Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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Chapter 4.6, Problem A.2RE
What is the difference between a
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Compute the relative risk of falling for the two groups (did not stop walking vs. did stop). State/interpret your result verbally.
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
Chapter 4 Solutions
Fundamentals of Biostatistics
Ch. 4.6 - What is the difference between a frequency...Ch. 4.6 - What is the difference between a probability-mass...Ch. 4.6 - In Table 4.4 the random variable X represents the...Ch. 4.7 - Suppose we select 3 students randomly out of a...Ch. 4.7 - Suppose we select 2 students randomly from a class...Ch. 4.9 - The probability of a woman developing breast...Ch. 4.9 - Suppose we have 10 subjects and the probability of...Ch. 4.13 - Suppose the number of motor-vehicle fatalities in...Ch. 4.13 - Suppose a rare infectious disease occurs at the...Ch. 4 - Let X be the random variable representing the...
Ch. 4 - Let X be the random variable representing the...Ch. 4 - Let X be the random variable representing the...Ch. 4 - Let X be the random variable representing the...Ch. 4 - Suppose we want to check the accuracy of...Ch. 4 - Suppose we want to check the accuracy of...Ch. 4 - Evaluate (100),(101),,(1010).Ch. 4 - Evaluate 9!.Ch. 4 - Suppose 6 of 15 students in a grade-school class...Ch. 4 - What is the expected number of students in the...Ch. 4 - What is the probability of obtaining exactly 6...Ch. 4 - What is the probability of obtaining at least 6...Ch. 4 - What is the expected value and variance for a...Ch. 4 - Prob. 14PCh. 4 - Infectious Disease Newborns were screened for...Ch. 4 - Infectious Disease Newborns were screened for...Ch. 4 - Infectious Disease Newborns were screened for...Ch. 4 - Infectious Disease Newborns were screened for...Ch. 4 - Prob. 19PCh. 4 - Infectious Disease Newborns were screened for...Ch. 4 - Infectious Disease Newborns were screened for...Ch. 4 - Infectious Disease Newborns were screened for...Ch. 4 - Suppose 10 gonorrhea cases are reported over a...Ch. 4 - Assume the number of episodes per year of otitis...Ch. 4 - Assume the number of episodes per year of otitis...Ch. 4 - An interesting question in pediatrics is whether...Ch. 4 - What is the probability that exactly 1 sibling...Ch. 4 - An interesting question in pediatrics is whether...Ch. 4 - What is the expected number of siblings in a...Ch. 4 - A national study found that treating people...Ch. 4 - A national study found that treating people...Ch. 4 - A national study found that treating people...Ch. 4 - The presence of bacteria in a urine sample...Ch. 4 - The presence of bacteria in a urine sample...Ch. 4 - The presence of bacteria in a urine sample...Ch. 4 - One interesting phenomenon of bacteriuria is that...Ch. 4 - One interesting phenomenon of bacteriuria is that...Ch. 4 - Otitis media is a disease that occurs frequently...Ch. 4 - Otitis media is a disease that occurs frequently...Ch. 4 - Otitis media is a disease that occurs frequently...Ch. 4 - Otitis media is a disease that occurs frequently...Ch. 4 - An experiment is designed to test the potency of a...Ch. 4 - An experiment is designed to test the potency of a...Ch. 4 - An experiment is designed to test the potency of a...Ch. 4 - An experiment is designed to test the potency of a...Ch. 4 - An experiment is designed to test the potency of a...Ch. 4 - An experiment is designed to test the potency of a...Ch. 4 - An important issue in assessing nuclear energy is...Ch. 4 - Prob. 49PCh. 4 - An important issue in assessing nuclear energy is...Ch. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - A topic of some interest in the genetic literature...Ch. 4 - A study considered risk factors for HIV infection...Ch. 4 - A study considered risk factors for HIV infection...Ch. 4 - A study considered risk factors for HIV infection...Ch. 4 - A study considered risk factors for HIV infection...Ch. 4 - A study considered risk factors for HIV infection...Ch. 4 - A study [12] of incidence rates of blindness among...Ch. 4 - A study [12] of incidence rates of blindness among...Ch. 4 - A study [12] of incidence rates of blindness among...Ch. 4 - A study [12] of incidence rates of blindness among...Ch. 4 - A study [12] of incidence rates of blindness among...Ch. 4 - An article was published [13] concerning the...Ch. 4 - An article was published [13] concerning the...Ch. 4 - An article was published [13] concerning the...Ch. 4 - Some previous studies have shown a relationship...Ch. 4 - Some previous studies have shown a relationship...Ch. 4 - Some previous studies have shown a relationship...Ch. 4 - Some previous studies have shown a relationship...Ch. 4 - The number of legal induced abortions per year per...Ch. 4 - Table 4.19 Annual incidence of legal induced...Ch. 4 - Some previous studies have shown a relationship...Ch. 4 - Prob. 80PCh. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - The two-stage model of carcinogenesis is based on...Ch. 4 - The two-stage model of carcinogenesis is based on...Ch. 4 - The two-stage model of carcinogenesis is based on...Ch. 4 - The data in Table 4.20 were reported by men in the...Ch. 4 - The data in Table 4.20 were reported by men in the...Ch. 4 - Prob. 88PCh. 4 - Suppose the number of admissions to the emergency...Ch. 4 - Suppose the number of admissions to the emergency...Ch. 4 - Suppose the number of admissions to the emergency...Ch. 4 - Prob. 92PCh. 4 - Prob. 93PCh. 4 - Prob. 94PCh. 4 - Suppose a city is divided into eight census tracts...Ch. 4 - A study was performed concerning medical...Ch. 4 - Suppose the flight attendants total duration of...Ch. 4 - The more significant IFMs result in an aircraft...Ch. 4 - A study was performed to assess the feasibility of...Ch. 4 - A study was performed to assess the feasibility of...Ch. 4 - A clinical trial was conducted among 178 patients...Ch. 4 - Prob. 102PCh. 4 - Suppose we have 10 patients who receive...Ch. 4 - Mesothelioma is an asbestos-related neoplasm that...Ch. 4 - Mesothelioma is an asbestos-related neoplasm that...Ch. 4 - Mesothelioma is an asbestos-related neoplasm that...
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- 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 Tarrow_forwardQuestion 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…arrow_forwardName: 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_forward
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- Solve please and thank you!arrow_forwardQuestion 1:We want to evaluate the impact on the monetary economy for a company of two types of strategy (competitive strategy, cooperative strategy) adopted by buyers.Competitive strategy: strategy characterized by firm behavior aimed at obtaining concessions from the buyer.Cooperative strategy: a strategy based on a problem-solving negotiating attitude, with a high level of trust and cooperation.A random sample of 17 buyers took part in a negotiation experiment in which 9 buyers adopted the competitive strategy, and the other 8 the cooperative strategy. The savings obtained for each group of buyers are presented in the pdf that i sent: For this problem, we assume that the samples are random and come from two normal populations of unknown but equal variances.According to the theory, the average saving of buyers adopting a competitive strategy will be lower than that of buyers adopting a cooperative strategy.a) Specify the population identifications and the hypotheses H0 and H1…arrow_forwardYou assume that the annual incomes for certain workers are normal with a mean of $28,500 and a standard deviation of $2,400. What’s the chance that a randomly selected employee makes more than $30,000?What’s the chance that 36 randomly selected employees make more than $30,000, on average?arrow_forward
- What’s the chance that a fair coin comes up heads more than 60 times when you toss it 100 times?arrow_forwardSuppose that you have a normal population of quiz scores with mean 40 and standard deviation 10. Select a random sample of 40. What’s the chance that the mean of the quiz scores won’t exceed 45?Select one individual from the population. What’s the chance that his/her quiz score won’t exceed 45?arrow_forwardSuppose that you take a sample of 100 from a population that contains 45 percent Democrats. What sample size condition do you need to check here (if any)?What’s the standard error of ^P?Compare the standard errors of ^p n=100 for ,n=1000 , n=10,000, and comment.arrow_forward
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