1. Are anesthesiologists overworked and therefore putting patients at risk?This question was investigated as part of a survey carried out at theUniversity of Florida. The population of those practicing anethesiol-ogy was stratified into three groups: anethesiologists (composing approx-imately 70% of the population), anesthesiology residents (composing ap-proximately 10% of the population) and nurse anesthetists (composingapproximating 20% of the population). The frequencies of those in eachstratum who thought they had worked without a break beyond a safe limitsometime during the last 6 months are shown in the accompanying table:Frequency PercentageJob classificationBeyond safe limitAnesthesiologistNo41731.4Yes91368.6Anesthesiology residentNo2917.6Yes13682.4Nurse anesthetistNo24021.8Yes86078.2 (a) From the statement of the question, what are the (approximate) val-ues of N₁/N, N2/N and N3/N?(b) Was proportional allocation used in assigning sample sizes to thethree groups? Explain.

The concept used to solve this question involves understanding proportional allocation in stratified…

Answered: 1. Are anesthesiologists overworked and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher believes that there may be a negative association between the quantity of fertilizer used and the percentage of the population who live in rural areas in different countries. The data below shows the percentage of the population who live in rural areas and the fertilizer use measured in kg per hectare, for a random sample of 11 countries. 33%= 76kg, 6%=44kg, 58%= 6kg, 35%=68kg, 81%=3kg, 69%=10kg, 61%=7kg, 7%=176kg,74%=5kg, 71%=137kg, 17%=157kg Use the Spearman's rank order coefficient method to affirm or disagree with the researchers assumption.
This obstetrician also wanted to determine the impact that three experimental diets had on the birth weights of pregnant mothers. She was also interested if age had an impact on birth weights. She randomly selected 27 pregnant mothers in the first trimester of whom 9 were 20 to 29 years old, 9 were 30 to 39 years old, and 9 were 40 or older. For each age group, she randomly assigned the mothers to one of three diets. After delivery, she measured the birth weight (in grams) of the babies and obtained the data a) What is the blocking variable?
2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…
A doctor is studying the relationship between blood pressure and heartbeat abnormalities in her patients. She tests a random sample of her patients and notes their blood pressures (high, low, or normal) and their heartbeats (regular or irregular). She finds that: 14% have high blood pressure. • 22% have low blood pressure. 15% have an irregular heartbeat. • Of those with an irregular heartbeat, one-third have high blood pressure. • Of those with normal blood pressure, one-eighth have an irregular heartbeat. What portion of the patients selected have a regular heartbeat and low blood pressure? (0.2)
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?
2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…
A) We have just conducted a study examining how much math anxiety students experience after taking a statistics class. We want to know if students on average are reporting low (1) or high (7) levels of math anxiety. To do that, we want to compare the math anxiety levels of the students after they have taken a statistics course to the average population math anxiety. We believe that the students on average will have a level of math anxiety that differs from the population. X 3 4 4 5 5 3 1 3 5 6 7 2 2 3 2 3 2 3 1 3 Report our null and alternative hypotheses in words. Given the information we have, what specific t-test do we need to run in order to examine our hypothesis? Provided are the ratings from the students that we recruited (see left), the mean and standard deviation for that sample (see below), and the population average (see below): xbar =3.35, Meu=4.00 and SD=1.60…
2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…

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