A college entrance exam company determined that a score of 24 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 24.5 on the college entrance exam with a standard deviation of 3.7. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 24 on the mathematics portion of the​ exam? Complete parts (a) through (d) below. a) State the appropriate null and alternative hypotheses.
b) Verify that the requirements to perform the test using the t-distribution are satisfied.
A. The students were randomly sampled.
B. The sample size is larger than 30.
C. The students' test scores were independent of one another.
D. None of the requirements are satisfied.
c) Use the P-value approach at the alpha = 0.05 level of significance to test the hypotheses in part (a).
ldentify the test statistic.
Identfy the P-value.
d) Write a conclusion based on the results.