Philosophical and health issues are prompting an increasing number of Taiwanese toswitch to a vegetarian lifestyle. A study published in the Journal of Nutrition comparedthe daily intake of nutrients by vegetarians and omnivores living in Taiwan. Among thenutrients considered was protein. Too little protein stunts growth and interferes with allbodily functions; too much protein puts a strain on the kidneys, can cause diarrhea anddehydration, and can leach calcium from bones and teeth. Independent randomsamples of 51 female vegetarians and 53 female omnivores yielded the followingsummary statistics, in grams, on daily protein intake.Vegetarians: X₁ = 39.04, s₁ = 18.82, n₁ = 51Omnivores: X₂ = 49.92, S₂: 18.97, n₂ = 53a. Do the data provide sufficient evidence to conclude that the mean daily proteinintakes of female vegetarians and female omnivores differ? Perform the requiredhypothesis test at the 1% significance level. Assume equality of variances.b. Determine a 99% confidence interval for the difference between the mean dailyprotein intakes of female vegetarians and female omnivores.c. Interpret your answer in part (b).

Given Vegetarians x¯1=39.04s1=18.82n1=51 Omnivores x¯2=49.92s2=18.97n2=53 α=0.01 The population…

Answered: Philosophical and health issues are…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.
A study published in JAMA in 2004 examined past results of other studies on bariatric surgery. Bariatric surgery is done to replace the size of the stomach in various ways. It is typically used on only obese patients, and one the traditional form of the surgery, gastric bypass has a 1% mortality (death) rate caused by the surgery. However, in the studies reporting on the effects of this surgery on Type II diabetes, 1417 of 1846 diabetic patients recovered completely from diabetes after surgery. These patients no longer need medication like insulin (which is injected into the skin) or pills to help manage blood sugar. In a study released a decade later, the percentage of patients who recover from diabetes has increased to 80%. W will determine whether this is a significant change from the 2004 data. The sample size in 2014 was 2000. (a) What is the percentage of patients who recovered from diabetes in 2014? What is the number of patients in the sample that have recovered? (b) What…

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