make these up but be sure they are consistent with either rejecting nor not rejecting Ha. Be sure to use the words, "fail to reject" or reject Ho and a one sentence of the management action you will take. You will also make up a p value and again show again why you would reject or fail to reject Ho. Most importantly, tell us your management course of action (COA), Do no calculations or list any formulas. Justify why this would be worth testing so stay away from frivolous examples. Include you sampling methodology and management decision you will make if you can accept Ha (see the paragraph above Item 1). Item 2: One-tail (lower) Use the same format as above, 2a, 2b, 2c and include the same elements as in 1. Item 3: Two- tail: Use the same format as above, 3a, 3b, 3c. Explain clearly why this must be a 2T test (see module3, lesson4, and textbook). I suggest base it on a quality control problem. If you care about something be too little or too much do NOT use 2T! Do no calculations or list any formulas. Justify why this would be worth testing so stay away from frivolous examples. Include you sampling methodology and management decision you will make if you can accept Ha (see the paragraph above Item 1). Many students do poorly on this because they do not simply think of a QC scenario. Caution: often students do poorly on item 3 because they are not using a QC example. Answer three more questions: Item 4: In a short answer (if possible) explain why as the preceding forms show, the equality part of the expression (either >=, <=, or =) always appears in the null hypothesis. Why is this true? Item 5: What do/may Type I and Type II errors have to do with the type of test you might conduct (upper or lower tail) or the selection of the level of significance? Item 6: Explain why the phrase "we accept the null hypothesis (Ho) is always is an incorrect statement." â—¦What Does a p Value Mean? â—¦p Value is About the Probability of the Data, Not of the Hypothesis â—¦What is Statistical Significance? â—¦The Fish and Chip Guy Won't Accept the Null Hypothesis â—¦Basketball Players Won't Accept the Null Hypothesis â—¦How does Statistical Testing Work? Label each one of the above as Item 1, 2, 3, etc. Your posting will then be labeled 1., 2, 3, etc.

Subject | Mathematics |

Due By (Pacific Time) | 11/08/2015 07:00 pm |

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