8:494. An instructor makes three different versions of aChapter Test for her Algebra class. These are copiedontothree different colors of paper to help the instructor sortthe exams before grading. There are 30 students inthe class. Ten are given the yellow exam, 10 get the pinkexam, and the remaining 10 get the green exam.She will use an Analysis of Variance (ANOVA) test todetermine whether she can conclude that there is adifference between the difficulty level of the three exams.a) What, if any, action is she likely to take if thehypothesis test leads her to Reject HO ?b) What, if any, action is she likely to take if thehypothesis test leads her to Fail to Reject HO| शवहलहलकह40262826TE32GreenAneDetucen He three verslon of the chelpler tet.esedvce trat there yo a dferenee in dffculty levelgportonm nupottears test to detemanett Here isB.

Given: The data of scores are shown below Yellow Pink Green 25 25 32 27 26 32 29 26 30…

Answered: 4. An instructor makes three different…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 235 Fundash runners and 275 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 235 Fundash runners complete the course with a mean time of 78.1 minutes and a standard deviation of 6.7 minutes. The 275 individuals complete Coolsprint with a mean time of 76.4 minutes and a standard deviation of 8.1 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.01 level of significance, is there enough evidence to support the claim that the mean completion time, u,, of Fundash is greater than…
One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?
Two separate samples, each with n = 14 individuals, receive different treatments. After treatment, the first sample has SS = 1316 and the second has SS = 1620. Find the pooled Variance for two independent samples. (hundredths place) Type only the pooled variance.
The spreadsheet records the accuracy of 100 students spread out across 10 groups (or courses). ACCURACY is a measure of how well a student accurately inputs data into SAS; higher values indicate superior accuracy while lower values indicate inferior accuracy. GROUP is simply the course number assigned to the student—it is also known as a factor level. Various statistical tests assume the ten levels may have differing means of accuracy; however, they also assume that all levels have the same variance. But, how the heck do we know that? This means we must check to see whether all levels have the same variance. Do all ten groups exhibit equal variances? How do you know? Are any of the groups different than the others? How do you know? Perform Levene’s test and write it up. Accuracy Group1.0060 10.9960 10.9980 11.0000 10.9920 10.9930 11.0020 10.9990 10.9940 11.0000 10.9980 21.0060 21.0000 21.0020 20.9970 20.9980 20.9960 21.0000…
Mensa requies a test score to be in the top 2%. The test has a mean of 100 and Std. Dev. of 15.and scores are normally distributed. If 4 subjects take the test and they have a mean of 132 but the individual scores are lost, can we conclude that all 4 of them are eligible for Mensa?
Students in one class are asked to complete the same questionnaire 3 times throughout the semester: at the beginning, at the midterm, and at the end. The purpose of the questionnaire is to track students' perception of their progress at different points in the semester. Scores at Time 1 (beginning of the semester), Time 2 (midterm), and Time 3 (end of semester) are compared against one another. What type of analysis of variance would be appropriate for examining the results from this dataset?
In testing a certain kind or truck tire over rugged terrain, it is found that 40% of the trucks fail to complete the test run without a blowout. (a) Of the next 12 trucks tested, how many of them would you expect to have blowouts? (b) What is the variance of the number of blowouts experienced by the 12 trucks? What does that mean?
Many people like to play app based games on their mobile devices. Suppose we would like to estimate the average amount of time (in hours) per week students have played an app-based game on their mobile device at CSU Stan. In order to do this, we take a random sample of 20 students and ask them how many hours they have played an app- based game in the last week. The following data were collected: 11 4 5.5 5.5 7 6.2 10 10 7.5 6 7 7.5 2.5 Which of the following is the correct 99% confidence interval for the estimate of the average number of hours (per week) that all CSU Stan students have played an app- based game? [5.28, 7.59] [4.86, 8.01] [5.48,7.39] [5.86, 7.01]
Describe a study in which you can use both nonparametric and parametric statistics. A researcher has participants expecting to receive either painful or mild electrical shocks during a study wait in a quarter-full waiting room with other participants. He then measures whether they choose to sit next to other participants or if they sit far away on their own. What is the best test to run for this study and why?
A researcher is interested whether a new drug is effective in changing patients' cholesterol levels. She divided 33 patients into 3 groups according to the dosage the patient received. The cholesterol levels of all patients are measured and used as the data for the Analysis of Variance (ANOVA). If she reported the test statistic F = 2.1 What is the degree of freedom for the numerator of the F statistic? What is the degree of freedom for the denominator of the F statistic? What is the P-value of the F-test? (Round to 3 decimals) Given the significance level of 0.01, what can she conclude from the test? *The patients in differnt groups have simliar average cholesterial levels. The drug made no difference. *At least one group of patients have an average cholesterol level that is different from the other groups. The drug may have an effect.
The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study. the department needs to estimate the average number of vehicles that pass an intersection each day. One of the department's officer (Officer A) claims that on average, more than 15,000 cars passing the intersection. On the other hand. Officer B claims that on average, 18,000 cars passing the intersection. Meanwhile, a random sample of 64 days gives a sample mean of 14,205 cars and a sample standard deviation of 1,010 cars. Test both claim at 0.05 level of significance. Use the critical value approach and show the complete calculation steps for each testing. Whose claim is true? Testing Officer A's claim Step 1: State the hypotheses Step 2: Find critical value and state the decision rule Step 3: Compute the test value Step 4: Make decision Step 5: Conclusion Testing Officer B's claim Step 1: State the hypotheses Step 2: Find critical value and state the decision…
A father is concerned that his teenage son is watching too much television each day, since his son watches an average of 2 hours per day His son says that his TV habits are no different than those of his friends. Since this father has taken a stats class, he knows that can actually test to see whether or not his son is watching more TV than his peers The father collects a random sample of watching times from boys at his son's high school and gets the following data: 1.9, 2.3, 2.2, 1.9, 1.6, 2.6, 1.4, 2.0, 2.0, 2.2 Find a 95% confidence interval for the true mean number of hours teenagers at that school watch TV. a. Confidence Interval b. Conclusion

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