### Educational Material: College Entrance Exam and Mathematics Readiness**Scenario:**A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 24.4 on the college entrance exam with a standard deviation of 3.1. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 24 on the mathematics portion of the exam?**Tasks:**a) **State the appropriate null and alternative hypotheses. Fill in the correct answers below.****Explanation of Hypotheses:**- **Null Hypothesis (H₀):** This is the hypothesis that there is no significant difference or effect. In this context, it means the mean score of students who completed the core curriculum is equal to 24.- **Alternative Hypothesis (H₁):** This is the hypothesis that there is a significant difference or effect. Here, it would mean that the mean score is greater than 24.**Mathematical Notation:**- $ H₀: \mu = 24 $- $ H₁: \mu > 24 $---**Interactive Elements:**- **Help me solve this:** Assistance option for solving hypothesis testing problems.- **View an example:** Provides an example problem with solutions.- **Get more help:** Directs to additional resources or tutorials on the subject.- **Clear all:** Clears all inputs for a fresh start.- **Check answer:** Validates your input and provides feedback.---**Additional Information:**- **Sample Size (n):** 250 students- **Sample Mean (x̄):** 24.4- **Standard Deviation (σ):** 3.1**Date and Settings displayed:**- **Time:** 1:18 PM- **Temperature:** 94°F- **Weather:** Mostly sunny- **Date:** 6/18/2022- **Device Details:** HP laptop with icons for various browsers and applications visible.This educational scenario provides a clear example of how statistical hypotheses are formulated and tested using sample data. It highlights critical thinking

According to the given information in this question We need to identify the null hypothesis and…

Answered: A college entrance exam company…

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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A new drug is being tested to see if it reduces the frequency of migraines. Study participants were divided into two groups. 49 participants in group 1 received the medication; 42 participants in group 2 received a placebo. After a period of six months, group 1 had a mean of 4 migraines. It is known that the population standard deviation for this group is 1.3 migraines. Group 2 had a mean of 5.4 migraines. The population standard deviation for this group is 1.7 migraines. Can we conclude that the medication reduces the population mean number of migraines? Use αα =0.01. Note: If t-test, then unequal variances are assumed. Question a)Let: μ1μ1 = the population mean number of migraines with the medication μ2μ2 = the population mean number of migraines with the placebo (Step 1) State the null and alternative hypotheses by selecting the appropriate symbol, and identify which tailed test: H0:H0: μ1μ1 μ2μ2 H1:H1: μ1μ1 μ2μ2 Which tailed test…
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