Explain how you randomly chose the 25 values. (May want to review sampling in Module 1)

Statistics Project – Part 2
This project is designed for a student to demonstrate their ability to:
organize and summarize data using a grouped frequency table;
construct graphic summaries of data;
compute descriptive statistics on a data set;
conduct a hypothesis test on a data set.
In part one you completed the first 2 items above.
In this second part, you’ll complete that last 2 items above: compute descriptive statistics on the data set you chose in part 1, and complete a hypothesis test.
Step 1: Take a Sample
Create a file in your favorite word processing software like Word or Google Docs, or Pages.
From the data set you chose in Part 1, randomly select 25 data values and enter them into a 5×5 table in your document – label this table with a description of what the data represents.
Explain how you randomly chose the 25 values. (May want to review sampling in Module 1)
Step 2: Compute Descriptive Statistics
Compute the mean and standard deviation for the sample of 25 values you randomly selected.
Step 3: Perform a Hypothesis Test
Copy the statement you made about guessing/estimating the mean of the data set in Steps 4/5 of Part 1.
That statement from Part 1 is what you will base your hypothesis test on – you will test your guess/estimation from Part 1.
State the level of significance, alpha, you have decided to use for the test (you choose the level)
State the null H0 and alternate H1 hypotheses with words/sentence and and then state them again using symbols. (If you don’t know how to get a symbol like μ or other symbols into your document file, please Google how to do it).
An example:
H0: The mean average age per state in the US is 32, μ=32
H1: The mean average age per state in the US is not 32, μ≠32
State whether the test is left-, right- or two-tailed
State whether you need to use the normal (z) or Student’s t-distribution and why. If Student’s t, also state the degrees of freedom.
Compute the test statistic and p-value.
Determine the critical value/values.
In one or two complete sentences, explain what the p-value means for this test.
Use the above information to sketch a picture of this test on the curve below– shade the rejection/critical region(s) and label where the test statistic is in relationship to the rejection/critical region(s). You can copy and save the image below to your document and then use annotation/drawing tools, or you can create one by hand, complete the shading and labeling, and then upload a picture to your document. Please be sure that the image is clear and legible.
Decision and Conclusion:
Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it,
and write an appropriate conclusion about this test using complete sentences. Include all three of the following
Alpha:
Decision and reason for it:
Conclusion:
Step 4: Create, Complete, Save, and Submit your Part 2 Project File
Create a file in your favorite word processing software like Word or Google Docs, or Pages.
Save the file with the following format LastnameFirstnamePart2Fall21 (For example: SmithJoePart2Fall21)
At the top of the first page, type your name and describe the data set you are analyzing.
Include all the information requested in steps 1-3.
Save the file as a PDF – this is the only file type accepted.
Upload the file as a submission
Rubric

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