MATH 160 CC Statistics Null & Alternative Hypotheses & Population Mean Worksheet

I’m working on a statistics discussion question and need a sample draft to help me understand better.

Progress Check

Use this activity to assess whether you and your peers can:

• Under appropriate conditions, conduct a hypothesis test about a difference between two population means. State a conclusion in context

Learn by Doing

In this activity you will learn to use StatCrunch to perform a two-sample t-test.

Some features of this activity may not work well on a cell phone or tablet. We highly recommend that you complete this activity on a computer.

Use the rubric at the bottom of this page as a guide for completing this assignment.

A list of StatCrunch directions is provided after the Prompt section below.

Directions

Submit your work:

• Carefully read all sections below (beginning with the Context section and ending with the Prompt section).
• Commit a good-faith effort to address all items in the Prompt section below. Please be sure to number your responses.
• If directed to do so, embed all required StatCrunch output in your initial submission. Please do not submit StatCrunch output as an attachment.

Complete your assigned peer reviews:

• After you submit your initial good-faith attempt, continue to the ANSWER(S) page and review your instructor’s response. But please do not submit your corrected work yet.
• Within three days after the due date, return to this assignment and complete your assigned peer reviews (directions (Links to an external site.)).

Submit your corrected work:

• We all learn from mistakes (our own and our classmates’ mistakes). So please do not immediately correct your own mistakes. If possible, wait until you receive feedback from at least one of your peers.
• If necessary, correct your work and resubmit the entire assignment – including any required StatCrunch output. Your instructor will only review and grade your most recent submission, so please do not refer to a previous submission.

Context

Do undergraduates sleep less than graduate students?

A student conducted a study of sleep habits at a large state university. His hypothesis is that undergraduates will party more and sleep less than graduate students. He surveyed random samples of 75 undergraduate students and 50 graduate students. Subjects reported the hours they sleep in a typical night.

For this hypothesis test, he defined the population means as follows:

• ${\mathrm{??1?1?2\; is\; the\; mean\; number\; of\; hours\; undergraduate\; students\; sleep\; in\; a\; typical\; night.}}^{}$
• ${\mathrm{??2}}^{}$

Variables

Hours: typical number of hours a student sleeps each night
Program: undergraduate or graduate

Program is the explanatory variable, and the data is categorical. Hours is the response variable, and the data is quantitative.

Data

Download the sleep2 (Links to an external site.) datafile, and upload the file in StatCrunch.

Prompt

1. State the null and alternative hypotheses. Include a clear description of the populations and the variable.
2. Explain why we can safely use the two-sample T-test in this case.
3. Use StatCrunch to carry out the test. (directions)
   Copy and paste the content of in the StatCrunch output window (text and the table) in your initial post.
4. State a conclusion in the context of this problem.

List of StatCrunch Directions

Each link will open in a new window. To return to this discussion, either close the new tab or select the tab for this discussion.

• Purchase StatCrunch (You only need to do this once.)
• Open StatCrunch
• Download Excel File
• Upload Excel Data File to StatCrunch
• Download StatCrunch Output Window (no screenshots; please use these directions)
• Upload Files to Your Stats-Class Folder in Canvas
• Embed Pictures in a Textbox (no attachments; please use these directions)
• Copy & Paste a StatCrunch Table
• Conduct a Hypothesis Test for a Difference in Two Population Means

Content by the Open Learning Initiative (Links to an external site.) and licensed under CC BY (Links to an external site.).

Rubric

Peer Reviewed Assignment w/ StatCrunch

Peer Reviewed Assignment w/ StatCrunch

Criteria	Ratings	Pts
This criterion is linked to a Learning OutcomeAddressing the Prompt	6 pts Full Marks All parts of the Prompt are addressed. Answers are correct. Statistical vocabulary is used appropriately. Writing is clear and thought process is easy to follow. 4 pts Partial Credit Some parts of the prompt are not addressed, are incorrect, or are unclear. 0 pts No Marks The prompt is not addressed.	6 pts
This criterion is linked to a Learning OutcomeStatCrunch Data	2 pts Full Marks Appropriate StatCrunch graphs and/or tables are provided as directed. 1 pts Partial Credit StatCrunch graphs and tables are inappropriate or missing important information. 0 pts No Marks No StatCrunch information is provided.	2 pts
This criterion is linked to a Learning OutcomeIndividual Penalty	0 pts No individual penalty -1 pts Individual penalty. Please see the instructor comments for more information.	0 pts
This criterion is linked to a Learning OutcomePeer Reviews	2 pts Full Marks You completed all assigned peer reviews (maximum of 2). For each peer review, the points you assigned in the rubric are appropriate. You included comments explaining the score you posted in the rubric. If you deducted points in the rubric, your comments explain what the author needs to do to earn a higher grade when the teacher grades the assignment. 1 pts Partial Credit Committed a good-faith effort to provide a high-quality peer review, but many necessary instructive comments are missing. 0 pts No Marks No peer review provided or the comments are not instructive.	2 pts
Total Points: 10