Math 227 Statistics Project 2 Inferences on Two Population Parameters
In this project, you will draw inferences on comparing two population parameters: proportions, means,
or standard deviations (or variances). You will describe a problem including a general claim made about
comparing two population parameters, collect data, test hypotheses, and construct and interpret a
confidence interval to determine whether the claim made about two population parameters can still be
supported by the samples collected. You will, then, write a report on your findings including all the
required components below and turn in by the stated due date according to the guidelines provided in
this paper.
Required components:
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.
2. Analyze the 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
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
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 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.
4. Summarize
Write a short summary of the main findings that you discovered.
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