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Dr. Wright has started using online quizzes as a way to provide more practice to his math students without adding more hours grading written homework assignments. He creates these quizzes so that students receive immediate feedback about incorrect answers. He also allows them to take the quizzes more than once, so that they can improve their knowledge and their grade. He suspects that most of them look at the text or their notes while they take it, since there is no explicit requirement that they not do this. He believes that doing the quizzes should improve test grades and he decides to analyze this data.
1. True or False? Dr. Wright’s null hypothesis is that quizzes will improve test grades.
2. What analysis should Dr. Wright use to determine whether quiz grades are positively associated with test grades?
- Independent samples t test
- Dependent samples t test
- ANOVA
Correlation
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- Many graduate school programs in the United States require applicants to take the Graduate Record Exam, also called the GRE. One part of the exam, the GRE-Quantitative test, assesses students' level of quantitative reasoning and thinking – exactly the skills we are building in our class this semester. The highest score possible on the GRE-Quantitative test is a score of 800. Many graduate schools think that a score of 700 or higher on the GRE-Quantitative test shows that the applicant has strong quantitative skills. The table shows the number of people who took the GRE between 2003 and 2006 who had GRE-Quantitative test scores of 700 or higher. All of the people represented in the table planned to major in one of the two listed areas of the social sciences. a. Complete the table. GRE-QUANTITATIVE SCORE INTENDED MAJOR Below 700 700 to 800 ТОTAL Economics 2,457 6,685 Political Science 4,051 19,460 ТОTAL 8,279 Round all percentages in parts b - d to the nearest tenth of a percent. You…Luke's teacher has assigned each student in his class an online quiz, which is made up of 10 multiple-choice questions with 4 options each. Luke hasn't been paying attention in class and has to guess on each question. However, his teacher allows each student to take the quiz three times and will record the highest of the three scores. A passing score is 6 or more correct out of 10. We want to perform a simulation to estimate the score that Luke will earn on the quiz if he guesses at random on all the questions. The dotplot shows Luke's simulated quiz score in 50 trials of the simulation. Doug is in the same class and claims to understand some of the material. 1 N 10000 2 …………………………………at 3 …………………… 4 3 ……………………●●●●●▬ 5 Simulated quiz score -●●●●● 10 6 7 If Doug scored 8 points on the quiz, is there convincing evidence that he understands some of the material? Why or why not? Yes, it is unlikely that Doug would score higher than 6 out of 10 based upon randomly guessing the answers. Since…The principal of Paul Revere High School bragged that his 2016 graduating class of 1500 students achieved impressive scores on their ACT exams. He announced that an “astounding” 36% of the class got a score of 29 or higher, 54% got a score of 21 to 28, and only 10% less than 21. You want to test whether these ACT results are really that astounding. You visit the ACT website to see that the national results are 34% getting a score over 28, 58% getting 21 to 28, and 8% less than 21. Test whether or not the principal is correct to brag that his proportions were more impressive than the national performance. Use an alpha of 0.05. So I kinda understand the question. I am mostly confused about how to determine the degree of freedom to get the critical value. Like I know the formula is d-C, and C is the number of categories in the word problem, but is there 3? Or am I just totally wrong?
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- I need help with just part c. Someone on here already answered it for me but I'm really confused as there are steps missing and I'm not sure what to put in the calculator. " The first quartile separates the lowest 25% of the observations from the higher 75% of the observations. The first quartile is denoted by Q1. The second quartile separates the lower 50% of the observations from the higher 50% of the observations. The second quartile is denoted by Q2.The second quartile is same as median. The third quartile separates the lowest 75% of the observations from the higher 25% of the observations. The third quartile is denoted by Q3. The third quartile can obtained as follows...." Third Quartile is 1 somehow, and I don't understand how it is.Jerry is considering opening a new ice cream store at a certain location on State Street in Madison. Jerry conducts some analysis and determines that a given location is acceptable only if the number of pedestrians passing the potential location averages more than 100 per hour. To check if this location is acceptable, Jerry records the number of pedestrians observed for each of 40 hours. Jerry finds that the average number of pedestrians that pass the potential location during each of the 40 hours he was observing, is 105.7 per hour. Jerry assumes that he knows the population standard deviation to be 16. Can Jerry conclude at the 1% significance level that the potential location for the ice cream store is acceptable? a. What is the correct set of hypotheses? Answer: Ho: u = 100 and H1: u> 100 v b. Determine the p-value Answer: 0.0122 c. Interpret the results Answer: There is not enough evidence d. Jerry is concerned with committing a Type II error. Determine the probability of Type II…Many graduate school programs in the United States require applicants to take the Graduate Record Exam, also called the GRE. One part of the exam, the GRE-Quantitative test, assesses students' level of quantitative reasoning and thinking - exactly the skills we are building in our class this semester. The highest score possible on the GRE-Quantitative test is a score of 800. Many graduate schools think that a score of 700 or higher on the GRE-Quantitative test shows that the applicant has strong quantitative skills. The table shows the number of people who took the GRE between 2003 and 2006 who had GRE-Quantitative test Scores of 700 or higher. All of the people represented in the table planned to major in one of the two listed areas of the social sciences. a. Complete the table. INTENDED MAJOR GRE-QUANTITATIVE SCORE Below 700 700 to 800 TOTAL Economics 2,143 6,775 Political Science 4,071 19,450 TOTAL 8,703