Question

TU.3.13-1 EQuestion 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 200 students who completed this core set of pourses resauts in a mean math score of 21.2 on the coliege entrance exam with a standard devistion of 3.3. Do these reauts suggest that students who complete the core curriculum are ready for college-level mathematics? Tha is, are they scoring above 21 on the math portion of the exam? Complete parts a) through d) below a) State the appropriate nul and alternative hypotheses. Fil in the correct answers below The appropriate nul and altemative hypotheses are H 21 versus H 21 b) Venty 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 55 C. The students ware randomly sampled D. None of the requirements are satisfied c) Use the P-value approach at the a D.10 level of significance to test the hypotheses in part (a). ldentify the test statistic to (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer Check Anr Cloar A parts 2 remainina Javascript:doixercisel2);

Answer 1

Given that

$\mu$ = 21

X_bar = 21.2

$\sigma$ = 3.3

n=200

Test statistic Z is given by formula

Z = (x_bar- $\mu$ ​​​​​​)/($\sigma$/$\sqrr$$\sqrt$n)

= (21.2-21)/(3.3/$\sqrt$200)

Z = 0.86

Hence test statistic Z = 0.86