Question

Question Help A college entrance exam company determined that a score of 21 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 21.6 on the college entrance excam with a standard deviation of 3.4. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 21 on the math portion of the exam? Complete parts a) through d) below. a) State the appropriate nuil and alternative hypotheses. Fal in the correct answers below. The appropriate null and alternative hypotheses are Ho versus HD 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 students' test scores were independent of one another C. The students were randomly sampled D. None of the requirements are satisfied Question Viewer 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. to=(Round to two decimal places as needed.) Identify the P-value P-value = (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. the noll hypothesis and claim that there sucient evidence to conclude that the population mean is than 21

Answer 1

solution? S= 3.4 Given na 250, = 2116 g) Test Hypothesis! Hoi M=21 Hai ll yal 4) The sample size is larger than 30 c) The students are randomly samples. c) test statistics x-ll to = 21-6-21 slun 2.7902 3.4 to = 2.7902 t distribut osing Р value's A& d=249, te 2-7902 right tail pvalue = 0.0028 d Reject Ho. There is sufficient evidence to conclude that the population mean is greater than 21