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A college entrance exam company determined that a score or 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 or math courses in high school Suppose a random sample or 250 students who completed this core set of courses results in a mean math score of 25 6 on the college entrance exam With a standard deviation of3 2 Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring aoove 25 on the math portion ofthe exam? Complete parts a) through :1) below a) State the appropriate null and alternative hypotheses, Fill in the correct answers below The appropriate null and alternative hypotheses are ii V Y versus Hl V V b] Verify that the requirements to perform the test uSing the trdlSUlDUllUl'l are satisfied. Check all that apply . The sample size is larger than 30. A B. The students were randomly sampled. C. The students' test scores were independent of one another D . None oftne requirements are satised c) Use the Prvalue approach at the or : 0.05 level of significance to test the hypotheses in part (a). Idel'ltiW the test Statistic. '0 = (Round to two decimal places as needed) Identity the P-Value, Prvalue= (Round to three decimal places as needed ) d] Write a conclusion based on the results Choose the correct answer below Y the null hypothesis and claim that there Y sufmentewdence to conclude that the population mean is V than 25