A professor at a community college claims that a college algebra student can inc

Question

A professor at a community college claims that a college algebra student can increase his or her score on an exam if the person is provided with a pre-test the week before the exam. To test her theory, she selected 16 college algebra students at random and gave these students a pre-test the week before an exam. She also selected a random sample of 12 students who were given the same exam but did not have access to a pre-test. The first group had a mean score of 79.4 with standard deviation 8.8. The second group had a mean score of 71.2 with standard deviation 7.9. Test to see if the population mean score of students who get a pre-test is different from the population mean score of those who do not. Use a 5% significance level. (a) Does this problem involve independent or dependent samples? Explain. (b) State the null and alternate hypotheses. (c) Would you perform a left-tailed, right-tailed, or two-tailed test? Why? (d) Would you use use the normal distribution (z) or Student

Explanation / Answer

a)Does this problem involve independent or dependent samples? ANSWER: Independent variable is score (b) State the null and alternate hypotheses. ANSWER: Null Hypothesis = Same scores between groups Alternate Hypothesis = Different Scores (c)Would you perform a left-tailed, right-tailed, or two-tailed test? Why? ANSWER: Two-Tailed test because question asks is 'pre-test' is different than 'post-test' (d)Would you use a t critical value or a z critical value? Why? ANSWER: Must use t-critical value since it is sample data (e)What is the critical value? (f)Compute the test statistic.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.