A college entrance exam company determined that a score of 25 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 200 students who completed this core set of courses results in a mean math score of 25.5 on the college entrance exam with a standard deviation of 3.5. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 25 on the math portion of the exam? Complete parts a) through d) below. ) State the appropriate null and alternative hypotheses. Fill in the correct answers below The appropriate null and alternative hypotheses are H, - 25 versus H, > 25. b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply A. The students' test scores were independent of one another O B. The students were randomly sampled. OC. The sample size is larger than 30. D. None of the requirements are satisfied c) Use the P-value approach at the a= 0.05 level of significance to test the hypotheses in part (a) Identify the test statistic. %2.02 (Round to two decimal places as needed.) Identify the P-value P-value =O(Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. the null hypothesis and claim that there V sufficient evidence to conclude that the population mean is V than 25.

Name: A college entrance exam company determined that a score of 25 on the
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A college entrance exam company determined that a score of 25 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