Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 10.6, Problem 1AYU
To determine
To explain: Type II error.
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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
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 10 Solutions
Statistics: Informed Decisions Using Data (5th Edition)
Ch. 10.1 - 1. A ___________ is a statement regarding a...Ch. 10.1 - 2. ___________ ___________ is a procedure, based...Ch. 10.1 - 3. The ___________ ________ is a statement of no...Ch. 10.1 - 4. The ___________ ___________ is a statement we...Ch. 10.1 - 5. If we reject the null hypothesis when the...Ch. 10.1 - 6. If we do not reject the null hypothesis when...Ch. 10.1 - 7. The ___________ is the probability of making a...Ch. 10.1 - 8. True or False: Sample evidence can prove a null...Ch. 10.1 - Prob. 9AYUCh. 10.1 - In Problems 9–14, the null and alternative...
Ch. 10.1 - Prob. 11AYUCh. 10.1 - Prob. 12AYUCh. 10.1 - Prob. 13AYUCh. 10.1 - Prob. 14AYUCh. 10.1 - In Problems 15–22, (a) determine the null and...Ch. 10.1 - In Problems 15–22, (a) determine the null and...Ch. 10.1 - In Problems 15–22, (a) determine the null and...Ch. 10.1 - In Problems 15–22, (a) determine the null and...Ch. 10.1 - In Problems 15–22, (a) determine the null and...Ch. 10.1 - In Problems 15–22, (a) determine the null and...Ch. 10.1 - In Problems 15–22, (a) determine the null and...Ch. 10.1 - In Problems 15–22, (a) determine the null and...Ch. 10.1 - Prob. 23AYUCh. 10.1 - Prob. 24AYUCh. 10.1 - Prob. 25AYUCh. 10.1 - Prob. 26AYUCh. 10.1 - Prob. 27AYUCh. 10.1 - Prob. 28AYUCh. 10.1 - Prob. 29AYUCh. 10.1 - Prob. 30AYUCh. 10.1 - Prob. 31AYUCh. 10.1 - Prob. 32AYUCh. 10.1 - In Problems 23–34, state the conclusion based on...Ch. 10.1 - Prob. 34AYUCh. 10.1 - Prob. 35AYUCh. 10.1 - Prob. 36AYUCh. 10.1 - 37. E-Cigs According to the Centers for Disease...Ch. 10.1 - 38. Migraines According to the Centers for Disease...Ch. 10.1 - Prob. 39AYUCh. 10.1 - Prob. 40AYUCh. 10.1 - Prob. 41AYUCh. 10.1 - Prob. 42AYUCh. 10.1 - 43. What happens to the probability of making a...Ch. 10.1 - 44. The following is a quotation from Sir Ronald...Ch. 10.1 - 45. In your own words, explain the difference...Ch. 10.2 - 1. When observed results are unlikely under the...Ch. 10.2 - Prob. 2AYUCh. 10.2 - Prob. 3AYUCh. 10.2 - Prob. 4AYUCh. 10.2 - Prob. 5AYUCh. 10.2 - Prob. 6AYUCh. 10.2 - Prob. 7AYUCh. 10.2 - Prob. 8AYUCh. 10.2 - Prob. 9AYUCh. 10.2 - Prob. 10AYUCh. 10.2 - Prob. 11AYUCh. 10.2 - Prob. 12AYUCh. 10.2 - Prob. 13AYUCh. 10.2 - Prob. 14AYUCh. 10.2 - 15. Cramer Correct Less Than Half the Time? The...Ch. 10.2 - 16. Political Pundits In his book, "The Signal and...Ch. 10.2 - NW 17. Lipitor The drug Lipitor is meant to reduce...Ch. 10.2 - 18. Nexium Nexium is a drug that can be used to...Ch. 10.2 - 19. Fatal Traffic Accidents According to the...Ch. 10.2 - 20. Eating Together In December 2001, 38% of...Ch. 10.2 - NW 21. Taught Enough Math? In 1994, 52% of parents...Ch. 10.2 - 22. Living Alone? In 2000, 58% of females aged 15...Ch. 10.2 - Prob. 23AYUCh. 10.2 - Prob. 24AYUCh. 10.2 - Prob. 25AYUCh. 10.2 - Prob. 26AYUCh. 10.2 - Prob. 27AYUCh. 10.2 - 28. Small-Sample Hypothesis Test In 1997, 4% of...Ch. 10.2 - Prob. 29AYUCh. 10.2 - Prob. 30AYUCh. 10.2 - Prob. 31AYUCh. 10.2 - Prob. 32AYUCh. 10.2 - Prob. 33AYUCh. 10.2 - Prob. 34AYUCh. 10.2 - Prob. 35AYUCh. 10.2 - Prob. 36AYUCh. 10.2 - 37. Simulation: Predicting the Future...Ch. 10.2 - Prob. 38AYUCh. 10.2 - 39. Putting It Together: Naughty or Nice? Yale...Ch. 10.2 - Prob. 40AYUCh. 10.2 - Prob. 41AYUCh. 10.2 - Prob. 42AYUCh. 10.2 - Prob. 43AYUCh. 10.2 - Prob. 44AYUCh. 10.2 - Prob. 45AYUCh. 10.3 - 1. (a) Determine the critical value for a...Ch. 10.3 - Prob. 2AYUCh. 10.3 - Prob. 3AYUCh. 10.3 - 4. To test H0: µ = 40 versus H1: > 40, a simple...Ch. 10.3 - 5. To test H0: μ = 100 versus H1: μ ≠ 100, a...Ch. 10.3 - Prob. 6AYUCh. 10.3 - Prob. 7AYUCh. 10.3 - 8. To test H0: μ = 4.5 versus H1: μ > 4.5, a...Ch. 10.3 - Prob. 9AYUCh. 10.3 - Prob. 10AYUCh. 10.3 - Prob. 11AYUCh. 10.3 - Prob. 12AYUCh. 10.3 - NW 13. Ready for College? The ACT is a college...Ch. 10.3 - 14. SAT Verbal Scores Do students who learned...Ch. 10.3 - 15. Effects of Alcohol on the Brain In a study...Ch. 10.3 - 16. Effects of Plastic Resin Para-nonylphenol is...Ch. 10.3 - 17. Credit Scores A Fair Isaac Corporation (FICO)...Ch. 10.3 - 18. TVaholics According to the American Time Use...Ch. 10.3 - 19. Age of Death-Row Inmates In 2002, the mean age...Ch. 10.3 - 20. Energy Consumption In 2001, the mean household...Ch. 10.3 - Prob. 21AYUCh. 10.3 - Prob. 22AYUCh. 10.3 - Prob. 23AYUCh. 10.3 - Prob. 24AYUCh. 10.3 - Prob. 25AYUCh. 10.3 - Prob. 26AYUCh. 10.3 - Prob. 27AYUCh. 10.3 - Prob. 28AYUCh. 10.3 - Prob. 29AYUCh. 10.3 - Prob. 30AYUCh. 10.3 - 31. Statistical Significance versus Practical...Ch. 10.3 - Prob. 32AYUCh. 10.3 - Prob. 33AYUCh. 10.3 - Prob. 34AYUCh. 10.3 - Prob. 35AYUCh. 10.3 - Prob. 36AYUCh. 10.3 - Prob. 37AYUCh. 10.3 - Prob. 38AYUCh. 10.3 - Prob. 39AYUCh. 10.3 - Prob. 40AYUCh. 10.4 - 1. (a) Determine the critical value for a...Ch. 10.4 - Prob. 2AYUCh. 10.4 - Prob. 3AYUCh. 10.4 - Prob. 4AYUCh. 10.4 - Prob. 5AYUCh. 10.4 - Prob. 6AYUCh. 10.4 - Prob. 7AYUCh. 10.4 - Prob. 8AYUCh. 10.4 - NW 9. Mutual Fund Risk One measure of the risk of...Ch. 10.4 - 10. Filling Machine A machine fills bottles with...Ch. 10.4 - 11. Pump Design The piston diameter of a certain...Ch. 10.4 - 12. Counting Carbs The manufacturer of processed...Ch. 10.4 - Prob. 13AYUCh. 10.4 - Prob. 14AYUCh. 10.4 - Prob. 15AYUCh. 10.4 - Prob. 16AYUCh. 10.4 - Prob. 17AYUCh. 10.4 - Prob. 18AYUCh. 10.5 - 1. A simple random sample of size n = 19 is drawn...Ch. 10.5 - 2. A simple random sample of size n = 200...Ch. 10.5 - Prob. 3AYUCh. 10.5 - Prob. 4AYUCh. 10.5 - Prob. 5AYUCh. 10.5 - Prob. 6AYUCh. 10.5 - Prob. 7AYUCh. 10.5 - 8. A simple random sample of size n = 320 adults...Ch. 10.5 - Prob. 9AYUCh. 10.5 - Prob. 10AYUCh. 10.5 - Prob. 11AYUCh. 10.5 - Prob. 12AYUCh. 10.5 - Prob. 13AYUCh. 10.5 - Prob. 14AYUCh. 10.5 - Prob. 15AYUCh. 10.5 - Prob. 16AYUCh. 10.5 - Prob. 17AYUCh. 10.5 - Prob. 18AYUCh. 10.5 - Prob. 19AYUCh. 10.5 - Prob. 20AYUCh. 10.5 - Prob. 21AYUCh. 10.5 - Prob. 22AYUCh. 10.5 - Prob. 23AYUCh. 10.5 - Prob. 24AYUCh. 10.5 - Prob. 25AYUCh. 10.5 - Prob. 26AYUCh. 10.5 - Prob. 27AYUCh. 10.5 - Prob. 28AYUCh. 10.5 - Prob. 29AYUCh. 10.6 - Prob. 1AYUCh. 10.6 - Prob. 2AYUCh. 10.6 - Prob. 3AYUCh. 10.6 - Prob. 4AYUCh. 10.6 - Prob. 5AYUCh. 10.6 - Prob. 6AYUCh. 10.6 - Prob. 7AYUCh. 10.6 - Prob. 8AYUCh. 10.6 - Prob. 9AYUCh. 10.6 - Prob. 10AYUCh. 10.6 - Prob. 11AYUCh. 10.6 - Prob. 12AYUCh. 10.6 - Prob. 13AYUCh. 10.6 - Prob. 14AYUCh. 10.6 - Prob. 15AYUCh. 10.6 - Prob. 16AYUCh. 10.6 - Prob. 17AYUCh. 10.6 - Prob. 18AYUCh. 10.6 - Prob. 19AYUCh. 10.6 - Prob. 20AYUCh. 10.6 - Prob. 21AYUCh. 10.6 - Prob. 22AYUCh. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Prob. 7RECh. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - 23. Explain the difference between "accepting" and...Ch. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 1CTCh. 10 - Prob. 2CTCh. 10 - Prob. 3CTCh. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - Prob. 8CTCh. 10 - Prob. 9CTCh. 10 - Prob. CS
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