Question 1: The cumulative distribution function of a continuous random variable X is gi- (0,x < -2 Fx (x) =c(x+2)2,-2 sxS3 %3D
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![Question 1: The cumulative distribution function of a continuous random variable X is given by
(0, x < -2
Fx(x) = }c(x +2)2,-2 sxS3
1, x > 3
%3D
where c is a constant. According to the information given above, find Var(X).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F279a853c-e25a-43c6-b2c2-cc51c51292b4%2F7f83304d-d9e9-4fdd-ba20-0e72664df8f1%2Fog09sj_processed.jpeg&w=3840&q=75)
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- Participant Repetitions (using placebo) 115 Repetitions (using Vitamin C) 1 193 316 432 407 592 252 264 900 1301 771 1299 451 469 8 509 804 483 740 10 594 912 11 755 863 12 159 265 13 147 173 14 377 483 15 475 635 234 567 o9hapter 1, Section 2, Exercise 041 The population is the approximately 29,000 protein-coding genes in human DNA. Each gene is assigned a number (from 1 to 29,000), and computer software is used to randomly select 500 of these numbers yielding a sample of 500 genes.State whether or not the sampling method described produces a random sample from the given population. Random Not randomMultivariate analysis is a statistical principle that involves observation and analysis of more than one statistical outcome variable at a time. O True False
- analysis of variance, differences caused by treatment effects contribute to which of the n an following types of variance?Analysis of variance is a technique used to conduct a hypothesis test to compare three or more population proportions simultaneously true or false?Random ------ helps one obtain a sample that is representative of the population whereas random assignment ensures the two groups are as equivalent as possible.
- Student Absences and Grades on the Final Exam Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10.xlsx. Do not use any software that I did not assign. Question 1: Which or the two variables (times absent or grades on the final exam) is the independent variable and which is the dependent variable? Question 2: Using Microsoft Excel: SHOW YOUR WORK Times Late/Absent Final Exam Grade 1 9 84.00 2 2 92.50 3 12 52.00 4 5 87.00 5 11 75.00 6 24 45.00 7 7 39.00 8 10 46.00 9 19 63.00 10 2 65.00 11 2 98.00 12 17 24.50 13 8 58.00 14 20 69.50 15 55 49.00 16 23 68.50 17 6 70.00 18 4 75.50 19 2 85.00 20 7 97.00 21 2 97.00 22 2 93.50 23 0 93.50 24 2…TOPIC: Hypothesis Testing please provide answers also for critical value and test statistics. Thank youHypothesis test For a certain nationwide standardized test there are two commonly used preparation products on the market: StudyFocus and Prepara. A researcher in the Education department at a nearby university wants to determine if there is any difference between the two products on the mean score on the test by their users. The researcher obtains the scores on the test from a random sample of 16 users of StudyFocus and a random sample of 14 users of Prepara. (These samples are chosen independently.) These data are shown in the table. ? StudyFocus Prepara Send data to calculator 408, 400, 460, 587, 485, 559, 470, 439, 453, 531, 491, 481, 529, 494, 581, 397 510, 553, 504, 525, 549, 500, 525, 561, 510, 493, 498, 512, 517, 546 V Scores Send data to Excel Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) Explanation Assume that the two populations of scores are…
- Computing the Z-test Statistic The State College is evaluating a new English composition course for freshmen. A random sample of n = 25 freshmen is selected from the State College. All 25 students are placed in the new English composition course during their first semester. One year later, a writing sample is obtained for each student and their writing samples are graded using a standardized evaluation technique. The average score for the sample is M= 76. For the general population of the State College, writing scores form a normal distribution with a mean = 70 and a standard deviation = 20. Please calculate the appropriate hypothesis test using all four steps?Murder and Poverty hypothesis testing exercise.What is the study’s generalizability from a sample to a population? Centralizing theorem Internal validity External validity
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