QuestionA 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 150 students who completed this core set of courses results in a mean math score of 20.3 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 20 on the mathematics portion of the exam? Complete parts a) through d) below.
Click the icon to view the table of critical $t$-values. (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below.
The appropriate null and alternative hypotheses are $\mathrm{H}_{0}$ : (Type integers or decimals. Do not round.) $\square$ 20 versus $\mathrm{H}_{1}$ : $\square$ 20. (b) Verify that the requirements to perform the test using the $t$-distribution are satisfied. Select all that apply. A. The sample data come from a population that is approximately normal. B. The sample size is larger than 30 . C. The students were randomly sampled. D. The students' test scores were independent of one another. E. A boxplot of the sample data shows no outliers. F. None of the requirements are satisfied.