In clinical tests of the drug Lipitor (generic name, atorvastatin) 863 patients were treated with 10 mg doses of atorvastatin, and 19 of those patients experienced flu symptoms (based on data from Parke-Davis). Use a 0.01 significance level to test the claim that the percentage of treated patients with flu symptoms is greater than the 1.9% rate for patients not given the treatments.
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- What is an experiment?Two separate samples receive two different treatments. The first sample has n=9 with M=50 and SS=710. And the second sample has n=6 with M=37 and SS=460. Are there significant treatment differences between these two samples? Use a=.05A study is designed to evaluate the impact of a daily multivitamin on students’ academic performance. One hundred sixty students are randomly assigned to receive either the multivitamin or a placebo and are instructed to take the assigned drug daily for 20 days. On day 20, each student takes a standardized exam and the mean exam scores are compared between groups. Identify what type of study this is.
- A researcher was interested in how the effects of stress were different in people with our without military training. A equal number of participants were recruited that either had no military experience or had completed military experience. All participants were asked to give a speech without preparation while being judged by a panel of experts. Their heart rates were monitored during the speech and an average heart rate was calcuated for each participant. Which statistical test would be best to determine if there is a significant difference between groups? one-sample t-test dependent samples t-test independent samples t-test ANOVASuppose an epidemiologic investigation of people entering a STD clinic is performed. It is found that 160 of 200 patients who are diagnosed as having gonorrhea and 50 of 105 patients who are diagnosed as having nongonococcal urethritis have had previous episode of urethritis. Is there any association between present diagnosis and prior episodes of urethritis? (Calculation: test statistic=32.17). Use the data in the table to test the claim, at alpha=0.05, that type of crime is independent of whether the criminal is a stranger (Calculation: Test statistics=119.33) Observed Homicide Robbery Assault Criminal was a stranger 12 379 727 Criminal was a relative 39 106 642Medical tests were conducted to learn about drug-resistant tuberculosis. Of 142 casestested in New Jersey, 9 were found to be drug-resistant. Of 268 cases tested in Texas, 5were found to be drug-resistant. Do these data suggest a statistically significant differencebetween the proportions of drug-resistant cases in the two states? Use a .02 level of significance. What is the p-value, and what is your conclusion?
- The sales rep of a waterbed claims that 25% of the Filipino died because of cardiovascular diseases. A researcher wants to test this claim. A hospital record shows that out of a random sample of 200 dead patients, 55 patients died because of cardiovascular diseases. Does the data provide sufficient evidence to support the claim of the sales rep? Use 0.03 level of significance.Miller and Vanhoutte (A1) conducted experiments in which adult ovariectomized female mongrel dogs were treated with estrogen, progesterone, or estrogen plus progesterone. Five untreated animals served as controls. A variable of interest was concentration of progesterone in the serum of the animals 14 to 21 days after treatment. We wish to know if the treatments have different effects on the mean serum concentration of progesterone. TABLE 8.2.3 Concentration of Serum Progesterone (ng / dl) in Dogs Treated with Estrogen, Progesterone, Estrogen Plus Progesterone, and in Untreated Controls Treatment Estrogen + Progesterone Untreated Estrogen Progesterone 117 124 40 440 264 221 2664 2078 3584 605 626 385 88 136 475 1540 40 1840 Total 409 1061 2091 11706 15267 Mean 81.80 265.25 522.75 2341.20 848.1667 SOURCE: Virginia M. Miller, Ph.D. Used by permission.A group of health conscious researchers were interested in ways to lower blood pressure. The study consisted of 90 participants. 30 participants were randomly assigned to eat a heart healthy diet, 30 were randomly assigned to a heart healthy exercise routine, and 30 were randomly assigned to do nothing and serve as a control. After a month of their assigned intervention, participants' blood pressure was measured. Which statistical test should be used to compare the 3 intervention types on post-treatment blood pressure? df between= ? df within= ? df total= ?
- In an experiment, 11% of 734 subjects treated with viagra experienced headaches. In the same experiment, 3% of 725 subjects given a placebo experienced headaches. Use a .05 level of significance to test the claim that the proportion of headaches is greater for those treated with viagra.Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. Use a significant level of 5%. Compact cars (643; 655; 702). Mid-size cars (469; 427; 525). Full-size cars (484; 456; 402). SST = 86049.556. TSS = 96303.556. State the appropriate hypotheses. A. H0: μ1 = μ2 = μ3 vs H1: At least 2 of the means differ B. Ho: μ1 ≠ μ2 ≠μ3 vs H1: μ1 = μ2 = μ3 C. Ho: At least 2 of the means differ vs H1: μ1 = μ2 = μ3 D. H1: μ1 = μ2 = μ3 vs Ho: At least 2 of the means differ