A college entrance exam company determined that a score of 20 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 20.4 on the college entrance exam with a standard deviation of 3.9. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: H = 20 versus H,: > 20. b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. O A. A boxplot of the sample data shows no outliers. O B. The sample data come from a population that is approximately normal. O c. The students were randomly sampled. O D. The sample size is larger than 30. O E. The students' test scores were independent of one another. OF. None of the requirements are satisfied.
A college entrance exam company determined that a score of 20 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 20.4 on the college entrance exam with a standard deviation of 3.9. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: H = 20 versus H,: > 20. b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. O A. A boxplot of the sample data shows no outliers. O B. The sample data come from a population that is approximately normal. O c. The students were randomly sampled. O D. The sample size is larger than 30. O E. The students' test scores were independent of one another. OF. None of the requirements are satisfied.
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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Transcribed Image Text:**Educational Content - Hypothesis Testing with t-Distribution**
**Background:**
A college entrance exam company determined that a score of 20 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 20.4 on the college entrance exam with a standard deviation of 3.9. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? Specifically, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below.
**a) Hypothesis Setup:**
State the appropriate null and alternative hypotheses. Fill in the correct answers below.
- The appropriate null and alternative hypotheses are:
- \( H_0: \mu = 20 \)
- Versus \( H_1: \mu > 20 \).
**b) Verify Requirements:**
Check the requirements for using the t-distribution to perform this test. Select all that apply:
- □ A. A boxplot of the sample data shows no outliers.
- □ B. The sample data come from a population that is approximately normal.
- □ C. The students were randomly sampled.
- □ D. The sample size is larger than 30.
- □ E. The students' test scores were independent of one another.
- □ F. None of the requirements are satisfied.
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