Question

5. A college entrance exam company determined that a score of 22 on the mathematics portion of the exam suggests that astudent is ready for college-level mathematics. To achieve this

goal, the company recommends that students take a corecurriculum of math courses in high school. Suppose a random sample of 150 students wha completed this core set ofcourses results in a mean math score of 22.3 on the college entrance exam with a standard deviation of 3.8. Do theseresults suggest that students who complete the córe curriculum are ready for college-level mathematics? That is, are theyscoring above 22 on the math portion of the exam? Complete parts a) through d) below.-el 4 lu en a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses areHо: (1)(2)versusH;: (3) b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. A. The students were randomly sampled.B. The students' test scores were independent of one another.C. The sample size is larger than 30.D. None of the requirements are satisfied. c) Use the classical approach at the a=0.10 level of significance to find the critical value and test the hypotheses. Identifythe test statistic. to =(Round to two decimal places as needed.) Identify the critical value. Select the correct choice below and fill in the answer box within your choice.(Round to two decimal places as needed.) A. ta/2=%3D O B. ta = d) Write a conclusion based on the results. Choose the correct answer below. sufficient evidence to conclude that the(5).the null hypothesis and claim that there (6)than 22.population mean is (7).

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