Sugary Beverages It has been reported that consumption of sodas and other sugar-sweetened beverages cause excessive weight gain. Researchers conducted a randomized study in which 224 overweight and obese adolescents who regularly consumed sugar-sweetened beverages were randomly assigned to experimental and control groups. The experimental groups received a one-year intervention designed to decrease consumption of sugar-sweetened beverages, with follow-up for an additional year without intervention. The response variable in the study was body mass index (BMI—the weight in kilograms divided by the square of the height in meters). Results of the study appear in the following table.
Source: Cara B. Ebbeling, PhD and associates, “A Randomized Trial of Sugar-Sweetened Beverages and Adolescent Body Weight.” N Engl J Med 2012:357:1407–16. DOI: 10.1056/NEJMoal2Q3388
Experimental Group (n = 110) | Control Group (n = 114) | |
Start of Study | Standard Deviation BMI = 5.2 |
Mean BMI = 30.1 Standard Deviation BMI = 4.7 |
After One Year | Mean Change in BMI = 0.06 Standard Deviation Change in BMI = 0.20 |
Mean Change in BMI = 0.63 Standard Deviation Change in BMI = 0.20 |
After Two Years | Mean Change in BMI = 0.71 Standard Deviation Change in BMI = 0.28 |
Mean Change in BMI = 1.00 Standard Deviation Change in BMI = 0.28 |
- a. What type of experimental design is this?
- b. What is the response variable? What is the explanatory variable?
- c. One aspect of statistical studies is to verify that the subjects in the various treatment groups are similar. Does the sample evidence support the belief that the BMIs of the subjects in the experimental group is not different from the BMIs in the control group at the start of the study? Use an α = 0.05 level of significance.
- d. One goal of the research was to determine if the change in BMI for the experimental group was less than that for the control group after one year. Conduct the appropriate test to see if the evidence suggests this goal was met. Use an α = 0.05 level of significance. What does this result suggest?
- e. Does the sample evidence suggest the change in BMI is less for the experimental group than the control group after two years? Use an α = 0.05 level of significance. What does this result suggest?
- f. To what population do the results of this study apply?
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Fundamentals of Statistics (5th Edition)
- What is meant by the sample space of an experiment?arrow_forwardWhat is an experiment?arrow_forwardA randomized, double-blind, placebo-controlled study evaluated the effect of the herbal remedy Echinacea purpurea in treating upper respiratory tract infections in 2- to 11-year olds. Each time a child had an upper respiratory tract infection, treatment with either echinacea or a placebo was given for the duration of the illness. One of the outcomes studied was “severity of symptoms.” A severity scale based on four symptoms was monitored and recorded by the parents of subjects for each instance of upper respiratory infection. The peak severity of symptoms in the 337 cases treated with echinacea had a mean score of 6.0 (standard deviation 2.3). The peak severity of symptoms in the placebo group (np = 370) had a mean score of 6.1 (standard deviation 2.4). Test the mean difference for significance using an independent t-test. Discuss your findingsarrow_forward
- Whirling disease is a deadly disease that affects trout in Montana riversIn a follow-up to a 2006 study conducted by the Montana Department of FishWildlife and Parks (FWP)researchers sought to determine if the proportion of trout afflicted by whirling disease in the Gallatin river differs between rainbow trout and brown trout. To test this theory, researchers collected a representative sample of 527 rainbow trout and 459 brown trout. Of the 527 rainbow trout collected, 120 had developed whirling disease; of the 459 brown trout collected, 74 had developed whirling disease Calculate the relative risk of whirling disease for rainbow trout compared to brown trout in this sample.arrow_forwardSocial functioning is the ability for an individual to interact or adapt in a normal or usual way in social environments. Albert et al. (2007) asked if relatives of patients with OCD are as healthy as those in general healthy populations. They measured the social functioning of relatives using a 36-item survey with scores ranging from 0 (worst possible health) to 100 (best possible health). The mean score for the general healthy population was 77.43. Using the sample data, test whether there was a difference. Scores: 20, 60, 48, 92, 50, 82, 48, 90, 30, 68, 43, 54, 60, 62, 94, 67, 63, 85 State hypotheses 2. Set the criteria using α= 0.05 3. Calculate t 4. What should you conclude?arrow_forwardMental Health A study was performed looking at the effect of physical activity on cognitive function among adults at high risk for Alzheimer's disease. There were 170 eligible subjects randomly assigned to either an exercise intervention (exercise group) or a control intervention (control group). The subjects were followed at 6-month intervals up to 18 months of follow-up. The primary assessment scale was the Alzheimer's Disease Assessment Scale-Cognitive Subscale (ADAS-Cog). The results at 18 months of follow-up among participants with mild cognitive impairment are given in the table below. (Let population 1 be the exercise group and population 2 be the control group. Use exercise group control group.) Mean difference from baseline (18-month score minus baseline score) among participants with mild cognitive impairment in the ADAS-Cog score* Mean change 95% CI n H₁: Exercise group Control group USE SALT -0.37 (-1.37, 0.63) 48 -0.43 (-1.35, 0.49) 52 (a) What is the standard deviation of…arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning