Concept explainers
(a)
To find out what type of design did the researchers use in their study.
(a)
Answer to Problem 80E
Matched pair design.
Explanation of Solution
In this study, the researcher wanted to test if chocolate affects blood vessel
Thus we can say that, the design used for this experiment is matched pair design, since each subject is administered both treatments in a random order and compared to themselves.
(b)
To explain why the researcher choose this design instead of completely randomized design.
(b)
Explanation of Solution
In this study, the researcher wanted to test if chocolate affects blood vessel function or not. So, they recruited healthy young volunteers to examine this and each of the volunteers goes through both of the treatments i.e. they were give both bittersweet chocolate and the fake chocolate.
The researcher choose matched pair design instead of completely randomized design because matched pair design helps eliminate variability among subjects by comparing each subject's response to treatment A with their own response to treatment B.
Thus, this design uses the same subjects for both groups which means that the result will be easier to compare.
(c)
To explain why it is important to randomly assign the order of the treatments.
(c)
Explanation of Solution
In this study, the researcher wanted to test if chocolate affects blood vessel function or not. So, they recruited healthy young volunteers to examine this and each of the volunteers goes through both of the treatments i.e. they were give both bittersweet chocolate and the fake chocolate.
It is important to randomly assign the order of the treatments because if all the subjects first receive the bittersweet chocolate then they might recognize that the second chocolate is fake. Thus, it is better to receive the bittersweet chocolate first and that some receive the fake chocolate first.
(d)
To explain how and why the researchers controlled for other variables in this experiment.
(d)
Explanation of Solution
The researchers controlled for other potential health issues by choosing young, healthy volunteers. They also controlled against chocolate consumption outside of the confines of the experiment.
Other potential health issues were controlled because other health issues may be responsible in differences between blood vessel function as opposed to chocolate. Additionally, outside chocolate consumption was controlled to ensure that a placebo subject did not have real chocolate and skew the results of the experiment.
Chapter 4 Solutions
PRACTICE OF STATISTICS F/AP EXAM
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
A First Course in Probability (10th Edition)
Basic Business Statistics, Student Value Edition
Elementary Statistics: Picturing the World (7th Edition)
University Calculus: Early Transcendentals (4th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
- Introduce yourself and describe a time when you used data in a personal or professional decision. This could be anything from analyzing sales data on the job to making an informed purchasing decision about a home or car. Describe to Susan how to take a sample of the student population that would not represent the population well. Describe to Susan how to take a sample of the student population that would represent the population well. Finally, describe the relationship of a sample to a population and classify your two samples as random, systematic, cluster, stratified, or convenience.arrow_forward1.2.17. (!) Let G,, be the graph whose vertices are the permutations of (1,..., n}, with two permutations a₁, ..., a,, and b₁, ..., b, adjacent if they differ by interchanging a pair of adjacent entries (G3 shown below). Prove that G,, is connected. 132 123 213 312 321 231arrow_forwardYou are planning an experiment to determine the effect of the brand of gasoline and the weight of a car on gas mileage measured in miles per gallon. You will use a single test car, adding weights so that its total weight is 3000, 3500, or 4000 pounds. The car will drive on a test track at each weight using each of Amoco, Marathon, and Speedway gasoline. Which is the best way to organize the study? Start with 3000 pounds and Amoco and run the car on the test track. Then do 3500 and 4000 pounds. Change to Marathon and go through the three weights in order. Then change to Speedway and do the three weights in order once more. Start with 3000 pounds and Amoco and run the car on the test track. Then change to Marathon and then to Speedway without changing the weight. Then add weights to get 3500 pounds and go through the three gasolines in the same order.Then change to 4000 pounds and do the three gasolines in order again. Choose a gasoline at random, and run the car with this gasoline at…arrow_forward
- AP1.2 A child is 40 inches tall, which places her at the 90th percentile of all children of similar age. The heights for children of this age form an approximately Normal distribution with a mean of 38 inches. Based on this information, what is the standard deviation of the heights of all children of this age? 0.20 inches (c) 0.65 inches (e) 1.56 inches 0.31 inches (d) 1.21 inchesarrow_forwardAP1.1 You look at real estate ads for houses in Sarasota, Florida. Many houses range from $200,000 to $400,000 in price. The few houses on the water, however, have prices up to $15 million. Which of the following statements best describes the distribution of home prices in Sarasota? The distribution is most likely skewed to the left, and the mean is greater than the median. The distribution is most likely skewed to the left, and the mean is less than the median. The distribution is roughly symmetric with a few high outliers, and the mean is approximately equal to the median. The distribution is most likely skewed to the right, and the mean is greater than the median. The distribution is most likely skewed to the right, and the mean is less than the median.arrow_forwardDuring busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?arrow_forward
- Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanksarrow_forward28. (a) Under what conditions do we say that two random variables X and Y are independent? (b) Demonstrate that if X and Y are independent, then it follows that E(XY) = E(X)E(Y); (e) Show by a counter example that the converse of (ii) is not necessarily true.arrow_forward1. Let X and Y be random variables and suppose that A = F. Prove that Z XI(A)+YI(A) is a random variable.arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman