A college entrance exam company determined that a score of 23 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 cote curriculum of math courses in Wigh school Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 23.6 on the college entrance exam with a standard deviation of 36 Do these results suggest that students who complete the core curriculum are ready for college level mathematics? That is, are they scoring above 23 on the mathematics portion of the exam? Complete parts a) through d) below a) State the appropriate null and alternative hypotheses Fill in the correct answers below . The appropriate null and alternative hypotheses are Versus 7 b) Verify that the requirements to perform the test using the t-distribution are satisfied Check all that apply A. The sample size is larger than 30 B. The sample data come from a population that is approximately normal C. The students' test scores were independent of one another D. A boxplot of the sample data shows no outliers, E. The students were randomly sampled F. None of the requirements are satisfied c) Use the P-value approach at the a=0.10 level of significance to test the hypotheses in part (a) Identify the test statistic 10(Round to two decimal places as needed) d) Write a conclusion based on the results. Choose the correct answer below. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 23 A college entrance exam company determined that a score of 23 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 cote curriculum of math courses in Wigh school Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 23.6 on the college entrance exam with a standard deviation of 36 Do these results suggest that students who complete the core curriculum are ready for college level mathematics? That is, are they scoring above 23 on the mathematics portion of the exam? Complete parts a) through d) below a) State the appropriate null and alternative hypotheses Fill in the correct answers below . The appropriate null and alternative hypotheses are Versus 7 b) Verify that the requirements to perform the test using the t-distribution are satisfied Check all that apply A. The sample size is larger than 30 B. The sample data come from a population that is approximately normal C. The students' test scores were independent of one another D. A boxplot of the sample data shows no outliers, E. The students were randomly sampled F. None of the requirements are satisfied c) Use the P-value approach at the a=0.10 level of significance to test the hypotheses in part (a) Identify the test statistic 10(Round to two decimal places as needed) d) Write a conclusion based on the results. Choose the correct answer below. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 23