# Question

The ACT is a college entrance exam. In addition to administering this exam, researchers at ACT gauge high school students’ readiness for college-level subjects. For example, ACT has determined that a score of 22 on the mathematics portion of the ACT suggests that a student is ready for college-level mathematics. To achieve this goal, ACT recommends that students take a core curriculum of math courses in high school.

This core is 1 year of credit each in Algebra I, Algebra II, and Geometry. Suppose a random sample of 200 students who completed this core set of courses results in a mean ACT math score of 22.6 with a standard deviation of 3.9. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 22 on the math portion of the ACT?

(a) State the appropriate null and alternative hypotheses.

(b) Verify that the requirements to perform the test using the t-distribution are satisﬁed.

(c) Use the classical or P-value approach at the α = 0.05 level of signiﬁcance to test the hypotheses in part (a).

(d) Write a conclusion based on your results to part (c).

This core is 1 year of credit each in Algebra I, Algebra II, and Geometry. Suppose a random sample of 200 students who completed this core set of courses results in a mean ACT math score of 22.6 with a standard deviation of 3.9. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 22 on the math portion of the ACT?

(a) State the appropriate null and alternative hypotheses.

(b) Verify that the requirements to perform the test using the t-distribution are satisﬁed.

(c) Use the classical or P-value approach at the α = 0.05 level of signiﬁcance to test the hypotheses in part (a).

(d) Write a conclusion based on your results to part (c).

## Answer to relevant Questions

Do students who learned English as well as another language simultaneously score worse on the SAT Critical Reading exam than the general population of test takers? The mean score among all test takers on the SAT Critical ...In 2002, the mean age of an inmate on death row was 40.7 years, according to data obtained from the U.S. Department of Justice. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She ...Google became a publicly traded company in August 2004. Initially, the stock traded over 10 million shares each day! Since the initial offering, the volume of stock traded daily has decreased substantially. In 2007, the mean ...According to the Nielsen’s Television Audience Report, the mean number of televisions per household in 2009 was 2.9. Treating the results of the StatCrunch survey as a random sample of U.S. residents, determine whether ...A simple random sample of size n = 200 individuals with a valid driver’s license is asked if they drive an American-made automobile. Of the 200 individuals surveyed, 115 responded that they drive an American-made ...Post your question

0