A college entrance exam company determined that a score of 22 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 22.6 on the college entrance exam with a standard deviation of 3.8, Do these results suggest that students who complete the core oun'iculum are ready for college-level mathematics? That is, are they scoring above 22 on the mathematics portion of the exam? Complete parts a) through d) below. a Click the icon to view the table of critical tvalues, The appropriate null and alternative hypotheses are H\": E, V versus H1: V V (Type integers or decimals. Do not round.) (b) Verify that the requirements to perform the test using the t-distribution are satised. Select all that apply. :I A. The students' test scores were independent of one another. :I B. The sample size is larger than 30. :I C. The sample data come from a population that is approximately normal. :I D. The students were randomly sampled. :l E. A boxplot of the sample data shows no outliers. :I F. None of the requirements are satised. (0) Use the P-value approach at the a = 0.05 level of signicance to test the hypotheses in part (a). Identify the test statistic. to = (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range E I!\" Write a nnnnll Icinn hasnd an MA rnalllts