Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 5, Problem 154ACA
a.
To determine
Find the
b.
To determine
Find the probability that more than one serious accident will occur within the next month.
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Microsoft Excel include formulas
Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether
there is an association between the behavior of the elderly person (did not stop to talk,
did stop to talk) and their likelihood of falling. Below, please state your null and
alternative hypotheses, calculate your expected values and write them in the table,
compute the test statistic, test the null by comparing your test statistic to the critical
value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and
provide your conclusions in written form. Make sure to show your work.
Did not stop walking to talk
Stopped walking to talk
Suffered a fall
12
11
Totals
23
Did not suffer a fall | 2
Totals
35
37
14
46
60
T
Chapter 5 Solutions
Statistics (13th Edition)
Ch. 5.2 - Give a characteristic of a uniform random...Ch. 5.2 - The uniform distribution is sometimes referred to...Ch. 5.2 - Suppose x is a random variable best described by a...Ch. 5.2 - Refer to Exercise 5.3. Find the following...Ch. 5.2 - Suppose x is a random variable best described by a...Ch. 5.2 - Refer to Exercise 5.5. Find the value of a that...Ch. 5.2 - 4.137 The random variable x is best described by a...Ch. 5.2 - The random variable x is best described by a...Ch. 5.2 - Prob. 5.1AECh. 5.2 - Prob. 5.2AE
Ch. 5.2 - Prob. 9ACBCh. 5.2 - 4.175 Requests to a Web server. According to...Ch. 5.2 - 4.142 Detecting anthrax. Researchers at the...Ch. 5.2 - Prob. 12ACBCh. 5.2 - Prob. 13ACBCh. 5.2 - Social network densities. Social networks involve...Ch. 5.2 - Prob. 15ACICh. 5.2 - Prob. 16ACICh. 5.2 - 4.147 Soft-drink dispenser. The manager of a local...Ch. 5.2 - Time delays at a bus stop. A bus is scheduled to...Ch. 5.2 - Prob. 19ACACh. 5.2 - Reliability of a robotic device. The reliability...Ch. 5.3 - Describe the shape of a normal probability...Ch. 5.3 - If x has a normal distribution with mean μ and...Ch. 5.3 - What is the name given to a normal distribution...Ch. 5.3 - Find the area under the standard normal...Ch. 5.3 - Find each of the following probabilities for a...Ch. 5.3 - Find the following probabilities for the standard...Ch. 5.3 - 4.90 Give the z-score for a measurement from a...Ch. 5.3 - Find a value z0 of the standard normal random...Ch. 5.3 - 4.88 Find a value of the standard normal random...Ch. 5.3 - Suppose the random variable x is best described by...Ch. 5.3 - 4.93 Suppose x is a normally distributed random...Ch. 5.3 - Suppose x is a normally distributed random...Ch. 5.3 - Refer to Exercise 5.32. Find x0 such that
10% of...Ch. 5.3 - Suppose x is a normally distributed random...Ch. 5.3 - The random variable x has a normal distribution...Ch. 5.3 - The random variable x has a normal distribution...Ch. 5.3 - Applet Exercise 4.6
Open the applet Sample from a...Ch. 5.3 - Dental anxiety study. To gauge their fear of going...Ch. 5.3 - 4.99 Tomato as a taste modifier. Miraculin—a...Ch. 5.3 - Deep mixing of soil. Deep mixing is a ground...Ch. 5.3 - Prob. 40ACBCh. 5.3 - Shopping vehicle and judgment. Refer to the...Ch. 5.3 - Shell lengths of sea turtles. Refer to the Aquatic...Ch. 5.3 - Prob. 43ACBCh. 5.3 - 4.191 Optimal goal target in soccer. When...Ch. 5.3 - 4.106 Voltage sags and swells. Refer to the...Ch. 5.3 - Prob. 46ACICh. 5.3 - Prob. 47ACICh. 5.3 - 4.199 Rating employee performance. Almost all...Ch. 5.3 - 4.112 California’s electoral college votes. During...Ch. 5.3 - Alcohol, threats, and electric shocks. A group of...Ch. 5.3 - 4.116 Box plots and the standard normal...Ch. 5.3 - Load on frame structures. In the Journal of the...Ch. 5.3 - Executive coaching and meeting effectiveness. Poor...Ch. 5.4 - Why is it important to check whether the sample...Ch. 5.4 - Give four methods for determining whether the...Ch. 5.4 - 4.117 If a population data set is normally...Ch. 5.4 - What is a normal probability plot and how is it...Ch. 5.4 - Prob. 59LMCh. 5.4 - 4.118 Consider a sample data set with the...Ch. 5.4 - Examine the following sample data.
Construct a...Ch. 5.4 - Examine the sample data in the next...Ch. 5.4 - Irrelevant speech effects. Refer to the analysis...Ch. 5.4 - Prob. 64ACBCh. 5.4 - Prob. 65ACBCh. 5.4 - 4.122 Shear strength of rock fractures....Ch. 5.4 - Estimating glacier elevations. Digital elevation...Ch. 5.4 - Prob. 68ACBCh. 5.4 - Prob. 69ACICh. 5.4 - Prob. 71ACICh. 5.4 - Prob. 72ACICh. 5.4 - 4.130 Permeability of sandstone during weathering....Ch. 5.4 - Prob. 74ACICh. 5.4 - Blond hair types in the Southwest Pacific. Refer...Ch. 5.4 - Prob. 76ACACh. 5.5 - For large n (say, n = 100), why is it advantageous...Ch. 5.5 - Prob. 78UPCh. 5.5 - Suppose x is a binomial random variable with p =...Ch. 5.5 - Assume that x is a binomial random variable with n...Ch. 5.5 - Prob. 81LMCh. 5.5 - Prob. 82LMCh. 5.5 - Assume that x is a binomial random variable with n...Ch. 5.5 - 4.103 Blood diamonds. According to Global Research...Ch. 5.5 - Prob. 85ACBCh. 5.5 - Where will you get your next pet? Refer to...Ch. 5.5 - Analysis of bottled water. Refer to the report on...Ch. 5.5 - LASIK surgery complications. According to studies,...Ch. 5.5 - Cesarean birth study. In Exercise 4.73 (p. 212),...Ch. 5.5 - Chemical signals of mice. Refer to the Cell (May...Ch. 5.5 - Prob. 91ACICh. 5.5 - Prob. 92ACICh. 5.5 - Prob. 93ACICh. 5.5 - Body fat in men. The percentage of fat in the...Ch. 5.5 - Prob. 95ACACh. 5.5 - Prob. 96ACACh. 5.6 - What are the characteristics of an exponential...Ch. 5.6 - The exponential distribution is often called the...Ch. 5.6 - Determine the value of e−a/θ for each of the...Ch. 5.6 - 4.135 Suppose x has an exponential distribution...Ch. 5.6 - 4.136 Suppose x has an exponential distribution...Ch. 5.6 - 4.138 The random variable x can be adequately...Ch. 5.6 - Prob. 103LMCh. 5.6 - Prob. 104ACBCh. 5.6 - Prob. 105ACBCh. 5.6 - 4.144 Critical-part failures in NASCAR vehicles....Ch. 5.6 - Prob. 107ACBCh. 5.6 - 4.140 Preventative maintenance tests. The optimal...Ch. 5.6 - Prob. 109ACICh. 5.6 - Prob. 110ACICh. 5.6 - Prob. 111ACICh. 5.6 - Prob. 112ACICh. 5.6 - Prob. 113ACACh. 5.6 - Prob. 114ACACh. 5 - Prob. 115UPCh. 5 - Prob. 116UPCh. 5 - 4.165 Find the following probabilities for the...Ch. 5 - Prob. 118LMCh. 5 - The random variable x has a normal distribution...Ch. 5 - The random variable x has a normal distribution...Ch. 5 - Prob. 121LMCh. 5 - Prob. 122LMCh. 5 - Prob. 123LMCh. 5 - Prob. 124ACBCh. 5 - Prob. 125ACBCh. 5 - Prob. 126ACBCh. 5 - Prob. 127ACBCh. 5 - Prob. 128ACBCh. 5 - Prob. 129ACBCh. 5 - Prob. 130ACBCh. 5 - Prob. 131ACBCh. 5 - Where will you get your next pet? Refer to...Ch. 5 - Prob. 133ACBCh. 5 - Prob. 134ACBCh. 5 - Prob. 135ACBCh. 5 - Prob. 136ACICh. 5 - Visually impaired students. The Journal of Visual...Ch. 5 - Prob. 138ACICh. 5 - Prob. 139ACICh. 5 - Prob. 140ACICh. 5 - Galaxy velocity study. Recall The Astronomical...Ch. 5 - Prob. 142ACICh. 5 - Prob. 143ACICh. 5 - Prob. 144ACICh. 5 - 4.126 Wear-out of used display panels. Wear-out...Ch. 5 - Prob. 146ACICh. 5 - Forest development following wildfires. Ecological...Ch. 5 - Prob. 148ACICh. 5 - Prob. 149ACICh. 5 - Prob. 150ACICh. 5 - Prob. 151ACICh. 5 - 4.152 Reliability of CO-ROMs. In Reliability Ques...Ch. 5 - Prob. 153ACACh. 5 - Prob. 154ACACh. 5 - Prob. 155ACACh. 5 - Prob. 156CTCCh. 5 - Prob. 157CTC
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