A clinical trial is run to assess the effects of different forms of regular exercise on HDL levels in persons between the ages of 19 and 29. Participants in the study are randomly assigned to one of three exercise groups—weight training, aerobic exercise, or stretching/yoga—and instructed to follow the program for 8 weeks. Their HDL levels are measured after 9 weeks and are summarized below. Exercise GroupNMeanStd DevWeight Training2049.710.2Aerobic Exercise2043.111.1Stretching/Yoga2057.012.5 Complete the following ANOVA table. Source ofErrorSums of SquaresdfMean SquaresFBetween Within6157.32 Total 1.Write the hypotheses to be tested. 2. Write the decision rule. Please find the F for the closest df 3. What is the conclusion?

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Description: A clinical trial is run to assess the effects of different forms of regular exercise on HDL levels in persons between the ages of 19 and 29. Participants in the study are randomly assigned to one of three exercise groups—weight training, aerobic exer

Given: Exercise group N Mean Std. Dev Weight Training 20 49.7 10.2 Aerobic…

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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A clinical trial is run to assess the effects of different forms of regular exercise on HDL levels in persons between the ages of 18 and 29. Participants in the study are randomly assigned to one of three exercise groups (Weight training, Aerobic exercise or Stretching/Yoga) and instructed to follow the program for 8 weeks. Their HDL levels are measured after 8 weeks and are summarized below. Exercise Group N Mean Std Dev Weight Training 20 49.7 10.2 Aerobic Exercise 20 43.1 11.1 Stretching/Yoga 20 57.0 12.5 Is there a significant difference in mean HDL levels among the exercise groups? Run the test at a 5% level of significance. HINT: SSerror = 7286.5.
A sociologist wants to investigate the question, "Is there a relationship between texting during class and grade-point-average (GPA) among high school seniors in a large district?" Which study design is most appropriate? Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester, obtain each student’s GPA from the appropriate admissions and records office. Compare the GPA of students who routinely text during class to the GPA of students who do not text during class. Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester,…
The percentage of 12- to 17-year-olds who reported talking at least once in the past year with their parents about the dangers of drug, tobacco, or alcohol is 60% nationally. A state youth council believes this proportion is higher in their state, where there has been an intense media campaign about this issue. A survey of randomly chosen students from across the state shows 1032 of 1642 students reporting they are having these conversations with their parents. Use an alpha = .5
A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Affective Disorders Cognitive Disorders Drug-Related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 Using alpha = 0.05, is there a significant difference in length of stay among diagnosis categories? Show all five steps of hypothesis testing. For additional practice, compute the means and standard deviations for each group. What is the purpose of a post hoc test? What does it tell us? Explain why we do not need a post hoc test if there are only two groups in our study. Conduct Tukey's HSD post hoc test to determine where there is a difference in the three groups.
A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Affective Disorders Cognitive Disorders Drug-Related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 Using alpha = 0.05, is there a significant difference in length of stay among diagnosis categories? Show all five steps of hypothesis testing and compute the means and standard deviations for each group.
Researchers are interested in the effectiveness of a new anti-retroviral medication at increasing 5 year survival for HIV infected persons with Hepatitis C. In order to test the efficacy of the new study drug, the researchers randomly assigned participants to receive either the new medication or a placebo. The following table summarizes preliminary results of the trial. Deceased Non-Deceased Total New Vaccine 55 84 139 Placebo 61 67 128 Total 116 151 267 A) Calculate the relative risk for mortality among those treated with the new vaccine versus the placebo. B) Interpret the relative risk measurement.
A double-blind randomized experiment compared the effects of the drug Lorcaserin and a placebo on weight loss in overweight adults. All subjects were also required to undergo diet and exercise counseling. The study involved 1000 participants where half of them would take Lorcaserin and half the placebo. The researchers found that after a year the treatment group had an average weight loss of 5.8 kg while the placebo group had an average weight loss of 3.9 carmona, kg. Based on this information researchers need to decide if Locarserin can be a possible treatment for weight loss. a. What would be a Type I error in this context? Your answer should consist of both the researchers’ decision and what the reality is. b. What would be a Type II error in this context? Your answer should consist of both the researchers’ decision and what the reality is.
An experiment to determine if a migraine medication decreases a person's average number of monthly migraines is performed on 400 people who report they have several migraines a month. Researchers randomly assigned 200 people to the treatment group and 200 people to the control group. After the study, the researchers determined that 48 of the subjects in the treatment group and 28 of the subjects in the control group average fewer migraines per month. The data from the two groups are resampled 150 times, and the table shows the distribution of the differences of the proportions for the reconfigured treatment and control groups.
An article23 summarized results from the Nurses’ Health Study and the Health Pro- fessionals Follow-Up Study. The article reported (with RR = relative risk) that “Com- pared with nonregular use, regular aspirin use was associated with lower risk of overall cancer (RR 0.97; 95% CI 0.94, 0.99), which was primarily due to a lower incidence of gastrointestinal cancers, especially colorectal cancers (RR 0.81; 95% CI 0.75, 0.88).” Identify the response variables and the explanatory variable for these two results. Explain how to interpret the confidence interval about colorectal cancers. Would the association with overall cancer be considered (i) significant or non- significant? (ii) strong or weak? Explain. question 1 and 2
A clinical psychologist is interested in comparing the effectiveness of short term relaxation and cognitive-behavioral therapy in treating mild depression. An experiment is conducted in which 15 patients with mild depression are randomly selected and assigned 5 each to a relaxation therapy group, a cognitive/behavioral therapy group, and an attention placebo group. Therapy is administered until the patient is judged no longer depressed or until 10 treatment sessions have elapsed. The following data is obtained. Scores are the number of sessions for each patient. Using an alpha of .05, test the hypothesis that there is a difference in effectiveness among these therapies. Cognitive/Behavioral Therapy Relaxation Therapy Attention-PlaceboGroup 56647 68797 5 8 9 7 6 What is the Null Hypothesis? What is the Alternative Hypothesis?
A clinical psychologist is interested in comparing the effectiveness of short term relaxation and cognitive-behavioral therapy in treating mild depression. An experiment is conducted in which 15 patients with mild depression are randomly selected and assigned 5 each to a relaxation therapy group, a cognitive/behavioral therapy group, and an attention placebo group. Therapy is administered until the patient is judged no longer depressed or until 10 treatment sessions have elapsed. The following data is obtained. Scores are the number of sessions for each patient. Using an alpha of .05, test the hypothesis that there is a difference in effectiveness among these therapies. Cognitive/Behavioral Therapy Relaxation Therapy Attention-PlaceboGroup 56647 68797 5 8 9 7 6 What is the appropriate test?
A hospital conducted a study of the waiting time in its emergency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing waiting time for emergency room cases that did not require immediate attention. To study this, a random sample of 15 emergency room cases that did not require immediate attention at each location was selected on a particular day, and the waiting times (measured from check into when the patient was called into the clinic area) were collected and stored in the table. At the 0.05 level of significance, is there evidence of a difference in the mean waiting times in the four locations? Main Satellite 1 Satellite 2 Satellite 3 120.08 30.75 75.86 54.05 81.90 61.83 37.88 38.82 78.79 26.40 68.73 36.85 63.83 53.84 51.08 32.83 79.77 72.30 50.21 52.94 47.94 53.09 58.47 34.13 79.88 27.67 86.29 69.37 48.63 52.46 62.90 78.52 55.43 10.64 44.84 55.95 64.06 53.50 64.17 49.61 64.99 37.28 50.68…