QUESTION
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Week 5Discussion posts
Applications of Two-Sample Tests
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.
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| Subject | Psychology | Pages | 3 | Style | APA |
|---|
Answer
Application of Two-Sample Tests
Question: A group of students completed a test administered on Psychology. What is the difference between the average scores of female students and the average scores of male students?
Table 1: Test Scores
|
Name |
Test Score |
Gender |
|
Dan |
99 |
1 |
|
Tom |
108 |
1 |
|
Peter |
55 |
1 |
|
Mary |
65 |
2 |
|
Jane |
78 |
2 |
|
Cecilia |
98 |
2 |
|
Robert |
67 |
1 |
|
Anna |
87 |
1 |
|
Lilian |
92 |
2 |
|
Winnie |
89 |
2 |
Table 2: Group Statistics
|
Gender |
N |
Mean |
Std. Deviation |
Std. Error mean |
|
Male Female |
4 6 |
82.25 84.83 |
25.28998 11.72035 |
12.64499 4.784814 |
Solution
Using the classical methods, the difference between the means of these test scores can be calculated as shown below.
Degree of Freedom= N-1 (10-1) =9
Significance =0.05
T*= 1.833113
Confidence interval=-2.58+/-24.78 (22.2;-27.36)
It can be interpreted with a 95% confidence that the difference between the mean of test scores of male and female students range between 22.2 and -27.36
art skills.
References