What type of one-sample t-test must be implemented here?Two-tailed t-testLeft-tailed t-testRight-tailed t-testNull hypothesis test BackgroundIn a previous lab, the results of a study conducted at a large university was presented. It compared the effectiveness of two alternative teaching methods in first-year algebra courses: "Method 1" and “Method 2". To ensure that the selectedmethodology benefited all first-year students at the university, the committee conducted a randomized trial.Three sections of the course were opened: one where a professor taught the material in a standard way, one where a professor taught using Method 1, and one where a professor taught using Method 2. Students were then randomlyassigned to one of the three algebra courses but were not told that the methods of instruction varied. (Each method was assigned 100 students.) After the completion of these courses, the final grades of the students were compiled into adatabase. This database was used to decide which instructional method will be implemented in future classes.DataThe "comma separated variable" (csv) file containing (fictitious) students' final grades is included below. It is entitled "TestScores(2).csv" and can be downloaded. This dataset contains 300 values divided into three columns: standardmethod, new method 1, and new method 2. These labels correspond to the teaching strategies implemented in the scenario described above. Use descriptive statistics to characterize these data and draw conclusions. (Data:TestScores(2).csv)ScenarioAt the conclusion of the semester, the standard method of instruction yielded 100 grades with a mean final grade of 74.161% and a standard deviation of roughly 10.78%. A mathematics professor in the department stated that he thinks, onaverage, students score a 78% in the first-year algebra course; however, the mean from the sample data suggests that the true average could be lower. Answer the following questions to determine if the true population mean is lower than78% at the 5% significance level. Since experimental methods were used in "Method 1" and "Method 2", these grades will be ignored. Only grades from the "Standard Method" will be considered.

Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

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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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In a recent court case it was found that during a period of 11 years 851 people were selected for grand jury duty and 40% of them were from the same ethnicity. Among the people eligible for grand jury duty, 80% were of this ethnicity Use a 0.01 significance level to test the claim that the selection process is based against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. What is the test statistic? (Round to two decimal places as needed.)
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What type of hypothesis test should be performed? Ex: Left-tailed z-test, Left-tailed t-test, Right-tailed t-test, or a Two-tailed z-test. What is the test statistic? Ex: 0.12 Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the a = 0.05 significance level? Ex: yes or no
The Comprehensive Assessment of Outcomes in Statistics (CAOS) exam is an online multiple-choice teston concepts covered in a typical introductory statistics course. Students can take a pretest version beforeinstruction and then a posttest version after instruction. Fter taking the class, the pretest and posttest scoresare compared to assess student learning in the course.For a random sample of 10 students who took the class from Professor X, the posttest scores increased overthe pretest score by an average of 14 percentage points, with a standard deviation of 6.4 points. a) What additional information (if any!) do we need to know in order to use t-based methods from thisdata set? b) Compute a 95% confidence interval for the mean improvement in CAOS scores for students who tookthe class from Profesor X. c) The developers of the CAOS exam report that, for all students who have taken the CAOS exam (andnot just Professor X’s students), the mean improvment is 10.1. Do we have evidence to…
Using traditional methods it takes 99 hours to receive an advanced driving license. A new training technique using Computer Aided Instruction (CAI) has been proposed A researcher believes the new technique may reduce training time and decides to perform a hypothesis test. After performing the test on 130 students, the researcher decides to reject the null hypothesis at a 0.01 level of significance What is the conclusion? Answer O There is sufficent evidence at the 0.01 level of significance that the new technique reduces training time O There is not sufficient evidence at the 0.01 level of significance that the new technique reduces training time Tables Keypad Keyboard Shortcuts
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What type of one-sample t-test must be implemented here? Two-tailed t-test Left-tailed t-test Right-tailed t-test Null hypothesis test