Statistics project
nanoor
Math227Project2Scoresheet.pdf
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Math 227 Project 2 Inferences on Two Population Parameters‐Score Sheet (Total 100 points)
Name:________________________________________ Date:__________________________________
Title of the project: ____________________________________________________________________
Website where you found the data:_______________________________________________________
Project Grade: __________________________________
Required Tasks Grading criteria Comments/Scores
1. Understand the Problem a) Select a parameter of your choice: proportion, mean, or
standard deviation, for which a general claim can be (or has been) made. Please try to decide on something that you are interested in knowing about. Who (what) are the two populations you want to compare?
b) Describe the problem including a general claim made about two specific populations:
c) Identify any relevant variables to the above problem: Are these variables categorical or numerical?
d) Collect either categorical or numerical data from two relevant samples. You must collect at least 30 data values from each sample. Discuss how your data has been collected and whether you were able to collect a random sample of data. If a random sampling was not possible, please explain why not.
1. Explanation of your topic and appropriate responses in step 1 Understanding the problem [10 pts]
2. Analyze the paired Data a) What parameter is being compared?
_________________________ b) What is the response variable in the problem?
c) Is sampling dependent or independent? d) Provide appropriate numerical measures and graphical
displays in answering the problem. e) Discuss whether required conditions are met to test
hypotheses depending on the parameter being addressed.
f) Test hypotheses using 0.05 Determine the null and alternative hypotheses. Use
proper symbols.
Use technology to find the test statistics Use technology to find the P‐value. Provide the
meaning of the P‐value about your problem. Also, provide a list of steps in finding the P‐value using StatCrunch.
Make the decision on whether to reject the null hypothesis or not. Provide a statement about the significance of the sample difference and determine whether the claim made about two population parameters can still be supported by the samples collected. Do you think the population have the same parameters and the
2. Relevance and completeness of the analysis of the data including appropriate responses in step 2 Analyze the paired Data [50 pts]
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difference of sample statistics just happened due to sampling variability (random chance) or do you think the sample difference is indeed significant and it suggests that the population parameters are more likely be different? Explain according to the P‐value.
State the conclusion about the claim. g) Construct and interpret a 95% confidence interval for the difference between two population parameters
State the confidence interval. Also, provide a list of steps in constructing the confidence interval using StatCrunch.
Interpret the confidence interval about your problem.
Does the confidence interval support the conclusion of the hypothesis testing?
3. Draw Conclusions a) What do the results you got indicate about the inference
on comparing two population parameters? Decide whether the claim made about two population parameters can still be supported by the samples collected. Explain using the results of the hypothesis testing and the confidence interval.
b) If it is relevant or meaningful in context, think of a way that these results could be used in practice.
3. Completeness and appropriateness of drawing conclusions in step 3 Draw conclusions [20 pts]
4. Summarize Write a short summary of the main findings that you discovered.
4. Clear summary of the main findings in step 4 Summarize [10 pts]
5. Overall quality of the report 5. Overall quality of the report and adherence of the project guidelines [10 pts]
