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Q1.

The ACT is a college entrance exam. 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 course: Algebra 1, Algebra 2, and Geometry. Suppose a random sample of 200 students who completed this core set of courses results in a mean ACT math 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) Use the classical and p-value approach at the = . level of

significance to test the hypotheses in part (a). c) Write a conclusion based on your result to part (b)

Q2.

Test whether p1 p2. Sample data: x1 = 804, n1 = 874, x2 = 902, n2 = 954. Conduct the test at 0.05 level of significance by determining

a. the null and alternative hypotheses. b. the test statistic c. the critical value d. the P-value

Assume that the samples were obtained independently using simple random sampling.

Q3.

Construct a confidence interval for at the given level of confidence.

= , = , = , = , 99% confidence.