5-1 Discussion: Applications of Two-Sample Tests

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Mathematics

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For your initial post, choose one of the following two prompts to respond to. Then in your two follow up posts, respond at least once in each option. Use the discussion topic as a place to ask questions, speculate about answers, and share insights. Be sure to embed and cite your references for any supporting images.

Write a confidence interval or hypothesis test problem using one of the options below. For whichever option you choose, gather appropriate data and post your problem (without a solution) in the discussion topic. You may add another sample to the data that you gathered in your Module Three Discussion Topic post. Allow time for your classmates to post their solutions, and then respond to your own post with a solution for others to check their work.

Option 1:

Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work.

For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips from a large bag and find weights of 1.7, 1.9, 2.4, 1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another large bag and find weights of 1.8, 1.6, 1.9, 1.9, and 1.4 grams. Assume a random sample was drawn.

Option 2:

Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution.

For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.

For your response to a classmate (two responses required, one in each option), solve your classmate’s confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.

To complete this assignment, review the Discussion Rubric document attached.

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Discussion Rubric: Undergraduate Your active participation in the discussion forums is essential to your overall success this term. Discussion questions are designed to help you make meaningful connections between the course content and the larger concepts and goals of the course. These discussions offer you the opportunity to express your own thoughts, ask questions for clarification, and gain insight from your classmates’ responses and instructor’s guidance. Requirements for Discussion Board Assignments Students are required to post one initial post and to follow up with at least two response posts for each discussion board assignment. For your initial post (1), you must do the following:  Compose a post of one to two paragraphs.  In Module One, complete the initial post by Thursday at 11:59 p.m. Eastern Time.  In Modules Two through Eight, complete the initial post by Thursday at 11:59 p.m. of your local time zone.  Take into consideration material such as course content and other discussion boards from the current module and previous modules, when appropriate (make sure you are using proper citation methods for your discipline when referencing scholarly or popular resources). For your response posts (2), you must do the following:  Reply to at least two different classmates outside of your own initial post thread.  In Module One, complete the two response posts by Sunday at 11:59 p.m. Eastern Time.  In Modules Two through Eight, complete the two response posts by Sunday at 11:59 p.m. of your local time zone.  Demonstrate more depth and thought than simply stating that “I agree” or “You are wrong.” Guidance is provided for you in each discussion prompt. Rubric Critical Elements Comprehension Exemplary Develops an initial post with an organized, clear point of view or idea using rich and significant detail (100%) Timeliness Engagement Writing (Mechanics) Provides relevant and meaningful response posts with clarifying explanation and detail (100%) Writes posts that are easily understood, clear, and concise using proper citation methods where applicable with no errors in citations (100%) Proficient Develops an initial post with a point of view or idea using adequate organization and detail (85%) Submits initial post on time (100%) Provides relevant response posts with some explanation and detail (85%) Writes posts that are easily understood using proper citation methods where applicable with few errors in citations (85%) Needs Improvement Develops an initial post with a point of view or idea but with some gaps in organization and detail (55%) Submits initial post one day late (55%) Provides somewhat relevant response posts with some explanation and detail (55%) Writes posts that are understandable using proper citation methods where applicable with a number of errors in citations (55%) Not Evident Does not develop an initial post with an organized point of view or idea (0%) Value 40 Submits initial post two or more days late (0%) Provides response posts that are generic with little explanation or detail (0%) Writes posts that others are not able to understand and does not use proper citation methods where applicable (0%) 10 Total 30 20 100%
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Explanation & Answer

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Running head: STATISTICS

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Comparison of Two Means
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STATISTICS

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Comparison of Two Means

Option One
Question
An experiment is conducted to find out if two fertilizers X and Y have the same effect on
wheat crops. The experiment is carried out on two adjacent fields, field A and ...

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