A college entrance exam company determined that a score of 20 on the mathematics portion of the exam suggests that a student is ready forcollege-level mathematics. To achieve thisgoal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 20.2 on the college entrance exam with a standard deviation of 3.7. Do these results suggest that students who complete the core curriculum are ready forcollege-level mathematics? Thatis, are they scoring above 20 on the math portion of theexam? Complete partsa) throughd) below.

a) State the appropriate null and alternative hypotheses. Fill in the correct answers below.

The appropriate null and alternative hypotheses are H0:=20 versus H1: > 20.

b) Verify that the requirements to perform the test using thet-distribution are satisfied. Check all that apply.

A.

Thestudents' test scores were independent of one another.

Your answer is correct.

B.

The sample size is larger than 30.

Your answer is correct.

C.

The students were randomly sampled.

Your answer is correct.

D.

None of the requirements are satisfied.

c) Use theP-value approach at the alpha =0.10 level of significance to test the hypotheses in part(a).

Identify the test statistic.

t 0 = 0.66

(Round to two decimal places asneeded.)

Identify theP-value.

P-value = 0.255.

(Round to three decimal places asneeded.)

Conclusion based on the results.

Reject or do not reject the null hypothesis and claim that there is or is not sufficient evidence to conclude that the population mean is greater or less than 20.