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# I need the following assignments answer two way analysis of variance test, sign test matched pairs, and

assignment 6.4 problem set.  The information are attached below.

Problem Set Student Name: 1. Which national park has more bears? Random samples of plots of ten square miles were taken in diFerent parts of Yellowstone National Park, Yosemite National Park and Glacier National Park. The bear counts per square mile were recorded as shown below: Yellowstone Yosemite Glacier 2 3 8 1 0 3 4 4 5 2 1 8 We want to test whether there is a diFerence in the mean number of bear per ten square mile plot in these three diFerent parks using a 5% level of signi±cance. a. State the hypotheses. b. Calculate the SS TOTAL , SS BETWEEN , and SS WITHIN . c. Using these values, create the summary table for your ANOVA test. d. ²rom the table, state the test statistic and p-value, and state your conclusion at the 5% level of signi±cance. 2. What aFects grade point average? Does GPA depend on gender? Does GPA depend on class (freshman, sophomore, junior, senior)? In a study, the following GPAs were collected from random samples of college students. There are four values in each cell: ²reshmen Sophomore Junior Senior Male 3.2, 3.6, 3.8, 3.5 3.7, 3.3, 3.6, 2.6 3.3, 3.6, 2.6, 2.4 2.3, 3.5, 3.9, 2.9 ²emale 3.8, 3.6, 3.5, 3.1 2.9, 3.8, 3.1, 3.2 2.3, 2.5, 2.9, 3.5 3.0, 2.1, 2.8, 2.7 a. List the factors and the number of levels for each factor. b. Suppose the test statistic and p-value for the interaction term are 0.43 and 0.736, respectively. Determine if there is any evidence of interaction between the two factors at the 5% level of signi±cance. c. Suppose the test statistic and p-value for the class factor are 3.32 and 0.037, respectively. Determine if there is any evidence of a diFerence in mean GPA based on class at the 5% level of signi±cance. d. Suppose the test statistic and p-value for the gender factor are 1.26 and 0.273, respectively. Determine if there is any evidence of a diFerence in mean GPA based on gender at the 5% level of signi±cance. 3. A new medicinal drink is thought to help people stop smoking cigarettes. To test this, a random sample of 18 subjects agreed to drink one drink once a day for a month. 1 Copyright©2011 Cengage Learning. All Rights Reserved.
Problem Set Data is collected for these 18 subjects based on the number of cigarettes per day prior to starting the program, and the number of cigarettes per day after starting the program. Below is the data for these 18 subjects: Subject Number before program Number after program 1 24 24 2 25 19 3 14 2 4 17 17 5 25 29 6 30 19 7 18 7 8 15 18 9 11 1 10 20 5 11 30 12 12 40 21 13 26 28 14 38 17 15 10 0 16 32 15 17 18 4 18 24 18 Using a sign test for matched pairs at the .01 level of signiFcance, we will test the claim that the number of cigarettes smoked per day was less after the program. a. State the null and alternative hypotheses. b. Compute the sample test statistic. c. ±ind the p-value. d. State the conclusion at the .01 level of signiFcance. 4. Two di²erent methods are used to help children learn how to spell. Each child was given 60 words to spell, and it was noted how many words each child spelled correctly. Here are the counts for both methods: Method A 28 35 19 41 37 31 38 40 25 27 36 43 Method B 42 33 26 24 44 46 34 20 48 39 45 Use a rank-sum test at the 0.05 level of signiFcance to test the claim that there is no di²erence between the distributions for each method. a. State the null and alternative hypotheses. b. Compute the sample test statistic. 2 Copyright©2011 Cengage Learning. All Rights Reserved.
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Instuctor’s Annotated Edition Understandable Statistics Concepts and Methods Australia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College TENTH EDITION Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. This is an electronic version of the print textbook. Due to electronic r ights restrictions, some third party content may be suppressed. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. The publisher reserves the right to remove content from this title at any time if subsequent rights restrictions require it. For valuable information on pricing, previous editions, changes to current editions, and alternate formats, please visit www.cengage.com/highered to search by ISBN#, author, title, or keyword for materials in your areas of interest.
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Instuctor’s Annotated Edition Understandable Statistics Concepts and Methods Australia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College TENTH EDITION Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. This is an electronic version of the print textbook. Due to electronic r ights restrictions, some third party content may be suppressed. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. The publisher reserves the right to remove content from this title at any time if subsequent rights restrictions require it. For valuable information on pricing, previous editions, changes to current editions, and alternate formats, please visit www.cengage.com/highered to search by ISBN#, author, title, or keyword for materials in your areas of interest.
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Description You’ve already seen a few examples of tests using nonparametric statistics such as the rank-sum test. For this assignment, you will watch a video that details the Sign Test for Matched Pairs which is used to compare data from matched pairs, like before and after tests. After watching the video, you will answer questions and solve problems involving paired data. Instructions 1. Click on the link to watch the video which shows an example of running a sign test for matched pairs. The Sign Test for Matched Pairs 2. Answer the following questions in a Word document: Given the following data where patients with high blood pressure are given a drug that is thought to lower their blood pressure. The before amounts represent their blood pressure before taking the medicine. The after amounts represent their blood pressure after taking the medicine for three months: Subject Before After 1 140 140 2 148 140 3 146 138 4 154 152 5 142 144 6 151 148 7 140 138 8 148 146 9 146 148 10 154 150 11 142 140 12 151 148 13 153 150 State why a sign test for matched pairs would be appropriate for this example. Set up the hypotheses to determine if the claim is that the medicine helps to reduce blood pressure. Calculate the test statistic and p-value for this example. What would your conclusion be at the 0.05 level of signi±cance?
You've already used the one-way analysis of variance to test if Fve di±erent movies are getting about the same average ratings or di±erent ratings. ²or this assignment, you will use two-way analysis of variance test to analyze the relationship between types of movie trailers and gender. Scenario Suppose that instead of Fve movies, you want to just focus on one of the movies. And suppose, before this movie even comes out, you want to test out two di±erent trailers for this movie. Therefore, you take a sample of men and women and randomly separate them out into four groups. Some of the men will watch Trailer A and give it a rating. Some of the women will watch Trailer A and give it a rating. Some of the men will watch Trailer B and give it a rating. Some of the women will watch Trailer B and give it a rating. Once you have the ratings for these four groups, you can run what is called a two-way analysis of variance. It is called a two-way analysis of variance because you are able to see if you are getting signiFcantly di±erent ratings based on not one but two variables, the type of trailer (A or B) and gender. Because you are using two variables, you can see if you get signiFcantly di±erent average ratings for the movie. Instructions 1. Click on the link to watch the video. Procedure to Conduct a Two-Way ANOVA Test 2. Review the movie data in the following table. Gender Trailer Type Ratings Sample Size Mean 1 2 3 4 5 Male A 8 7 8 6 4 5 6.6 Male B 4 6 4 5 4 5 4.6 ²emale A 3 4 1 2 4 5 2.8 ²emale B 6 7 5 4 7 5 5.8 3. Answer the following questions in a Word document: State the hypotheses to test the main e±ects of gender. State the hypotheses to test the main e±ects of trailer type. Calculate the test statistic and p-value to test the main e±ects of gender. Calculate the test statistic and p-value to test the main e±ects of trailer type. State the conclusion of both these tests at the 0.05 level of signiFcance.

Problem Set Student Name:
1. Which national park has more bears? Random samples of plots of ten square miles
were taken in different parts of Yellowstone National Park, Yosemite National Park and...

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