Stats: Data and Models
5th Edition
ISBN: 9780135164013
Author: DeVeaux
Publisher: PEARSON CO
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Chapter 5, Problem 53E
a.
To determine
Draw and label the normal model.
b.
To determine
Find the percent of adult women who expected to have cholesterol over 200 mg/dL.
c.
To determine
Find the percent of adult women who expected to have cholesterol levels between 150 and 170 mg/dL.
d.
To determine
Find the IQR of the cholesterol levels.
e.
To determine
Find the value for the highest 15% of the women’s cholesterol levels.
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Students have asked these similar questions
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
29
31
33
35
38
40
42
43
y, weight in lb
121.4
122.3
130.3
131.7
133.3
134.6
136.7
138.4
140.3
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 5 Solutions
Stats: Data and Models
Ch. 5.1 - 1. Your statistics teacher has announced that the...Ch. 5.1 - Prob. 2JCCh. 5.2 - Prob. 3JCCh. 5.2 - 4. A company manufactures wheels for in-line...Ch. 5.3 - 5. As a group, the Dutch are among the tallest...Ch. 5.3 - Prob. 6JCCh. 5.3 - Prob. 7JCCh. 5.3 - 8. Our original sample of 100 commute times had a...Ch. 5 - Prob. 1ECh. 5 - 2. Mensa People with z-scores above 2.5 on an IQ...
Ch. 5 - 3. Temperatures A town’s January high temperatures...Ch. 5 - 4. Placement exams An incoming freshman took her...Ch. 5 - 5. Shipments A company selling clothing on the...Ch. 5 - 6. Hotline A company’s customer service hotline...Ch. 5 - Prob. 7ECh. 5 - 8. Women’s shoe sizes The shoe size data for women...Ch. 5 - 9. Guzzlers? Environmental Protection Agency (EPA)...Ch. 5 - 10. IQ Some IQ tests are standardized to a Normal...Ch. 5 - Prob. 11ECh. 5 - 12. Stats test Suppose your statistics professor...Ch. 5 - 13. Normal cattle The Virginia Cooperative...Ch. 5 - 14. IQs revisited Based on the Normal model N(100,...Ch. 5 - Prob. 15ECh. 5 - Prob. 16ECh. 5 - Prob. 17ECh. 5 - Prob. 18ECh. 5 - 19. Payroll Here are the summary statistics for...Ch. 5 - 20. Hams A specialty foods company sells “gourmet...Ch. 5 - 21. SAT or ACT? Each year thousands of high school...Ch. 5 - 22. Cold U? A high school senior uses the Internet...Ch. 5 - 23. Music library again Corey has 4929 songs in...Ch. 5 - 24. Windy In the last chapter, we looked at three...Ch. 5 - 25. Combining test scores The first Stats exam had...Ch. 5 - 26. Combining scores again The first Stat exam had...Ch. 5 - 27. Final exams Anna, a language major, took final...Ch. 5 - 28. MP3s Two companies market new batteries...Ch. 5 - Prob. 29ECh. 5 - 30. Car speeds 100 John Beale of Stanford,...Ch. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - Prob. 36ECh. 5 - Prob. 37ECh. 5 - 38. High IQ Exercise 10 proposes modeling IQ...Ch. 5 - 39. Trees A forester measured 27 of the trees in a...Ch. 5 - 40. Rivets A company that manufactures rivets...Ch. 5 - Prob. 41ECh. 5 - Prob. 42ECh. 5 - Prob. 43ECh. 5 - Prob. 44ECh. 5 - 45. Receivers 2015 NFL data from the 2015 football...Ch. 5 - 46. Customer database A large philanthropic...Ch. 5 - Prob. 47ECh. 5 - Prob. 48ECh. 5 - Prob. 49ECh. 5 - 50. More IQs In the Normal model N(100, 15) from...Ch. 5 - Prob. 51ECh. 5 - 52. IQ, finis Consider the IQ model N(100, 15) one...Ch. 5 - Prob. 53ECh. 5 - 54. Tires A tire manufacturer believes that the...Ch. 5 - 55. Kindergarten Companies that design furniture...Ch. 5 - 56. Body temperatures Most people think that the...Ch. 5 - Prob. 57ECh. 5 - Prob. 58E
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