Mind on Statistics
5th Edition
ISBN: 9781285463186
Author: Jessica M. Utts, Robert F. Heckard
Publisher: Brooks Cole
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Textbook Question
Chapter 1, Problem 1.14E
For each of the studies described, explain whether the study was an observational study or a randomized experiment.
- A group of 100 students was randomly divided, with 50 assigned to receive vitamin C and the remaining 50 to receive a placebo, to determine whether or not vitamin C helps to prevent colds.
- A random sample of patients who received a hip trans plant operation at Stanford University Hospital during 2000 to 2010 will be followed for 10 years after their operation to determine the success (or failure) of the transplant.
- Volunteers with high blood pressure were randomly divided into two groups. One group was taught to practice meditation and the other group was given a low-fat diet. After 8 weeks, reduction in blood pressure was compared for the two groups.
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Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method. Pam likes strawberry twice as much as chocolate or vanilla. Rob only likes chocolate. Sam, the chooser, likes vanilla and strawberry twice as much as chocolate. In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece. Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.Which is a second division that Rob would make of his share of the cake?
Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).
If the choosers' declarations are Chooser 1: {s1 , s2} and Chooser 2: {s2 , s3}.
Using the lone-divider method, how many different fair divisions of this cake are possible?
Theorem 2.6 (The Minkowski inequality)
Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and
E|Y P <00. Then
X+YpX+Yp
Chapter 1 Solutions
Mind on Statistics
Ch. 1 - Refer to the data and five-number summaries given...Ch. 1 - A five-number summary for the heights in inches of...Ch. 1 - In recent years, Vietnamese American women have...Ch. 1 - The risk of getting lung cancer at some point in...Ch. 1 - Refer to Case Study 1.3, in which teens were asked...Ch. 1 - Using Case Study 1.6 as an example, explain the...Ch. 1 - A CBS News poll taken in December 2009, asked a...Ch. 1 - A telephone survey of 2000 Canadians conducted...Ch. 1 - In Case Study 1.3, the margin of error for the...Ch. 1 - About how many people would need to be in a random...
Ch. 1 - Prob. 1.11ECh. 1 - Prob. 1.12ECh. 1 - Prob. 1.13ECh. 1 - For each of the studies described, explain whether...Ch. 1 - Prob. 1.15ECh. 1 - Suppose that an observational study showed that...Ch. 1 - A randomized experiment was done in which...Ch. 1 - Explain the distinction between statistical...Ch. 1 - A (hypothetical) study of what people do in their...Ch. 1 - Prob. 1.20ECh. 1 - Refer to Case Study 1.6, in which the relationship...Ch. 1 - Students in a statistics class at Penn State were...Ch. 1 - Prob. 1.23ECh. 1 - Prob. 1.24ECh. 1 - An article in the magazine Science (Service, 1994)...Ch. 1 - Prob. 1.26ECh. 1 - Prob. 1.27ECh. 1 - Prob. 1.28ECh. 1 - Refer to the study in Exercise 1.28, in which...Ch. 1 - Prob. 1.30ECh. 1 - Prob. 1.31ECh. 1 - Prob. 1.32ECh. 1 - Prob. 1.33ECh. 1 - Prob. 1.34ECh. 1 - Refer to Exercise 1.33. The Roper Organization...Ch. 1 - Prob. 1.36ECh. 1 - Prob. 1.37ECh. 1 - Prob. 1.38ECh. 1 - Prob. 1.39ECh. 1 - Prob. 1.40ECh. 1 - Prob. 1.41ECh. 1 - Suppose you were to read the following news story:...Ch. 1 - Refer to Case Study 1.5. Explain what mistakes...Ch. 1 - Refer to Case Study 1.6. Go through the five steps...
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