Upon arrival at a hospital’s emergency room, patients are categorized according to theircondition as critical, serious, or stable. In the past year:10% of the emergency room patients were critical;30% of the emergency room patients were serious;the rest of the emergency room patients were stable;(i)(ii)(iii)(iv) 40% of the critical patients died;(vi) 10% of the serious patients died; and(vii) 1% of the stable patients died.Given that a patient survived, calculate the probability that the patient was categorized asserious upon arrival.

Answered: Image /qna-images/answer/07748f4d-518a-46bb-a65e-ff92f633e63e.jpg

Answered: Upon arrival at a hospital’s emergency…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A. Headache Pain : There are many over-the-counter pain relievers. By the end of the semester, you have a tremendous headache and are looking for the most effective pain relief available. You conduct a study comparing the three most popular pain relievers and a placebo to see which work best. You use only subjects with headaches and record the amount of time (in minutes) it takes for their headache to go away after they receive the medication. You randomly assign 60 participants to one of the four conditions using a double- + blind procedure. (Use a = Placebo 70 Drug A 30 Drug B 10 Drug C 10 30 60 40 20 50 40 10 10 60 30 40 10 10 40 30 30 30 30 30 10 40 20 20 20 60 40 20 30 50 30 30 10 30 30 20 20 60 20 10 10 20 40 20 30 20 50 20 10 40 20 30 30 State the hypotheses Critical value and df Test statistic
A. Headache Pain : There are many over-the-counter pain relievers. By the end of the semester, you have a tremendous headache and are looking for the most effective pain relief available. You conduct a study comparing the three most popular pain relievers and a placebo to see which work best. You use only subjects with headaches and record the amount of time (in minutes) it takes for their headache to go away after they receive the medication. You randomly assign 60 participants to one of the four conditions using a double- blind procedure. (Use a = .05) Drug A Drug C 10 Placebo Drug B 10 70 30 30 60 40 20 50 40 10 10 60 30 10 10 40 40 30 30 30 30 30 10 40 20 20 20 60 40 20 30 50 30 30 10 30 30 20 20 60 20 10 10 20 40 30 20 50 20 20 10 40 20 30 30 IV (or predictor) variable DV (or criterion) variable What type of analysis should you conduct to determine which method relieves headache pain most swiftly?
Westminster Financial has released a summary of investment package information from the past fiscal year. During this time, Westminster provided a choice among twelve pre-designed investment packages. Westminster classified the packages into three categories according to riskiness. We're interested in the possible relationship between the age of an investor and the riskiness of the investment package she chose. So, there are two variables under consideration: age of Westminster investor ("under 35", "35-49", or "50+") and riskiness of investment choice ("risky", "moderate/mixed", or "conservative"). The contingency table below gives a summary of the information released by Westminster regarding age and riskiness of investment package for a random sample of 150 investors. Each cell of the table contains three numbers: the first number is the observed cell frequency (fO); the second number is the expected cell frequency (fE) under the assumption that there is no relationship between the…
Government economic studies reveal that young adults, not middle-aged or older adults, are having the most difficult time in today’s economy. Although the nation’s labor market shows a decline in the unemployment rate, the percentage of young adults, ages 18 to 24, currently employed (54 percent) is at the lowest level since the government data collection began in 1948. If you were working for a national survey organization doing a general public survey of young adults and older adults, what topics and questions would you design into your survey to elaborate on this finding?
A healthcare provider monitors the number of CAT scans perfomed each month in each of its clinics. The most recent year of data for a particular clinics follows (the reported variable is the number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan): 2.31, 2.09, 2.36, 1.95, 1.98, 2.25, 2.16, 2.07, 1.88, 1.94, 1.97, 2.02. Find a two-sided 95% confidence interval for the standard deviation. What should you do to address any reservations about this confidence interval? Round your answers to two decimal places (e.g. 98.76).
A study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 600 adults participating in the Sleep Heart Health Study. Study participants were classified into four groups depending on the extent of their sleep-disordered breathing (none, mild, moderate, or severe). The counts of deaths over the course of the study are reported for each group in the following two-way table. Mild Severe 100 Death No Death Total None 40 100 140 40 100 140 Moderate 20 100 120 Total 200 400 600 100 200 We want to know whether the study findings give evidence of a significant difference of the number of deaths between the different groups. Set up the alternative hypothesis (H, : The distribution of the categorical variable is not as given by the null hypothesis (lack of fit) At least ones of the means is different from the others O The two categorical variables are dependent The distribution of the categorical variable is not…
A pharmaceutical company is testing the effectiveness of its vaccine across two different age brackets. They take a sample and split the participants up into two separate groups. Group A consists of 44 people who are between ages 13 and 18. Group B consists of 58 people between ages 19 and 26. After being administered the vaccine, it was found that 37 people from group A were immune to the virus and 42 people from group B were immune. What proportion of people from Group A were immune? What proportion of people from Group B were immune? What proportion of people in this study were immune?
A study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 600 adults participating in the Sleep Heart Health Study. Study participants were classified into four groups depending on the extent of their sleep-disordered breathing (none, mild, moderate, or severe). The counts of deaths over the course of the study are reported for each group in the following two-way table. Death No Death Total None 40 100 140 Mild 40 100 140 Moderate 20 100 120 Severe 100 100 200 Total 200 400 600 We want to know whether the study findings give evidence of a significant difference of the number of deaths between the different groups. The observed test statistic is 3.610 42.857 5.476 8.075
At an assembly plant, workers assemble parts for a piece of farm equipment. The supervisor conducted an experiment to compare the effectiveness of three assembly methods, A, B, and C. Eighteen employees were randomly assigned, six employees each, to one of the three methods. After completing their training, each person was asked to assemble five pieces of equipment using his or her training method. The average time to complete the assembly of all five pieces of equipment was recorded. (a) What type of study design is used? O independent groups design O repeated measures design O matched pairs design O randomized block design What are the experimental units in this study? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods O the average time to assemble five pieces of equipment (b) What are the treatments? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods the average time to assemble five pieces of…
A random survey of health issues, conducted by the Department of Public Health of the Commonwealth of Massachusetts, examined the results from the state's seven largest cities. These cities were selected on the basis of their diverse racial and ethnic populations. The percentage of adults with diabetes in each city in the survey is given in the following table. City Boston Worcester Springfield Lowell Fall River Lawrence NewBedford Adults withDiabetes (%) 4.2 5.2 9.1 5.7 8.1 7.9 6.3 Find the average percentage of adults with diabetes in these seven cities. (Round your answer to two decimal places.) %What is the standard deviation for these data? (Round your answer to two decimal places.) %
Among the literature on quitting smoking are data detailing the relative successfulness of people of different ages in quitting smoking. A study of 400 adults who began various smoking-cessation programs produced the data in the table below. In the table, each participant is classified according to two variables: length of their smoking cessation period ("Less than two weeks", "Between two weeks and one year", or "At least one year") and age ("21-34", or "35 and over"). In the table, "less than two weeks" means that the individual returned to smoking within two weeks of beginning the program; "between two weeks and one year" means that the individual lasted the first two weeks without smoking but retuned to smoking within a year; and "at least one year" means that the individual has not smoked for at least a year since beginning the program. The table is a contingency table whose cells contain the respective observed frequencies of classifications of the 400 smokers. In addition, three…
According to a report by the U.S. Environmental Protection Agency (EPA), containers and packaging generated about 34.6% of all municipal solid waste (MSW) in the country in a recent year. This was the largest category of such waste. The next highest group was nondurable goods, which accounted for 25.4 % of waste. This was followed by durable goods at 10.9%, yard trimmings/other at 13.4%, and food scraps at 15.7%. Suppose last year, one large midwestern U.S. city processed 303 (1,000 tons) of MSW broken down by waste type as follows: Waste Type Containers and Packaging Nondurable Goods Durable Goods Yard Trimmings/Other Food Scraps MSW (1,000 tons) 129 73 28 45 28 Determine if there is a significant difference between the distribution of municipal solid waste in this midwestern city and the distribution released by the EPA a. Specify the hypotheses. Ho HA b. Calculate the test statistic and p-value. Round intermediate calculations to AT LEAST 4 decimal places and final answers to 3…

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