Practice Week 10

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University of Maryland, College Park *

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650

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Statistics

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Apr 3, 2024

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7

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Practice Week 10 - Results Attempt 1 of Unlimited Written Mar 20, 2024 2:42 PM - Mar 20, 2024 2:44 PM Attempt Score 44 / 100 - 44 % Overall Grade (Highest Attempt) 44 / 100 - 44 % Question 1 (Mandatory) 0 / 8 points What are the ANOVA Hypotheses? Question 2 (Mandatory) 0 / 12 points UMGC plans to use a new tutorial to teach the students about business ethics. As an experiment, the administrator randomly selected 15 students, and randomly assigned them to one of three groups: a PowerPoint presentation created by the faculty, AuthorGen Presentation created by the AI Resources, and a well known tutorial by the ABCD company. After completing their assigned tutorial, the students are given a Business Ethics test ( Click on link). Use Excel Data Analysis at = 0.01 to decide which tutorial to use? H0: Population means are equal; HA: At least one mean is different. H0: At least two population means are different; H1 Population means are equal. H0: AuthorGen is best because it has the highest mean score; H1: AuthorGen does not have the highest score. H0: Population means are equal; H1: AuthorGen is best because it has the highest mean score
Keep the Excel file open for the next question. Hide ques±on 2 feedback Question 3 (Mandatory) 0 / 8 points Based on the ANOVA results from question 1. What is your decision? Hide ques±on 3 feedback A) F = 0.835 < Fcrit 6.927 B) F = 0.835 < Fcrit 3.885 C) F = 0.835 > Fcrit 0.388 D) F = 0.684 < Fcrit 3.885 EXAMPLE Reject H0: AuthorGen Tutorial is best because it has the highest mean score. Do not reject H0: Mean test results are equal, choose the least expensive tutorial. Do not reject H0: Mean test results are unequal, AuthorGen Tutorial is the best choice because it has the highest mean score. Reject H0: Mean test results are equal, choose the least expensive tutorial. H0 is not valid null hypothesis.
Question 4 (Mandatory) 15 / 15 points ASPCA studied whether there was a relationship between the type of animals preferred and the gender of the owner. They gathered data from randomly chosen pet owners who owned either one cat or one dog. Open Dogs and Cats ( Click on link), make a 2x2 pivot table counting by kind of pet and gender of owner, and keep Excel file open for the next 3 questions. Your pivot table has the same counts as Question 5 (Mandatory) 0 / 10 points Perform the chi square test of independence at = 0.10 of owner gender and type of pet as summarized by the pivot table from question 4. The chi square A) B) C) D)
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statistic is Question 6 (Mandatory) 7 / 7 points Continuing with Question 4, the test of independence of kind of pet and owner gender, what is the critical value? Use Excel function = CHISQ.INV.RT( , DF) Question 7 (Mandatory) 0 / 10 points You decide that A) 1.35 B) 1.32 C) 1.33 D) 1.34 3.841 2.706 6.634 9.210 A) There is no relationship because the chi square statistic exceeds the critical value.
Hide ques±on 7 feedback Question 8 (Mandatory) 8 / 8 points A human resources director wants to determine if employees prefer a day of the week to take sick leave and found Monday had 20 days, Tuesday 9, Wednesday 11, Thursday 7, Friday 9, and Saturday 18. At = 0.10, test H0: Monday = Tuesday = Wednesday = Thursday = Friday = Saturday. Keep your Excel file open for the following 3 questions. The chi square statistic is B) There is a relationship because the chi square statistic exceeds the critical value. C) There is a relationship because the chi square statistic is less than the critical value. D) There is no relationship because the chi square statistic is less than the critical value. EXAMPLE A) 11.62 B) 12.20 C) 10.96 D) 10.50
Question 9 (Mandatory) 0 / 8 points Continuing, determine the critical value at the significance level 0.10. Use Excel function = CHISQ.INV.RT. The critical value is Question 10 (Mandatory) 8 / 8 points Continuing, find the p-value. Use using Excel function CHISQ.DIST.RT. The pvalue is Question 11 (Mandatory) 6 / 6 points Comparing the chi-squared statistic to the critical value, or the pvalue to , are employees have a preference to be sick on a particular day(s)? Hide ques±on 11 feedback Done 9.236 12.592 15.086 1.610 0.035 0.040 0.045 0.051 True False EXAMPLE
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