Question

44 A college entrance exam company detemined thata score of 24 on the mathematics portion of the exam suggests thataudent is ready for college-level mathematics. To achieve this goal, the compeny ecommends that students take a core cumioulum of math courses in high school. Suppose arandom sample of 200 sudents who completed this core set of courses resuts in a mean math score of 242 on the colege entrance eam with a standard deviation of 3.2. Do these resuts ggest that students who complete the core cumriculum are eady for collegelevel mathematios? That are they scoring above 24 on the math portion of the exam? Complete parts a) tough d) below a State the appropriate nul and atemative hypotheses. F in the comect anwers below The appropriate n and atemative hypotheses are H versu H b) Verity that the requirements to pertom the est using the distrbution are satisfed. Check all that apply DA The sample size is larger than 30 D. The shudents were randomly sampled DC The students est soores were independent of one another DO None of the requirements are satisfed c Ue the Pvalue approach at the a 010 level of signficance to test the hypotheses in part ) identity the test statistic Cick to select your anwerb 3. 4. 7. E Y. ది cops fock shift command option control option command

Answer 1

a.)

Ho : μ = 24 H, :μ> 24

b.)Ans: A, B,C

c.)

Test Statistic(t) - 2 - Test Statistic(t) = s/n - 3.2/ 200 24.2 – 24 = 0.88 Degree of freedom = n -1 = 199 p - value = P(t > 0.88) = 0.1900

Fail to reject the null hypothesis and claim that there is not sufficient evidence to conclude that the population mean is Greater(>) than 24.