2. Use the given information to find the followinga. Provide the t-score required for this hypothesis test. (Include at least two decimal places)b. What is the p-value determined by this hypothesis test? Standard Method51.162.558.162.378.765.274.759.977.85583.17685.6926779.886.562.279.190.96394.788.671.576.774.673.258.785.395.47968.370.267.977.267.788.283.949.46085.172.273.869.251.370.971.18869.263.971.371.593.277.171.479.379.567.777.769.588.756.66988.363.668.277.768.471.188.171.17274.165.765.57581.792.467.475.792.484.762.679.165.848.861.679.788.659.278.879.675.286.28575.582.174.581.381.2 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.

According to the given information, x¯=74.161%s=10.78%μ=78%n=100 This is an example of a…

Use the given information to find the following a. Provide the t-score required for this hypothesis test. (Include at least two decimal places) b. What is the p-value determined by this hypothesis test?

Use the given information to find the following a. Provide the t-score required for this hypothesis test. (Include at least two decimal places) b. What is the p-value determined by this hypothesis test?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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