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- A number cube with faces labeled 1 to 6 is rolled once.The number rolled will be recorded as the outcome. Consider the following events. Event A : The number rolled is even.Event B : The number rolled is less than 4 . Give the outcomes for each of the following events.If there is more than one element in the set, separate them with commas. (a) Event"AorB": (b) Event"AandB":A certain company will purchase the house of any employee who is transferred out of state and will handle all details of reselling the house. The purchase price is based on two assessments, one assessor being chosen by the employee and one by the company. Based on the sample of eight assessments shown, do the two assessors agree? Use the .01 level of significance. Assessments of Eight Homes ($ thousands) Assessed by Home 1 Home 2 Home 3 Home 4 Home 5 Home 6 Home 7 Home 8 Company 328 350 455 278 290 285 535 745 Employee 318 345 470 285 310 280 525 765 a) Choose the appropriate hypotheses. Assume d = company assessed value – employee assessed value. H0: μd = 0 versus H1: μd ≠ 0. H0: μd ≠ 0 versus H1: μd = 0. (b) State the decision rule for .01 level of significance. (Round your answers to 2 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis if tcalc < or tcalc > . (c-1) Find the test statistic tcalc.…3. A psychology professor wants to know if stress in his statistics class is in anyway affected by a student's major and gender. Test to see if a student's gender and major affects their stress level in the statistics course. Psychology Other 17 11 -1 12 9 12 17 9 Male 10 10 13 13 13 4 14 6 EX² = 1294 EX² 811 25 19 15 14 11 20 20 12 Female 3 20 12 15 18 10 20 25 EX² = 2248 ΣΧ' = 2451 Solve for the appropriate test statistic(s).
- :: Apps eTextbook: Statistics for The Behavioral Sciences eTextbook: Statistics Quick Tour Print Search Annotations Accessibility Bookmark for The Behavioral. 12. Gaucher, Friesen, and Kay (2010) found that masculine-themed words (such as competitive, independent, analyze, strong) are commonly used in job recruitment materials, especially for job advertisements in male-dominated areas. In a similar study, a researcher counted the number of masculine-themed words in job advertisements for job areas, and obtained the Cover Page following data. A Title Page A Copyright Page Area Number of Masculine Words A Preface Plumber 14 A About the Authors Electrician 12 Chapter 1. Introduction to > Statistics Security guard 17 v Chapter 2. Frequency Distributions 2.1. Frequency Distributions and Frequency Distrib. Вookkeeper 9 2.2. Grouped Frequency Nurse Distribution Tables 2.3. Frequency Distribution Graphs Early-childhood educator 7 2.4. Percentiles, Percentile Ranks, and Interpolat. 2.5. Stem…Eleven sets of fraternal twins are tracked to see the number of years of education the results are as follows: Sister: 14 16 13 12 19 9 12 14 11 20 16 Brother: 16 17 12 14 19 11 18 17 14 17 16 Is there significant difference in the years of education between a fraternal borother and sister? ( alpha = .10)Suppose course evaluation ratings for four college instructors are shown in the following table. Instructor Black Jennings Swanson Wilson 87 86 87 80 80 77 79 83 78 84 67 59 67 83 84 71 99 98 83 88 68 98 84 86 83 85 95 82 81 Use ? = 0.05 and test for a significant difference among the rating for these instructors. State the null and alternative hypotheses. H0: MedianB = MedianJ = MedianS = MedianW Ha: MedianB < MedianJ > MedianS > MedianW H0: MedianB = MedianJ = MedianS = MedianW Ha: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW H0: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW Ha: MedianB = MedianJ = MedianS = MedianW H0: All populations of teaching evaluations are identical. Ha: Not all populations of teaching evaluations are identical. H0: Not all populations of teaching evaluations are identical. Ha: All populations of teaching evaluations are identical. Find the value of the test statistic. (Round your answer to two decimal…
- 17 Find the mode(s) for the following group of data items. 5.7, 7.9, 9.1, 6.8, 8.3, 8.3, 7.3, 8.8, 7.7, 6.6, 6.6 Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The mode(s) is/are ______. (Use a comma to separate answers as needed.)2. We want to investigate whether there exists gender bias on traffic stops by the police here in Charlotte. The Charlotte Open Data Portal includes information on different characteristics of drivers being stopped. We collected the data from 2017 and we are interested in answering the question: "Of all the drivers who are stopped, are female drivers less likely to get searched than male drivers? From the data collected we observed that 438 out of the 24,314 female drivers were searched, whercas 2,244 out of 34,095 male drivers were scarchcd. (a) that the proportion of female drivers being searched is smaller than the proportion of male drivers being searched? Is there sufficient evidence at the 0.05 significance level to conclude Construct the appropriate confidence interval for the hypothesis (b) test of part (a) and state your conclusion.a. Describe the following variables with respective data types 1. Respondent's identification number : ID 2. Province the respondents live in (Alberta & British Columbia) 3. Respondent's gender (Male, Female) 4. Respondent's ethnicity (Caucasian, Black) 5. Respondent's age (AGE) 6. Respondent's religious affiliation Protestant Catholic Jewish None Other
- 11 Find the mode(s) for the following group of data items. 4.3, 6.5, 7.7, 5.4, 6.9, 6.9, 5.9, 7.4, 6.3, 5.2, 5.2 Select the correct choice below and, if necessary, fill in the answer box within your choice. A.The mode(s) is/are ______. ��(Use a comma to separate answers as needed.) B.There is no mode.In an interview for a job, the interviewer says that the average annual income of the company's 16 employees is $73,610. The actual annual incomes of the 16 employees are shown below. Which measure of central tendency would be most informative to the potential employee? OOO O O median O mode O mean Orange $12,500 $12,500 $16,430 $17,305 $17,408 $18,980 $20,432 $24,540 $25,676 $28,906 $28,956 $32,654 $94,024 $98,213 $250,921 $478,320Vitamin E and the Risk of Prostate Cancer: Klien et al (2011) conducted the following study to determine the effect of vitamin E and selenium treatment on the risk of developing prostate cancer in healthy men. A total of 34,887 men from different study sites in the United States, Canada, and Puerto Rico were randomly selected. To be eligible to participate, the men had to take a rectal examination that showed he was not suspicious of having prostate cancer and be aged 50 years or older for black men and 55 years or older for all others. Each man was randomly assigned to receive one of four treatments: selenium, vitamin E, selenium and vitamin E together, or a placebo. The men were followed up after 8 years to see if they had developed prostate cancer or not. The main question of interest is to determine if the risk of developing prostate cancer differs by the treatment taken. The data are summarized in the table below: No Prostate Cancer Prostate Cancer Total Selenium 8,752 8,737 8,702…
