Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 1 Solutions
Statistics: Informed Decisions Using Data (5th Edition)
Ch. 1.1 - Vocabulary and Skill Building
1. Define...Ch. 1.1 - Vocabulary and Skill Building
2. Explain the...Ch. 1.1 - Vocabulary and Skill Building
3. A(n) ______ is a...Ch. 1.1 - Vocabulary and Skill Building
4. ______ statistics...Ch. 1.1 - Vocabulary and Skill Building
5. A(n) ______ is a...Ch. 1.1 - Vocabulary and Skill Building
6. ______ are the...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...
Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Prob. 31AYUCh. 1.1 - Vocabulary and Skill Building
In Problems 31–38,...Ch. 1.1 - Prob. 33AYUCh. 1.1 - Prob. 34AYUCh. 1.1 - Vocabulary and Skill Building
In Problems 31–38,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 31–38,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 31–38,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 31–38,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 45 and...Ch. 1.1 - Vocabulary and Skill Building
In Problems 45 and...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Explaining the...Ch. 1.1 - Prob. 55AYUCh. 1.1 - Prob. 56AYUCh. 1.1 - Vocabulary and Skill Building
Explaining the...Ch. 1.1 - Vocabulary and Skill Building
Explaining the...Ch. 1.1 - Prob. 59AYUCh. 1.2 - Vocabulary and Skill Building
1. In your own...Ch. 1.2 - Vocabulary and Skill Building
2. What is an...Ch. 1.2 - Prob. 3AYUCh. 1.2 - Vocabulary and Skill Building
4. Given a choice,...Ch. 1.2 - Prob. 5AYUCh. 1.2 - Vocabulary and Skill Building
6. The data used in...Ch. 1.2 - Prob. 7AYUCh. 1.2 - Vocabulary and Skill Building
8. What does it mean...Ch. 1.2 - Prob. 9AYUCh. 1.2 - Vocabulary and Skill Building
In Problems 9–16,...Ch. 1.2 - Prob. 11AYUCh. 1.2 - Vocabulary and Skill Building
In Problems 9–16,...Ch. 1.2 - Vocabulary and Skill Building
In Problems 9–16,...Ch. 1.2 - Vocabulary and Skill Building
In Problems 9–16,...Ch. 1.2 - Prob. 15AYUCh. 1.2 - Vocabulary and Skill Building
In Problems 9–16,...Ch. 1.2 - Prob. 17AYUCh. 1.2 - Prob. 18AYUCh. 1.2 - Prob. 19AYUCh. 1.2 - Prob. 20AYUCh. 1.2 - Vocabulary and Skill Building
Applying the...Ch. 1.2 - Prob. 22AYUCh. 1.2 - Prob. 23AYUCh. 1.2 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
1. What is a frame?
Ch. 1.3 - Vocabulary and Skill Building
2. Define simple...Ch. 1.3 - Vocabulary and Skill Building
3. What does it mean...Ch. 1.3 - Vocabulary and Skill Building
4. What is random...Ch. 1.3 - Vocabulary and Skill Building
5. Literature As...Ch. 1.3 - Vocabulary and Skill Building
6. Team Captains A...Ch. 1.3 - Vocabulary and Skill Building
NW 7. Course...Ch. 1.3 - Vocabulary and Skill Building
8. Merit Badge...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Prob. 16AYUCh. 1.4 - Vocabulary and Skill Building
1. Describe a...Ch. 1.4 - Vocabulary and Skill Building
2. Which sampling...Ch. 1.4 - Vocabulary and Skill Building
3. Why are...Ch. 1.4 - Vocabulary and Skill Building
4. A(n) ______...Ch. 1.4 - Vocabulary and Skill Building
5. A(n) ______...Ch. 1.4 - Vocabulary and Skill Building
6. True or False:...Ch. 1.4 - Vocabulary and Skill Building
7. True or False: A...Ch. 1.4 - Vocabulary and Skill Building
8. True or False:...Ch. 1.4 - Vocabulary and Skill Building
9. True or False:...Ch. 1.4 - Vocabulary and Skill Building
10. True or False:...Ch. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Prob. 16AYUCh. 1.4 - Prob. 17AYUCh. 1.4 - Prob. 18AYUCh. 1.4 - Prob. 19AYUCh. 1.4 - Prob. 20AYUCh. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Prob. 22AYUCh. 1.4 - Prob. 23AYUCh. 1.4 - Vocabulary and Skill Building
24. A...Ch. 1.4 - Vocabulary and Skill Building
Applying the...Ch. 1.4 - Prob. 26AYUCh. 1.4 - Prob. 27AYUCh. 1.4 - Prob. 28AYUCh. 1.4 - Vocabulary and Skill Building
Applying the...Ch. 1.4 - Prob. 30AYUCh. 1.4 - Prob. 31AYUCh. 1.4 - Prob. 32AYUCh. 1.4 - Prob. 33AYUCh. 1.4 - Prob. 34AYUCh. 1.4 - Prob. 35AYUCh. 1.4 - Prob. 36AYUCh. 1.4 - Vocabulary and Skill Building
Applying the...Ch. 1.4 - Prob. 38AYUCh. 1.4 - Vocabulary and Skill Building
Applying the...Ch. 1.4 - Prob. 40AYUCh. 1.5 - Vocabulary and Skill Building
1. What is a closed...Ch. 1.5 - Vocabulary and Skill Building
2. What does it mean...Ch. 1.5 - Vocabulary and Skill Building
3. What is bias?...Ch. 1.5 - Vocabulary and Skill Building
4. Distinguish...Ch. 1.5 - Vocabulary and Skill Building
5. A retail store...Ch. 1.5 - Prob. 6AYUCh. 1.5 - Vocabulary and Skill Building
7. An antigun...Ch. 1.5 - Vocabulary and Skill Building
8. Suppose you are...Ch. 1.5 - Prob. 9AYUCh. 1.5 - Vocabulary and Skill Building
10. Cold Stone...Ch. 1.5 - Prob. 11AYUCh. 1.5 - Prob. 12AYUCh. 1.5 - Prob. 13AYUCh. 1.5 - Prob. 14AYUCh. 1.5 - Vocabulary and Skill Building
15. Suppose you are...Ch. 1.5 - Vocabulary and Skill Building
16. To determine the...Ch. 1.5 - Prob. 17AYUCh. 1.5 - Prob. 18AYUCh. 1.5 - Prob. 19AYUCh. 1.5 - 20. Order of the Questions Consider the following...Ch. 1.5 - Prob. 21AYUCh. 1.5 - Prob. 22AYUCh. 1.5 - Prob. 23AYUCh. 1.5 - Prob. 24AYUCh. 1.5 - Prob. 25AYUCh. 1.5 - 26. Current Population Survey In the federal...Ch. 1.5 - Prob. 27AYUCh. 1.5 - 28. Write Your Own Survey Develop a survey that...Ch. 1.5 - Prob. 29AYUCh. 1.5 - 30. Wording Survey Questions Write a survey...Ch. 1.5 - Prob. 31AYUCh. 1.5 - Prob. 32AYUCh. 1.5 - Prob. 33AYUCh. 1.5 - Prob. 34AYUCh. 1.5 - Prob. 35AYUCh. 1.5 - Prob. 36AYUCh. 1.5 - Prob. 37AYUCh. 1.5 - Prob. 38AYUCh. 1.5 - Prob. 39AYUCh. 1.5 - Prob. 40AYUCh. 1.5 - Prob. 41AYUCh. 1.5 - Prob. 42AYUCh. 1.5 - 43. Suppose a survey asks, "Do you own any CDs?"...Ch. 1.5 - 44. Discuss a possible advantage of offering...Ch. 1.6 - 1. Define the following:
(a) Experimental unit
(b)...Ch. 1.6 - 2. What is replication in an experiment?
Ch. 1.6 - 3. Explain the difference between a single-blind...Ch. 1.6 - 4. A(n) ______ ______ design is one in which each...Ch. 1.6 - 5. Grouping together similar experimental units...Ch. 1.6 - Prob. 6AYUCh. 1.6 - Prob. 7AYUCh. 1.6 - 8. Alcohol Dependence To determine if topiramate...Ch. 1.6 - 9. School Psychology A school psychologist wants...Ch. 1.6 - Prob. 10AYUCh. 1.6 - Prob. 11AYUCh. 1.6 - 12. Assessment To help assess student learning in...Ch. 1.6 - Prob. 13AYUCh. 1.6 - Prob. 14AYUCh. 1.6 - Prob. 15AYUCh. 1.6 - Prob. 16AYUCh. 1.6 - 17. Dominant Hand Professor Andy Neill wanted to...Ch. 1.6 - Prob. 18AYUCh. 1.6 - Prob. 19AYUCh. 1.6 - Prob. 20AYUCh. 1.6 - 21. Drug Effectiveness A pharmaceutical company...Ch. 1.6 - 22. Effects of Alcohol A researcher has recruited...Ch. 1.6 - 23. Green Tea You wonder whether green tea lowers...Ch. 1.6 - Prob. 24AYUCh. 1.6 - Prob. 25AYUCh. 1.6 - Prob. 26AYUCh. 1.6 - Prob. 27AYUCh. 1.6 - Prob. 28AYUCh. 1.6 - Prob. 29AYUCh. 1.6 - Prob. 30AYUCh. 1.6 - Prob. 31AYUCh. 1.6 - Prob. 32AYUCh. 1.6 - Prob. 33AYUCh. 1.6 - Prob. 34AYUCh. 1.6 - Prob. 35AYUCh. 1.6 - Prob. 36AYUCh. 1 - Prob. 1RECh. 1 - In Problems 1–5, provide a definition using your...Ch. 1 - In Problems 1–5, provide a definition using your...Ch. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - 6. List and describe the three major types of...Ch. 1 - Prob. 7RECh. 1 - 8. List and explain the three sources of bias in...Ch. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - Prob. 13RECh. 1 - In Problems 14 and 15, determine whether the...Ch. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - In Problems 20 and 21, determine whether the study...Ch. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - In Problems 23–26, determine the type of sampling...Ch. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - 1. List the four components that comprise the...Ch. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - In Problems 3–5, determine if the variable is...Ch. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - 12. A cellular phone company is looking for ways...Ch. 1 - Prob. 13CTCh. 1 - Prob. 14CTCh. 1 - Prob. 15CTCh. 1 - Prob. 16CTCh. 1 - Prob. 17CTCh. 1 - Prob. 18CTCh. 1 - Prob. 19CTCh. 1 - Prob. 20CTCh. 1 - Prob. 21CTCh. 1 - Prob. 1CSCh. 1 - Prob. 2CSCh. 1 - Prob. 3CSCh. 1 - Prob. 4CS
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- 3 Consider tossing a fair coin 10 times and recording the number of heads that occur. a. How many possible outcomes would occur? b. What would be the probability of each of the outcomes? c. How many of the outcomes would have 1 head? What is the probability of 1 head in 10 flips? how d. How many of the outcomes would have o heads? What is the probability of o heads in 10 flips? e. What's the probability of getting 1 head or less on 10 flips of a fair coin?arrow_forward22 Bob decides that after his heart attack is a good time to get in shape, so he starts exer- cising each day and plans to increase his exercise time as he goes along. Look at the two line graphs shown in the following fig- ures. One is a good representation of his data, and the other should get as much use as Bob's treadmill before his heart attack. Exercise time 40 Line Graph 1 of Exercise Log 35 30- 25 201 20 Exercise time 80 80 60 40- 1 10 20 30 30 40 50 60 Day 170 50 80 Line Graph 2 of Exercise Log 1 10 20 90 100 30 30 40 50 60 70 80 90 100 Day a. Compare the two graphs. Do they repre- sent the same data set, or do they show totally different data sets? b. Assume that both graphs are made from the same data. Which graph is more appropriate and why?arrow_forward8 Suppose that a small town has five people with a rare form of cancer. Does this auto- matically mean a huge problem exists that needs to be addressed?arrow_forward
- 1 M&Ms colors come in the following percent- ages: 13 percent brown, 14 percent yellow, 13 percent red, 24 percent blue, 20 percent orange, and 16 percent green. Reach into a bag of M&Ms without looking. a. What's the chance that you pull out a brown or yellow M&M? b. What's the chance that you won't pull out a blue? swarrow_forward11. Prove or disprove: (a) If is a characteristic function, then so is ²; (b) If is a non-negative characteristic function, then so is √√4.arrow_forward4. Suppose that P(X = 1) = P(X = -1) = 1/2, that Y = U(-1, 1) and that X and Y are independent. (a) Show, by direct computation, that X + Y = U(-2, 2). (b) Translate the result to a statement about characteristic functions. (c) Which well-known trigonometric formula did you discover?arrow_forward
- 9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. x (a) Show that Qx+b (h) = Qx(h). (b) Is it true that Qx(ah) =aQx(h)? (c) Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qy (h)). To put the concept in perspective, if X1, X2, X, are independent, identically distributed random variables, and S₁ = Z=1Xk, then there exists an absolute constant, A, such that A Qs, (h) ≤ √n Some references: [79, 80, 162, 222], and [204], Sect. 1.5.arrow_forward29 Suppose that a mound-shaped data set has a must mean of 10 and standard deviation of 2. a. About what percentage of the data should lie between 6 and 12? b. About what percentage of the data should lie between 4 and 6? c. About what percentage of the data should lie below 4? 91002 175/1 3arrow_forward2,3, ample and rical t? the 28 Suppose that a mound-shaped data set has a mean of 10 and standard deviation of 2. a. About what percentage of the data should lie between 8 and 12? b. About what percentage of the data should lie above 10? c. About what percentage of the data should lie above 12?arrow_forward
- 27 Suppose that you have a data set of 1, 2, 2, 3, 3, 3, 4, 4, 5, and you assume that this sample represents a population. The mean is 3 and g the standard deviation is 1.225.10 a. Explain why you can apply the empirical rule to this data set. b. Where would "most of the values" in the population fall, based on this data set?arrow_forward30 Explain how you can use the empirical rule to find out whether a data set is mound- shaped, using only the values of the data themselves (no histogram available).arrow_forward5. Let X be a positive random variable with finite variance, and let A = (0, 1). Prove that P(X AEX) 2 (1-A)² (EX)² EX2arrow_forward
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