A college entrance exam company determined that a score of
20
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
20.4
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 for college-level mathematics? That is, are they scoring above
20
on the mathematics portion of the exam? Complete parts a) through d) below.
Question content area bottom
Part 1
a) State the appropriate null and alternative hypotheses. Fill in the correct answers below.
The appropriate null and alternative hypotheses are
H Subscript 0:
▼
x overbarx
muμ
▼
less than<
equals=
less than or equals≤
greater than>
greater than or equals≥
enter your response here
versus
H Subscript 1:
▼
muμ
x overbarx
▼
greater than>
greater than or equals≥
less than or equals≤
equals=
less than<
enter your response here.