A study was done to determine the efficacy of three different drugs-A, B, and C-in relieving headache pain. Over the period covered by thestudy, 50 subjects were given the chance to use all three drugs. The following results were obtained.20 reported relief from drug A20 reported relief from drug B31 reported relief from drug C8 reported relief from both drugs A and B13 reported relief from both drugs A and C14 reported relief from both drugs B and C43 reported relief from at least one of the drugsNote that some of the 20 subjects who reported relief from drug A may also have reported relief from drugs B or C. A similar occurrence may betrue for the other data.(a) How many people got relief from none of the drugs?7(b) How many people got relief from all three drugs?(c) Let A be the set of all subjects who got relief from drug A, B the set of all subjects who got relief from drug B, and C the set of all subjectswho got relief from drug C. Fill in the numbers for all eight regions of the following diagram.Sample of Students☐ ☐(d) How many subjects got relief from drug A only?☐7

Given: 20 reported relief from drug An(A) = 2020 reported relief from drug Bn(B) = 2031 reported…

Answered: A study was done to determine the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The following results are from an independent-measures, two-factor study with n = 5 participants in each treatment condition. Use a two-factor ANOVA with α = .05 to evaluate the main effects and the interaction. Include a source table for your ANOVA.
Consider the following studies. Study I: A researcher randomly divided 200 high school students into two groups. The first group was told to not exercise. The second group was told to exercise at least 5 hours each week. At the end of two months, the heart rates of each participant in each group were measured at rest. It was found that the group that exercised 5 hours a week had a significantly lower average heart rate. Study II: A researcher gathered 200 high school students randomly, asked them how long they exercised each week, and then measured their heart rates at rest. It was found that students who exercised at least 5 hours a week had a significantly lower average heart rate. Part A: Which study was experimental? Why? Study IStudy II Part B: List the explanatory and response variables in the studies. Explanatory: heart rate; Response: exercise timeExplanatory: student; Response: amount of exerciseExplanatory: exercise time; Response: heart rate Part C: State whether the…
A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbells of strangers living in a large City or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighbourhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes: Helpfulness to strangers Admitted strangers into their home Didnot admit strangers into their home Big city dwellers 60 90 Small town dwellers 70 30 State the dependent and independent variable Is this a directional or non directional
Find A= %b= %c= %d= %
In a randomized clinical trial, 888 people were placed given Drug A and 930 were given Drug B. The researcher's goals were to determine which drug had better efficacy against T.B. Of those who were given Drug A, 300 contracted T.B. Of the subjects who were given Drug B, 500 contracted T.B. Calculate and interpret the risk ratio of Drug B compared to Drug A for getting T.B.? 10. In Box City, an influenza vaccine was tested on 1,000 people, 400 males and 600 females. Of the males, 50% contracted influenza after vaccination versus 30% of the females. Calculate and interpret the risk ratio of females compared to males of contracting influenza. 11.
A group of 600 patients who suffer from seasonal allergies is asked to participate in a study to determine the effectiveness of a new medication. The patients are divided randomly into two groups, one was given the actual medication and one received a placebo pill. After 2 months of treatment, 64% of the patients who took the medication had fewer allergy symptoms, while only 36% of those who took the placebo had fewer allergy symptoms. a. What is the treatment variable? b. What is the response (or outcome) variable? c. Was this an observational study or a controlled experiment? Explain how you know. d. Assuming the rest of the study was well-designed, use your answers to discuss whether it would be reasonable to conclude that taking the new medication caused fewer allergy symptoms.
This question concerns the vector field F =−xy²i-x²yj + z(x² + y²) k. (a) Calculate the divergence of F. Use the divergence theorem to show that the flux of F over any closed surface is equal to zero. (b) A cylinder of height h and radius R has its base in the xy-plane and its axis of symmetry along the z-axis, as shown in the diagram below. X Z 0 R h At Th Y Fune PI Calculate the flux of F over the curved portion S of the surface of the cylinder by using the result of part (a) to relate the flux of F over S to the flux of F over the flat top surface T and the flux of F over the flat bottom surface B. (Hint: Calculating the flux of F over T and B is easier in cylindrical coordinates.) A4
State the hypotheses for each of the three separate tests included in the two-factor ANOVA.
A psychologist has developed a mental alertness test. She wishes to study the effects (if any) of type of food consumed on mental alertness. Twenty-one volunteers were randomly divided into two groups. Both groups were told to eat the amount they usually eat for lunch at noon. At 2:00 P.M., all subjects were given the alertness test. Group A had a low-fat lunch with no red meat, lots of vegetables, carbohydrates, and fiber. Group B had a high-fat lunch with red meat, vegetable oils, and low fiber. The only drink for both groups was water. The test scores are shown below. Group A 75 82 96 54 78 59 67 53 97 85 66 Group B 70 80 79 60 62 71 52 69 64 88 51 74 Use a 10% level of significance to test the claim that there is no difference in mental alertness distributions based on type of lunch. (a) What is the level of significance?State the null and alternate hypotheses. Ho: Distributions are different. H1: Distributions are the same.Ho: Distributions are the same. H1:…
To study the effectiveness of possible treatments for insomnia, a sleep researcher conducted a study in which four participants were instructed to count sheep (the Sheep Condition), four were told to concentrate on their breathing (the Breathing Condition), and four were not given any special instructions. The average number of minutes taken for each participant to fall asleep over the next seven days were 14, 28, 27, and 31 minutes for the Sheep condition; 25, 22, 17, and 14 minutes for those in the Breathing condition; and 45, 33, 30, and 41 for the Control condition. Using the .05 significance level, did the different techniques have different effects? What is the null hypothesis? What is the research hypothesis?
A researcher finds 1000 mildly overweight women who exercise regularly, have not had a heart attack, and are willing to participate in the study. She randomly assigns 500 of the women to take an appetite suppressant. The other 500 women are given a placebo. Both groups are followed for five years, and the amount of weight lost after this time is recorded. The response variable in the experiment is: a. the use of a control group taking a placebo. b. the length of the study. c. the weight lost by women in the study. d. the treatment taken by women in the study—appetite suppressant or placebo.

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