Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 6.2, Problem 32AYU
(a)
To determine
To construct: A binomial
(b)
To determine
To compute: The
(c)
To determine
To compute: The mean and standard deviation by the method provided in Section 6.2.
(d)
To determine
To draw: Graph of the probability distribution
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The systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals.
Descriptive Statistics
Variable
N
Mean
Median
TrMean
StDev
SE Mean
x 1
15
154.14
154.34
154.14
3.842
0.992000
x 2
15
59.69
60.19
59.69
1.462
0.377487
x 3
15
205.55
204.75
205.55
4.558
1.176871
Variable
Minimum
Maximum
Q1
Q3
x 1
125
178
141.803
167.244
x 2
41
80
47.754
78.415
x 3
126
240
140.395
224.008
Correlations (Pearson)
x 1
x 2
x 2
0.892
x 3
0.839
0.567
Regression Analysis
The regression equation is
x 1 = 0.883 + 1.257x2 + 0.871x3
Predictor
Coef
StDev
T
P
Constant
0.883
0.635
1.39
0.095
x 2
1.257
0.635
1.98
0.036
x 3
0.871
0.419
2.08
0.030
S = 0.428
R-sq = 92.7 %…
According to health professionals, a person’s weight is expected to increase with age. To examine that statement, a nutritionist collected data from 11 random females from different age categories between the ages of 21 and 43. In the following table, x is the age of a person and y is the weight in pounds.
x, age
21
24
27
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31
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35
38
40
42
43
y, weight in lb
121.4
122.3
130.3
131.7
133.3
134.6
136.7
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142.0
145.1
Select the correct graph of the least-squares line on a scatter diagram.
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.
x
82
69
73
84
74
64
y
42
48
46
46
46
42
Verify that ∑x =446, ∑y =270, ∑x2 =33,442, ∑y2 =12,180, ∑xy =20,070, and r = 0, and find the critical value for a test using a 5% level of significance claiming that ρis not equal than zero. Round your answer to three decimal places.
Chapter 6 Solutions
Statistics: Informed Decisions Using Data (5th Edition)
Ch. 6.1 - 1. What is a random variable?
Ch. 6.1 - 2. What is the difference between a discrete...Ch. 6.1 - Prob. 3AYUCh. 6.1 - Prob. 4AYUCh. 6.1 - In Problems 5–8, determine whether the random...Ch. 6.1 - In Problems 5–8, determine whether the random...Ch. 6.1 - In Problems 5–8, determine whether the random...Ch. 6.1 - In Problems 5–8, determine whether the random...Ch. 6.1 - In Problems 9–14, determine whether the...Ch. 6.1 - In Problems 9–14, determine whether the...
Ch. 6.1 - In Problems 9–14, determine whether the...Ch. 6.1 - In Problems 9–14, determine whether the...Ch. 6.1 - In Problems 9–14, determine whether the...Ch. 6.1 - In Problems 9–14, determine whether the...Ch. 6.1 - In Problems 15 and 16, determine the required...Ch. 6.1 - In Problems 15 and 16, determine the required...Ch. 6.1 - NW 17. Televisions In the Sullivan Statistics...Ch. 6.1 - 18. Marriage In the following probability...Ch. 6.1 - 19. Ichiro's Hit Parade In the 2004 baseball...Ch. 6.1 - 20. Waiting in Line A Wendy's manager performed a...Ch. 6.1 - In Problems 21 and 22, (a) construct a discrete...Ch. 6.1 - In Problems 21 and 22, (a) construct a discrete...Ch. 6.1 - 23. Number of Births The graph of the discrete...Ch. 6.1 - 24. Rental Units The graph of the discrete...Ch. 6.1 - 25. Life Insurance A life insurance company sells...Ch. 6.1 - 26. Life Insurance A life insurance company sells...Ch. 6.1 - 27. BlackJack BlackJack is a popular casino game...Ch. 6.1 - 28. Investment An investment counselor calls with...Ch. 6.1 - 29. Roulette In the game of roulette, a player can...Ch. 6.1 - 30. Connecticut Lottery In the Cash Five Lottery...Ch. 6.1 - 31. Powerball Powerball is a multistate lottery....Ch. 6.1 - 32. SAT Test Penalty Some standardized tests, such...Ch. 6.1 - Prob. 33AYUCh. 6.1 - Prob. 34AYUCh. 6.1 - Prob. 35AYUCh. 6.1 - 36. 2014 Senate Election In the 2014 election,...Ch. 6.2 - 1. A binomial experiment is performed a fixed...Ch. 6.2 - 2. For each trial of a binomial experiment, there...Ch. 6.2 - 3. True or False: In the binomial probability...Ch. 6.2 - 4. The phrase “no more than” is represented by the...Ch. 6.2 - 5. The expected number of successes in a binomial...Ch. 6.2 - 6. As a rule of thumb, if ______, the probability...Ch. 6.2 - In Problems 7–16, determine which of the following...Ch. 6.2 - In Problems 7–16, determine which of the following...Ch. 6.2 - In Problems 7–16, determine which of the following...Ch. 6.2 - In Problems 7–16, determine which of the following...Ch. 6.2 - In Problems 7–16, determine which of the following...Ch. 6.2 - In Problems 7–16, determine which of the following...Ch. 6.2 - In Problems 7–16, determine which of the following...Ch. 6.2 - In Problems 7–16, determine which of the following...Ch. 6.2 - In Problems 7–16, determine which of the following...Ch. 6.2 - Prob. 16AYUCh. 6.2 - In Problems 17–28, a binomial probability...Ch. 6.2 - In Problems 17–28, a binomial probability...Ch. 6.2 - In Problems 17–28, a binomial probability...Ch. 6.2 - In Problems 17–28, a binomial probability...Ch. 6.2 - In Problems 17–28, a binomial probability...Ch. 6.2 - Prob. 22AYUCh. 6.2 - In Problems 17–28, a binomial probability...Ch. 6.2 - Prob. 24AYUCh. 6.2 - In Problems 17–28, a binomial probability...Ch. 6.2 - In Problems 17–28, a binomial probability...Ch. 6.2 - In Problems 17–28, a binomial probability...Ch. 6.2 - Prob. 28AYUCh. 6.2 - In Problems 29–34, (a) construct a binomial...Ch. 6.2 - In Problems 29–34, (a) construct a binomial...Ch. 6.2 - In Problems 29–34, (a) construct a binomial...Ch. 6.2 - In Problems 29–34, (a) construct a binomial...Ch. 6.2 - In Problems 29–34, (a) construct a binomial...Ch. 6.2 - In Problems 29–34, (a) construct a binomial...Ch. 6.2 - 35. On-Time Flights According to flightstats.com,...Ch. 6.2 - 36. Morality In a recent poll, the Gallup...Ch. 6.2 - 37. Toilet Flushing In the Healthy Handwashing...Ch. 6.2 - 38. Allergy Sufferers Clarinex-D is a medication...Ch. 6.2 - 39. Sneeze According to a study done by Nick...Ch. 6.2 - 40. Sneeze Revisited According to a study done by...Ch. 6.2 - 41. Jury Selection Twelve jurors are randomly...Ch. 6.2 - 42. Sullivan Survey: Car Color According to paint...Ch. 6.2 - 43. On-Time Flights According to flightstats.com,...Ch. 6.2 - 44. Morality In a recent poll, the Gallup...Ch. 6.2 - 45. Toilet Flushing In the Healthy Handwashing...Ch. 6.2 - Prob. 46AYUCh. 6.2 - Prob. 47AYUCh. 6.2 - Prob. 48AYUCh. 6.2 - Prob. 49AYUCh. 6.2 - Prob. 50AYUCh. 6.2 - 51. Overbooking Flights Historically, the...Ch. 6.2 - Prob. 52AYUCh. 6.2 - Prob. 53AYUCh. 6.2 - Prob. 54AYUCh. 6.2 - Prob. 55AYUCh. 6.2 - Prob. 56AYUCh. 6.2 - Prob. 57AYUCh. 6.2 - Prob. 58AYUCh. 6.2 - Prob. 59AYUCh. 6.2 - 60. When can the Empirical Rule be used to...Ch. 6.3 - Prob. 1AYUCh. 6.3 - 2. Explain the role of λ and t in the Poisson...Ch. 6.3 - In Problems 3–6, state the values of λ and t for...Ch. 6.3 - In Problems 3–6, state the values of λ and t for...Ch. 6.3 - In Problems 3–6, state the values of λ and t for...Ch. 6.3 - In Problems 3–6, state the values of λ and t for...Ch. 6.3 - In Problems 7 and 8, the random variable X follows...Ch. 6.3 - Prob. 8AYUCh. 6.3 - Prob. 9AYUCh. 6.3 - Prob. 10AYUCh. 6.3 - 11. Hits to a Website The number of hits to a...Ch. 6.3 - Prob. 12AYUCh. 6.3 - Prob. 13AYUCh. 6.3 - 14. Potholes The potholes on a major highway in...Ch. 6.3 - Prob. 15AYUCh. 6.3 - 16. Traffic Fatalities According to...Ch. 6.3 - 17. Florida Hurricanes From 1900 to 2014 (115...Ch. 6.3 - Prob. 18AYUCh. 6.3 - Prob. 19AYUCh. 6.3 - Prob. 20AYUCh. 6.3 - Prob. 21AYUCh. 6.3 - Prob. 22AYUCh. 6.3 - 23. Simulation According to the National Center...Ch. 6.3 - Prob. 24AYUCh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - 6. Emergency Room Visits The probability that a...Ch. 6 - 7. Driving Age According to a Gallup poll, 60% of...Ch. 6 - Prob. 8RECh. 6 - 9. State the condition required to use the...Ch. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 1CTCh. 6 - Prob. 2CTCh. 6 - Prob. 3CTCh. 6 - Prob. 4CTCh. 6 - Prob. 5CTCh. 6 - Prob. 6CTCh. 6 - Prob. 7CTCh. 6 - Prob. 8CTCh. 6 - Prob. 9CTCh. 6 - Prob. 10CTCh. 6 - Prob. 11CTCh. 6 - Prob. 1CSCh. 6 - 2. Does it appear that, on average, the Neuländers...Ch. 6 - Prob. 3CSCh. 6 - Prob. 4CSCh. 6 - Prob. 5CSCh. 6 - Prob. 6CS
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