question 4.48a and b are given {c } part for this question is to Calculate the mean and the standard deviation of the binomial distribution. 2 R. Lyman Ott, Michael Longnecker - An Introduction to Statistical Methods and Data Analysis-Cengage (2016).pdf - Adobe ReaderFile Edit View Window Help216 (229 of 1179)125%CommentShareBus.4.46The quality control department examines all the products returned to a store by custom-Bookmarksers. An examination of the returned products yields the following assessment: 5% are defec-tive and not repairable, 45% are defective but repairable, 35% have small surface scratches butare functioning properly, and 15% have no problems. Compute the following probabilities for arandom sample of 20 returned products:Enter your search termW ContentsP Prefacea. All of the 20 returned products have some type of problem.b. Exactly 6 of the 20 returned products are defective and not repairable.c. Of the 20 returned products, 6 or more are defective and not functioning properly.d. None of the 20 returned products has any sort of defect.+W Statistics &Scientific MethodET Surveys &Med.4.47 Knee replacements have emerged as a mainstream surgery. According to the KneeReplacement Statistics Agency of Research and Quality (AHRQ), over 600,000 procedures were per-formed in 2009, and the number is expected to grow into the millions by the year 2030. Accordingto the American Academy of Orthopedic Surgeons (AAOS), serious complications occur in less than2% of cases. If AAOS is correct that only 2% of knee replacement patients have serious com-plications, would the next 10 patients at a major teaching hospital receiving a knee replacementconstitute a binomial experiment with n = 10 and 7 = .02? Justify your answer.ExperimentalStudies to gatherData+ I Data DescriptionET Probability &ProbabilityDistributionsBus.4.48 The CFO of a hospital is concerned about the risk of patients contracting an infectionafter a one-week or longer stay in the hospital. A long-term study estimates that the chance ofcontracting an infection after a one-week or longer stay in a hospital is 10%. A random sample of50 patients who have been in the hospital at least 1 week is selected.+P Inferences aboutPopulation CentralValuesEP Inferencesa. If the 10% infection rate is correct, what is the probability that at least 5 patientsComparing 2Population CentralValuesout of the 50 will have an infection?b. What assumptions are you making in computing the probability in part (a)?Baslc4.49 Suppose the random variable y has a Poisson distribution. Compute the followingprobabilities:+P Inferences aboutPopulationVariancesa. P(y = 4) given µ = 2b. P(y = 4) given µ = 3.5+ P Inferences aboutmore than 2Population CentralValuesENG 12:11 AMP Type here to search71°FIN9/25/2021

Given : 4.48) Probability,p = 0.10 number of trial,n = 50

Answered: constitute a binomial experiment with n…

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question 4.48

a and b are given

{c } part for this question is to Calculate the mean and the standard deviation of the binomial distribution.

2 R. Lyman Ott, Michael Longnecker - An Introduction to Statistical Methods and Data Analysis-Cengage (2016).pdf - Adobe Reader
File Edit View Window Help
216 (229 of 1179)
125%
Comment
Share
Bus.
4.46
The quality control department examines all the products returned to a store by custom-
Bookmarks
ers. An examination of the returned products yields the following assessment: 5% are defec-
tive and not repairable, 45% are defective but repairable, 35% have small surface scratches but
are functioning properly, and 15% have no problems. Compute the following probabilities for a
random sample of 20 returned products:
Enter your search term
W Contents
P Preface
a. All of the 20 returned products have some type of problem.
b. Exactly 6 of the 20 returned products are defective and not repairable.
c. Of the 20 returned products, 6 or more are defective and not functioning properly.
d. None of the 20 returned products has any sort of defect.
+W Statistics &
Scientific Method
ET Surveys &
Med.
4.47 Knee replacements have emerged as a mainstream surgery. According to the Knee
Replacement Statistics Agency of Research and Quality (AHRQ), over 600,000 procedures were per-
formed in 2009, and the number is expected to grow into the millions by the year 2030. According
to the American Academy of Orthopedic Surgeons (AAOS), serious complications occur in less than
2% of cases. If AAOS is correct that only 2% of knee replacement patients have serious com-
plications, would the next 10 patients at a major teaching hospital receiving a knee replacement
constitute a binomial experiment with n = 10 and 7 = .02? Justify your answer.
Experimental
Studies to gather
Data
+ I Data Description
ET Probability &
Probability
Distributions
Bus.
4.48 The CFO of a hospital is concerned about the risk of patients contracting an infection
after a one-week or longer stay in the hospital. A long-term study estimates that the chance of
contracting an infection after a one-week or longer stay in a hospital is 10%. A random sample of
50 patients who have been in the hospital at least 1 week is selected.
+P Inferences about
Population Central
Values
EP Inferences
a. If the 10% infection rate is correct, what is the probability that at least 5 patients
Comparing 2
Population Central
Values
out of the 50 will have an infection?
b. What assumptions are you making in computing the probability in part (a)?
Baslc
4.49 Suppose the random variable y has a Poisson distribution. Compute the following
probabilities:
+P Inferences about
Population
Variances
a. P(y = 4) given µ = 2
b. P(y = 4) given µ = 3.5
+ P Inferences about
more than 2
Population Central
Values
ENG 12:11 AM
P Type here to search
71°F
IN
9/25/2021

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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