Elementary Statistics (Text Only)
2nd Edition
ISBN: 9780077836351
Author: Author
Publisher: McGraw Hill
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Chapter 1, Problem 12CQ
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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
Question 2
Parts manufactured by an injection molding process are subjected to a compressive strength test. Twenty samples
of five parts each are collected, and the compressive strengths (in psi) are shown in Table 2.
Table 2: Strength Data for Question 2
Sample Number
x1
x2
23
x4
x5
R
1
83.0
2
88.6 78.3 78.8
3
85.7
75.8
84.3
81.2 78.7 75.7 77.0
71.0 84.2
81.0
79.1
7.3
80.2 17.6
75.2
80.4
10.4
4
80.8
74.4
82.5
74.1 75.7 77.5
8.4
5
83.4
78.4
82.6 78.2
78.9
80.3
5.2
File Preview
6
75.3
79.9
87.3 89.7
81.8
82.8
14.5
7
74.5
78.0 80.8
73.4
79.7
77.3
7.4
8
79.2
84.4 81.5 86.0
74.5
81.1
11.4
9
80.5
86.2
76.2 64.1
80.2
81.4
9.9
10
75.7
75.2
71.1 82.1
74.3
75.7
10.9
11
80.0 81.5
78.4 73.8
78.1
78.4
7.7
12
80.6
81.8
79.3
73.8
81.7 79.4
8.0
13
82.7
81.3
79.1
82.0 79.5 80.9
3.6
14
79.2
74.9
78.6 77.7
75.3
77.1
4.3
15
85.5 82.1
82.8 73.4
71.7
79.1
13.8
16
78.8 79.6
80.2 79.1
80.8 79.7
2.0
17
82.1
78.2
18
84.5
76.9
75.5
83.5 81.2
19
79.0 77.8
20
84.5
73.1
78.2 82.1
79.2 81.1 7.6
81.2 84.4 81.6 80.8…
Chapter 1 Solutions
Elementary Statistics (Text Only)
Ch. 1.1 - In Exercises 7—12, fill in each blank with the...Ch. 1.1 - In Exercises 7—12, fill in each blank with the...Ch. 1.1 - In Exercises 7—12, fill in each blank with the...Ch. 1.1 - In Exercises 7—12, fill in each blank with the...Ch. 1.1 - In Exercises 7—12, fill in each blank with the...Ch. 1.1 - In Exercises 7—12, fill in each blank with the...Ch. 1.1 - In Exercises 13—16, determine whether the...Ch. 1.1 - In Exercises 13—16, determine whether the...Ch. 1.1 - In Exercises 13—16, determine whether the...Ch. 1.1 - In Exercises 13—16, determine whether the...
Ch. 1.1 - In Exercises 17—20, determine whether the number...Ch. 1.1 - In Exercises 17—20, determine whether the number...Ch. 1.1 - In Exercises 17—20, determine whether the number...Ch. 1.1 - In Exercises 17—20, determine whether the number...Ch. 1.1 - Exercises 21—24 refer to the population of...Ch. 1.1 - Exercises 21—24 refer to the population of...Ch. 1.1 - Exercises 21—24 refer to the population of...Ch. 1.1 - Exercises 21—24 refer to the population of...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - In Exercises 25—36, identify the kind of sample...Ch. 1.1 - Computer network: Every third day, a computer...Ch. 1.1 - Smartphone apps: A smartphone app produces a...Ch. 1.1 - Youre giving me a headache: A pharmaceutical...Ch. 1.1 - Pay more for recreation? The director of the...Ch. 1.1 - Voter preferences: A pollster wants to sample 500...Ch. 1.1 - Quality control: Products come off an assembly...Ch. 1.1 - On-site day care: A large company wants to sample...Ch. 1.1 - The tax man cometh: The Internal Revenue Service...Ch. 1.1 - Draw a sample: Imagine that you are asked to...Ch. 1.1 - A systematic sample is a cluster sample: Explain...Ch. 1.2 - In Exercises 5—10, fill in each blank with the...Ch. 1.2 - In Exercises 5—10, fill in each blank with the...Ch. 1.2 - In Exercises 5—10, fill in each blank with the...Ch. 1.2 - In Exercises 5—10, fill in each blank with the...Ch. 1.2 - In Exercises 5—10, fill in each blank with the...Ch. 1.2 - In Exercises 5—10, fill in each blank with the...Ch. 1.2 - In Exercises 11—14, determine whether the...Ch. 1.2 - In Exercises 11—14, determine whether the...Ch. 1.2 - In Exercises 11—14, determine whether the...Ch. 1.2 - In Exercises 11—14, determine whether the...Ch. 1.2 - In Exercises 15—24, determine whether the data...Ch. 1.2 - In Exercises 15—24, determine whether the data...Ch. 1.2 - In Exercises 15—24, determine whether the data...Ch. 1.2 - In Exercises 15—24, determine whether the data...Ch. 1.2 - In Exercises 15—24, determine whether the data...Ch. 1.2 - In Exercises 15—24, determine whether the data...Ch. 1.2 - In Exercises 15—24, determine whether the data...Ch. 1.2 - In Exercises 15—24, determine whether the data...Ch. 1.2 - In Exercises 15—24, determine whether the data...Ch. 1.2 - In Exercises 15—24, determine whether the data...Ch. 1.2 - In Exercises 25—32, determine whether the data...Ch. 1.2 - In Exercises 25—32, determine whether the data...Ch. 1.2 - In Exercises 25—32, determine whether the data...Ch. 1.2 - In Exercises 25—32, determine whether the data...Ch. 1.2 - In Exercises 25—32, determine whether the data...Ch. 1.2 - In Exercises 25—32, determine whether the data...Ch. 1.2 - In Exercises 25—32, determine whether the data...Ch. 1.2 - In Exercises 25—32, determine whether the data...Ch. 1.2 - In Exercises 33—40, determine whether the data...Ch. 1.2 - In Exercises 33—40, determine whether the data...Ch. 1.2 - In Exercises 33—40, determine whether the data...Ch. 1.2 - In Exercises 33—40, determine whether the data...Ch. 1.2 - In Exercises 33—40, determine whether the data...Ch. 1.2 - In Exercises 33—40, determine whether the data...Ch. 1.2 - In Exercises 33—40, determine whether the data...Ch. 1.2 - In Exercises 33—40, determine whether the data...Ch. 1.2 - Prob. 41ECh. 1.2 - Prob. 42ECh. 1.2 - Prob. 43ECh. 1.2 - Prob. 44ECh. 1.2 - Read any good books lately? According to time...Ch. 1.2 - Prob. 46ECh. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - What do the numbers mean?A survey is administered...Ch. 1.3 - In Exercises 5—10, fill in each blank with the...Ch. 1.3 - In Exercises 5—10, fill in each blank with the...Ch. 1.3 - In Exercises 5—10, fill in each blank with the...Ch. 1.3 - In Exercises 5—10, fill in each blank with the...Ch. 1.3 - In Exercises 5—10, fill in each blank with the...Ch. 1.3 - In Exercises 5—10, fill in each blank with the...Ch. 1.3 - In Exercise 11—16, determine whether the...Ch. 1.3 - In Exercise 11—16, determine whether the...Ch. 1.3 - In Exercise 11—16, determine whether the...Ch. 1.3 - In Exercise 11—16, determine whether the...Ch. 1.3 - In Exercise 11—16, determine whether the...Ch. 1.3 - In Exercise 11—16, determine whether the...Ch. 1.3 - To determine the effectiveness of a new pain...Ch. 1.3 - A medical researcher wants to determine whether...Ch. 1.3 - A medical researcher wants to determine whether...Ch. 1.3 - An agricultural scientist wants to determine the...Ch. 1.3 - Air pollution and colds: A scientist wants to...Ch. 1.3 - Cold medications: A scientist wants to determine...Ch. 1.3 - Taxicabs and crime: A sociologist discovered that...Ch. 1.3 - Recovering from heart attacks: In a study of...Ch. 1.3 - Eat your vegetables: In an observational study,...Ch. 1.3 - Vocabulary and height: A vocabulary test was given...Ch. 1.3 - Secondhand smoke: A recent study compared the...Ch. 1.3 - Pollution in China: In a recent study, Z. Zhao and...Ch. 1.3 - The Salk Vaccine Trial: In 1954, the first vaccine...Ch. 1.3 - Another Salk Vaccine Trial: Another study of the...Ch. 1.4 - In Exercises 3—5, fill in each blank with the...Ch. 1.4 - In Exercises 3—5, fill in each blank with the...Ch. 1.4 - In Exercises 3—5, fill in each blank with the...Ch. 1.4 - In Exercises 6—8, determine whether the...Ch. 1.4 - In Exercises 6—8, determine whether the...Ch. 1.4 - In Exercises 6—8, determine whether the...Ch. 1.4 - In Exercises 9—16, specify the type of bias...Ch. 1.4 - In Exercises 9—16, specify the type of bias...Ch. 1.4 - In Exercises 9—16, specify the type of bias...Ch. 1.4 - In Exercises 9—16, specify the type of bias...Ch. 1.4 - In Exercises 9—16, specify the type of bias...Ch. 1.4 - In Exercises 9—16, specify the type of bias...Ch. 1.4 - In Exercises 9—16, specify the type of bias...Ch. 1.4 - In Exercises 9—16, specify the type of bias...Ch. 1.4 - Nuclear power, anyone? In a survey conducted by...Ch. 1.4 - Whos calling, please? Random-digit dialing is a...Ch. 1.4 - Whos calling, please? Many polls are conducted...Ch. 1.4 - Order of choices: When multiple-choice questions...Ch. 1.4 - Literary Digest poll: In the 1936 presidential...Ch. 1 - Provide an example of a qualitative variable and...Ch. 1 - Is the name of your favorite author a qualitative...Ch. 1 - Prob. 3CQCh. 1 - Prob. 4CQCh. 1 - True or false: Ideally, a sample should represent...Ch. 1 - Prob. 6CQCh. 1 - Prob. 7CQCh. 1 - Prob. 8CQCh. 1 - Prob. 9CQCh. 1 - Prob. 10CQCh. 1 - Prob. 11CQCh. 1 - Prob. 12CQCh. 1 - In analyzing the course grades of students in an...Ch. 1 - Prob. 14CQCh. 1 - Prob. 15CQCh. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - In Exercises 5—8, identify the kind of sample...Ch. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Fluoride and tooth decay: Researchers examine the...Ch. 1 - Better gas mileage: A taxi company in a large city...Ch. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Describe the difference between a stratified...Ch. 1 - Prob. 2WAICh. 1 - Describe circumstances under which each of the...Ch. 1 - Suppose that you were asked to collect some...Ch. 1 - Prob. 5WAICh. 1 - What are the primary differences between a...Ch. 1 - What are the advantages of a double-blind study?...Ch. 1 - Prob. 8WAICh. 1 - Prob. 9WAICh. 1 - Air pollution is a serious problem in many places....Ch. 1 - Prob. 2CSCh. 1 - Air pollution is a serious problem in many places....Ch. 1 - Air pollution is a serious problem in many places....Ch. 1 - Air pollution is a serious problem in many places....Ch. 1 - Air pollution is a serious problem in many places....Ch. 1 - Is there a large difference between the percentage...Ch. 1 - Explain why the percentage of high-exposure people...Ch. 1 - Explain why the percentage of low-exposure people...Ch. 1 - As the weather sets warmer. PM goes down because...Ch. 1 - It is generally the case in epidemiologic studies...Ch. 1 - Rather than send out questionnaires, the...
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- Name: Lab Time: Quiz 7 & 8 (Take Home) - due Wednesday, Feb. 26 Contingency Analysis (Ch. 9) In lab 5, part 3, you will create a mosaic plot and conducted a chi-square contingency test to evaluate whether elderly patients who did not stop walking to talk (vs. those who did stop) were more likely to suffer a fall in the next six months. I have tabulated the data below. Answer the questions below. Please show your calculations on this or a separate sheet. Did not stop walking to talk Stopped walking to talk Totals Suffered a fall Did not suffer a fall Totals 12 11 23 2 35 37 14 14 46 60 Quiz 7: 1. (2 pts) Compute the odds of falling for each group. Compute the odds ratio for those who did not stop walking vs. those who did stop walking. Interpret your result verbally.arrow_forwardSolve please and thank you!arrow_forward7. In a 2011 article, M. Radelet and G. Pierce reported a logistic prediction equation for the death penalty verdicts in North Carolina. Let Y denote whether a subject convicted of murder received the death penalty (1=yes), for the defendant's race h (h1, black; h = 2, white), victim's race i (i = 1, black; i = 2, white), and number of additional factors j (j = 0, 1, 2). For the model logit[P(Y = 1)] = a + ß₁₂ + By + B²², they reported = -5.26, D â BD = 0, BD = 0.17, BY = 0, BY = 0.91, B = 0, B = 2.02, B = 3.98. (a) Estimate the probability of receiving the death penalty for the group most likely to receive it. [4 pts] (b) If, instead, parameters used constraints 3D = BY = 35 = 0, report the esti- mates. [3 pts] h (c) If, instead, parameters used constraints Σ₁ = Σ₁ BY = Σ; B = 0, report the estimates. [3 pts] Hint the probabilities, odds and odds ratios do not change with constraints.arrow_forward
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