Let R₁ and R₂ both be equivalence relations. Show by proof or disprove by counterex- ample the following: (a) R₁ R₂ is an equivalence relation (b) R₁ U R₂ is an equivalence relation
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Discrete Math
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- local fast-food res et y denote the caThe trade volume of a stock is the number of shares traded on a given day. The data in the first accompanying table, in millions (so that 6.16 represents 6,160,000 shares traded), represent the volume of a PepsiCo stock traded for a random sample of 38 trading days in 2018. A second random sample of 38 days in 2018 resulted in the data in the second accompanying table. Complete parts (a) through (d). EX Click here to view the data for sample 1. Click here to view the data for sample 2. Click here to view the table of critical t-values. .... (a) Use the data from sample 1 to compute a point estimate for the population mean number of shares traded per day in 2018. A point estimate for the population mean number of PepsiCo shares traded per day in 2018 is (Round to two decimal places as needed.) million. Sample 1 Volumes (millions 6.16 4.98 5.55 4.28 7.28 6.39 4.02 6.69 5.32 5.05 4.95 3.25 4.92 4.41 4.97 5.07 4.80 6.92 4.16 Sample 1 7.54 8.88 7.56 6.10 4.00 6.22 4.64 6.96 6.71 2.37 4.84…Statistical power theory
- Intelligence and literacy are examples of characteristics. O a. Questionnable O b. Quantitative OC. Discrete O d. QualitativeReading is fundamental to a teenager's ability to perform well in school. Assume a researcher is interested in the ability of the number of books read over the summer to predict ACT Reading scores. Using a random sample of 10 random high school students the researchers recorded the number of books read over the summer and the students' ACT Reading scores. Books Read (X) ACT Score (Y) (X- Xmean) (Y - Ymean) (X-Xmean)(Y-Ymean) (X-Xmean)? (Y - Ymean)? 2 16 -5.4 -14.9 81 29 221 2 19 -5.4 -11.9 64 29 141 3 17 -4.4 -13.9 61 20 192 4 25 -3.4 -5.9 20 12 34 21 -3.4 -9.9 34 12 97 24 -1.4 -6.9 10 2 47 6 21 -1.4 -9.9 14 2 97 8 24 0.6 -6.9 -4 47 7 27 -0.4 -3.9 2 15 10 22 2.6 -8.9 -23 7 78 Total 52 216 259.1 113.3 969.3 МEAN 7.4 30.9 a. Identify the regression line using the number of books read to predict ACT Reading score. Use a = .05 to evaluate the quality of the prediction of the regression line. b. What is the predicted ACT Reading score when 5 books are read?how can I get Sd? (if possible with Ti84)
- Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Reaction Within 5 Minutes After 5 Minutes Row Total NoneMildStrong 4025543 64323113 466378156 Column Total 500 500 1000 Let's use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.) (d) P(N and…What is the empirical formula for C10H2005? O C₂H5O O CH,O OCHO3 OCHO OC₂H₂O Submit Provide Feedback Request AnswerI need help with the part B-1 of this question
- Which command can we use to generate a histogram in R? A. histogram() B. histo() C. hist() D. None of the abovetruo or falseAn instructor for a test preparation course claims that the course will improve the test scores of students. The table shows the critical reading scores for 14 students the first two times they took the test. Before taking the test for the second time, the students took the instructor's course to try to improve their critical reading test scores. At a = 0.01, is there enough evidence to support the instructor's claim? Complete parts (a) through (f). Student Score on first test Score on second test 450 698 674 448 489 630 496 543 636 558 643 407 374 493 10 11 12 13 14 D 444 635 616 409 545 605 516 395 561 471 632 387 337 461 1 2 3 4 7 8 9. (b) Find the critical value(s) and identify the rejection region(s). (Use a comma to separate answers as needed. Type an integer or a decimal, Round to three decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. t>3.012 O B. t 2.650 O C. t 3.012 Click to select your answer(s). 225 PM 12/17/2020