. Determine whether the samples are independent or dependent.

1. Determin" rel="nofollow">ine whether the samples are in" rel="nofollow">independent or dependent. The effectiveness of a new headache medicin" rel="nofollow">ine is tested by measurin" rel="nofollow">ing the amount of time before the headache is cured for patients who use the medicin" rel="nofollow">ine and another group of patients who use a placebo drug. Explain" rel="nofollow">in. Solution: Instructor Comments: 2. Determin" rel="nofollow">ine whether the samples are in" rel="nofollow">independent or dependent. The effectiveness of a headache medicin" rel="nofollow">ine is tested by measurin" rel="nofollow">ing the in" rel="nofollow">intensity of a headache in" rel="nofollow">in patients before and after drug treatment. The data consist of before and after in" rel="nofollow">intensities for each patient. Explain" rel="nofollow">in. Solution: Instructor Comments: 3. In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Test the claim that the proportion of smokers in" rel="nofollow">in the two age groups is the same. Use a significance level of 0.01. Show all steps of the hypothesis test and all calculations. Solution: Instructor Comments: 4. A researcher wishes to determin" rel="nofollow">ine whether people with high blood pressure can reduce their blood pressure by followin" rel="nofollow">ing a particular diet. Use the sample data below to construct a 99% confidence in" rel="nofollow">interval for µ1 - µ2 where µ 1 and µ2 represent the mean for the treatment group and the control group respectively. Show all steps of the hypothesis test and all calculations. Use the followin" rel="nofollow">ing t-distribution table - http://www.itl.nist.gov/div898/handbook/eda/section3/eda3672.htm Treatment Group Control Group n1 = 85 n2 = 75 189.1 = 203.7 s1 = 38.7 s2 = 39.2 Solution: Instructor Comments: For questions 5 – 9 below, use the traditional method of hypothesis testin" rel="nofollow">ing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations. Five students took a math test before and after tutorin" rel="nofollow">ing. Their scores were as follows. Student A B C D E Before 71 66 67 77 75 After 75 75 65 80 87 Usin" rel="nofollow">ing a 0.01 level of significance, test the claim that the tutorin" rel="nofollow">ing has an effect on the math scores. 5. State the null and alternative hypotheses. Solution: Instructor Comments: 6. Fin" rel="nofollow">ind d, , and sd, Solution: Instructor Comments: 7. Fin" rel="nofollow">ind the value of the test statistic, t. Solution: Instructor Comments: 8. Fin" rel="nofollow">ind the critical value(s) and state the decision about the null hypothesis. Solution: Instructor Comments: 9. State the conclusion in" rel="nofollow">in non-technical terms. Solution: Instructor Comments: