Please message me thier are guidelines and rules and I would like to talk to you about it thanks
FINAL PROJECT REQUIREMENTS
You are to collect a quantitative response variable for samples from each of two groups. The groups can be different types of people (e.g., Males & Females, Stay-at-home Moms & Working Mothers, etc.), different types of things (large paper helicopters & small paper helicopters, etc.), different processes (studying with the TV on & studying at your desk in a quiet room).
You will then write a report and develop a short 5 min presentation. The report will contain the data, your hypotheses and data analysis. Other important information to be included is listed in “The Scientific Approach” handed out in class.
At several points during the term we will discuss the Final Project using the Helicopter experiment as an example. Also I have available some past Final Reports that you will be able to look at to help you determine how you want to go about the write-up. I am not providing you with a specific template to follow.
Final reports don’t have to be typed. Good reports have the appropriate charts and graphs to help the reader see your approach and conclusions.
Final presentations can be powerpoint presentations, posterboard displays, or overhead presentations. Content is more important than pizzazz. The goal is not to just stand up and talk. You should “present” something, namely the important highlights of your study. If your study involved groups of items, examples of them would be good to bring in.
THE SCIENTIFIC APPROACH
Formulate the problem: What is it that you want to study? Why is it of interest? What is your hypothesis of what is going on? What are the possible benefits of the outcomes of the study? Why are you interested in the study?
Specify the variables to be measured (i.e., the responses): What things need to be measured to enable you to check out your hypotheses? Can they be measured? How will you measure them?
Agree on the factors & levels to be used in the experiment: What characteristics do you want to study, either internal to the experimental units or external to them. (In the context of Math 160, what 2 groups do you want to study and what do they represent?)
Define the inferences space for the experiment: To what population do you want your results to apply? Do you have to make any assumptions to make the inference?
Randomly select the experimental units: How will you sample from your 2 groups? Will you use random sampling or will you use some other method to select your experimental data, e.g., pseudo sampling schemes?
Design the experiment: Generate the experimental design using appropriate methodology. What is the structure of the experiment? (In the context of Math 160, you need to determine if the groups are independent or if you will be using paired comparisons.)
Develop the math model & evaluate the design, redesigning if necessary: What differences are detectable by the experiment? Is this good enough? (In the context of Math 160, this step is not necessary. However, sample size calculations may be helpful for more advanced students.)
Collect the data: How did you collect the data? Were there any problems? If so, how did you handle the problems?
Analyze the data: Apply the appropriate analysis method or methods.
Formulate your conclusions: What does the data analysis tell you about your hypotheses? What recommendations would you make? Can you make any predictions regarding future observations?
Validate your conclusions: Will you make any confirmation runs to support your conclusions? (In the context of Math 160, this does not apply)
Implement the results: Use the information you’ve collected to make the world a better place.
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Case III: Two independent samples, a & a 2 unknown and unequal AND
both groups normally distributed or both samples> 30
Hypothesis Test (under assumption that ii1=2): (2-SampTTest)
Confidence Interval: (2-SampTlnt)
( tdf where df is defined as above
Case IV: Two dependent (paired) samples, either normally distributed or n
>30
For each pair, calculate the difference dx 1 -x2 . The calculate the simple
mean and standard deviation of these differences, J and 5d•
Hypothesis Test (under assumption that true mean difference = 0): (Ttest)
d Sd
t=— wheres= —
S
Confidence Interval: (Tinterval)
± tn_I S
Case V: Two large and independent samples for binomial proportions
Hypothesis Test (under the assumption p 1 =p2):(2-PropZTest)
z = where sP’ PZ = p(1 — p)(] + 1 ) and
p = x, + x2 — n, p, + n 2 p2
s n , nz n, + n2 n, + n2 P1 – P2
Confidence Interval: (2-PropZlnt)
(p, – p 2 )±zs where this time s A-Pz — ,I p ^ (I + —p,) p
2(1—pz)
V
Case VI: Two independent sample that aren’t normal and both samples
sizes are < 30
Drop back 15 and punt.