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Understandable Statistics: Concepts And Methods
12th Edition
ISBN: 9781337517508
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Question
Chapter 11.3, Problem 5P
(a)
To determine
Find the level of significance.
State the null and alternative hypothesis.
(b)
To determine
Find the value of the sample test statistic.
(c)
To determine
Find the P-value of the sample test statistic.
(d)
To determine
Mention the conclusion of the test.
(e)
To determine
Interpret the conclusion in the context of the application.
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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
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0.377487
x 3
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205.55
204.75
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4.558
1.176871
Variable
Minimum
Maximum
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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
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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
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y, weight in lb
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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
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64
y
42
48
46
46
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Chapter 11 Solutions
Understandable Statistics: Concepts And Methods
Ch. 11.1 - Statistical Literacy To apply the sign test, do...Ch. 11.1 - Prob. 2PCh. 11.1 - Economic Growth: Asia Asian economies impact some...Ch. 11.1 - Debt: Developing Countries Borrowing money may be...Ch. 11.1 - Education: Exams A high school science teacher...Ch. 11.1 - Prob. 6PCh. 11.1 - Prob. 7PCh. 11.1 - Prob. 8PCh. 11.1 - Prob. 9PCh. 11.1 - Prob. 10P
Ch. 11.1 - Prob. 11PCh. 11.1 - Prob. 12PCh. 11.2 - Prob. 1PCh. 11.2 - Prob. 2PCh. 11.2 - Prob. 3PCh. 11.2 - Prob. 4PCh. 11.2 - Prob. 5PCh. 11.2 - Prob. 6PCh. 11.2 - Prob. 7PCh. 11.2 - Prob. 8PCh. 11.2 - Prob. 9PCh. 11.2 - Prob. 10PCh. 11.2 - Prob. 11PCh. 11.3 - Prob. 1PCh. 11.3 - Statistical Literacy Consider the Spearman rank...Ch. 11.3 - Prob. 4PCh. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.3 - Prob. 7PCh. 11.3 - Prob. 8PCh. 11.3 - Prob. 9PCh. 11.3 - Prob. 10PCh. 11.3 - Prob. 11PCh. 11.4 - Prob. 1PCh. 11.4 - Prob. 2PCh. 11.4 - Prob. 3PCh. 11.4 - Prob. 4PCh. 11.4 - Prob. 5PCh. 11.4 - Prob. 6PCh. 11.4 - Prob. 7PCh. 11.4 - Prob. 8PCh. 11.4 - Prob. 9PCh. 11.4 - Prob. 10PCh. 11.4 - Prob. 11PCh. 11.4 - Prob. 12PCh. 11 - Prob. 1CRPCh. 11 - Prob. 2CRPCh. 11 - Prob. 3CRPCh. 11 - Prob. 4CRPCh. 11 - Prob. 5CRPCh. 11 - Prob. 6CRPCh. 11 - Prob. 7CRPCh. 11 - Prob. 8CRPCh. 11 - Prob. 9CRPCh. 11 - Prob. 10CRPCh. 11 - Prob. 1CURPCh. 11 - Prob. 2CURPCh. 11 - Prob. 3CURPCh. 11 - Prob. 4CURPCh. 11 - Prob. 5CURPCh. 11 - Prob. 6CURPCh. 11 - Prob. 7CURP
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