A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use a = 0.05 and the following data to test the hypothesis and comment on the value of the commercial. Purchase Rating After Before Individual ه ک ہے :O H H₂: H₂ = 0 کا ہے :M © ه < ہے :H 1 ⒸH₂² Hd 20 H₂: Hd=0 2 3 4 5 6 7 8 6 6 7 4 3 9 7 6 5 4 7 3 5 State the null and alternative hypotheses. (Use # mean rating after - mean rating before.) ⒸH₂² H₂ = 0 H₂: Hy=0 8 5 7 Hoi Hd>0 H:Hd So Calculate the value of the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.

the relative risk of developing lung cancer are 15.0%. which of the following is most accurate interpretation of this information? A. individuals who have lung cancer are 15.0% more likely to smoke than individuals who do not have lung cancer B. individuals who have lung cancer are 15.0% times more likely to smoke than indivdiuals who do not have lung cancer c. Indivduals who smoke are 15.0 times more likely to develop lung cancer than indivduals who do not smoke. d. Individuals who smoke are 15.0% more likely to develop lung cancer than individuals who do not smoke.

Factor V is a protein involved in the forming of blood clots. The higher the level of factor V, the faster the blood clots. A Blood Transfusions Service is interested in the effects of sterilization of blood plasma because factor V is unstable and may break down during sterilization. The table below gives measured levels of factor V in blood samples from nine donors. Both pre- and post-sterilization measurements are given for each person. Test whether the mean factor V levels are different post-sterilization. Run the test at a 5% level of significance. Give each of the following  1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. Factor V measurements Donor number Pre-Sterilization Post-Sterilization 1 1025 985 2 1060 1030 3 953 923 4 847 892 5 750 650 6 855 759…

Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005).  Based on pretreatment depression scores, patients were divided into four groups based on their level of depression.  After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. LowModerate HighModerate ModeratelySevere  Severe 2.2 1.4 3.4 3.4 1.5 1.4 3.5 2.8 2.8 3.1 2.7 2.3 1.7 2.6 4.4 3.6 1.3 1.5 2.6 3.2 1.3 2.6 2.8 3.5 Fill in the summary table for the ANOVA test:   degrees of freedom (d.f.) Sum of Squares (S.S.) Mean Square (M.S.) Between       Within       Total         From this table, obtain the necessary statistics for the ANOVA:F-ratio (F-test statistic):  p-value:  η2η2 (Eta squared = Sum of squares betweenSum of squares totalSum…