Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 16.2, Problem 15E
To determine
Test whether the mean cholesterol synthesis rate differs significantly for the two sources of carbohydrates.
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Suppose a researcher is interested inthe effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs.
Student intervention group
BMI (kg/m2)
Student control group
BMI (kg/m2)
A
18.6
A
21.6
B
18.2
B
18.9
C
19.5
C
19.4
D
18.9
D
22.6
E
24.1
F
23.6
A) Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program is effective. Use an alpha level of 0.05. Do not assume equal variances.B) Construct a 95% confidence interval about your estimate for the average difference in BMI between the groups.
In its January 25, 2012, issue, the Journal of the American Medical Association reported on the effects of overconsumption of low, normal, and high protein diets on weight gain, energy expenditure, and body composition. Researchers conducted a single blind, randomized controlled trial of 25 U.S. adults. The subjects were healthy, weight-stable, male and female volunteers, aged 18 to 35 years. All subjects consumed a weight-stabilizing diet for 13 to 25 days. Afterwards, the researchers randomly assigned participants to diets containing various percentages of energy from protein: 5% (low protein), 15% (normal protein), or 25% (high protein). The subjects were not aware of the specific protein level diet to which they were assigned. On these diets the researchers overfed the participants during the last 8 weeks of their 10 to 12 week stay in the inpatient metabolic unit. The goal was to investigate the effect of overconsumption of protein on weight gain, energy expenditure, and body…
In a study conducted in the Science Department of Faculty of Science, Technology and Human Development in a University; the researcher examined the influence of the drug succinylcholine on the circulation levels of androgens in the blood. Blood samples from wild, free-ranging deer were obtained via the jugular vein immediately after an intramuscular injection of succinylcholine using darts and a capture gun. Deer were bled again approximately 30 minutes after the injection and then released. The level of androgens at time of capture and 30 minutes later, measured in nanograms per milliliter (ng/ml), for 15 deers as in Table Q1.
Assuming that the populations of androgen at time of injection and 30 minutes later are normally distributed:i) Find the average and standard deviation of this studyii)Determine the critical region of this problem.iii) Test at the 0.05 level of significance whether the androgen concentrations are altered after 30 minutes of restraint.
Chapter 16 Solutions
Introduction To Statistics And Data Analysis
Ch. 16.1 - Urinary fluoride concentration (in parts per...Ch. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - A blood lead level of 70 mg/ml has been commonly...Ch. 16.1 - The effectiveness of antidepressants in treating...Ch. 16.1 - Prob. 6ECh. 16.1 - Prob. 7ECh. 16.2 - The effect of a restricted diet in the treatment...Ch. 16.2 - Peak force (N) on the hand was measured just prior...Ch. 16.2 - In an experiment to study the way in which...
Ch. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Prob. 16ECh. 16.2 - Prob. 17ECh. 16.2 - The signed-rank test can be adapted for use in...Ch. 16.3 - Prob. 19ECh. 16.3 - Prob. 20ECh. 16.3 - The given data on phosphorus concentration in...Ch. 16.3 - Prob. 22ECh. 16.3 - Prob. 23ECh. 16.3 - The following data on amount of food consumed (g)...Ch. 16.3 - The article Effect of Storage Temperature on the...
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- Red Wine and Weight LossResveratrol, a compound in grapes and red wine, has been shown to promote weight loss in rodents and now in a primate.1 Lemurs fed a resveratrol supplement for four weeks had decreased food intake, increased metabolic rate, and a reduction in seasonal body-mass gain compared to a control group. Suppose a hypothetical study is done for a different primate species, with one group given a resveratrol supplement and the other group given a placebo. We wish to see if there is evidence that resveratrol increases the mean metabolism rate for this species. (This exercise presents hypothetical data. We will see the results from the actual study later in this chapter.) (a) State the null and alternative hypotheses.Let group 1 be the species taking a resveratrol supplement and let group 2 be the species taking a placebo.arrow_forwardA sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results: Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05arrow_forwardStudents at a college were surveyed about whether they are in favor of or opposed to an increase of fees in order to build a new sports complex. The results of the student responses, broken down by gender, are found in the following table. Male Female In favor 126 105 Opposed 84 115 Is the proportion of male students in favor of the fee increase significantly different from the proportion of female students in favor of the fee? Carry out a significance test of this problem at alpha = .05. Provide each of the following in your answer. a) State the null and alternative hypotheses for this problem situation. Use correct notation. b) Compute the test statistic c) List the critical value(s) and make a decision by comparing the test statistic to the critical value(s). d) List the p-value and make a decision by comparing the p-value to alpha. e) In 1-2 complete sentences,…arrow_forward
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