**Title: Comparing Admission Test Preparation Programs Using the Kruskal-Wallis Test****Introduction:**Three admission test preparation programs are being evaluated. Suppose the scores obtained by a sample of 20 people who used the programs provided the following data:**Program Scores:**- Program A: 510, 400, 490, 520, 470, 640, 550- Program B: 450, 510, 470, 490, 520, 470, 440, 510, 440, 580- Program C: 600, 620, 570, 490, 490, 390, 630, 580**Data Representation:**The scores are shown in the table below:| Program | Scores ||---------|-------------------------------------------|| A | 510, 400, 490, 520, 470, 640, 550 || B | 450, 510, 470, 490, 520, 470, 440, 510, 440 || C | 600, 620, 570, 490, 490, 390, 630, 580 |**Objective:**Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs.**Hypotheses:**State the null and alternative hypotheses.1. $ H_0 $: Median_A = Median_B = Median_C $ H_a $: At least one population median of test scores is different.Based on the question requirements, the correct null and alternative hypotheses are:- $ H_0 $: Median_A = Median_B = Median_C- $ H_a $: At least one population median of test scores is different.**Procedure:**1. **Compute the Kruskal-Wallis Test Statistic:** Find the value of the test statistic. (Round your answer to two decimal places.)2. **Consider the Significance Level:** Use a significance level of α = 0.05.3. **Determine the p-value:** Find and interpret the p-value. (Round your answer to three decimal places.)**Results:**- **Test Statistic Value:** Enter the calculated value here.- **p-value:** Enter the calculated p-value here.**Conclusion:**Based on the p-value compared to the

We need to conduct a Kruskal-Wallis test. The significance level is α=0.05.

Answered: Three admission test preparation…

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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3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…

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