5. A group of doctors are conducting a clinical trial for an experimental cancer drug. The graph below shows theprobability of patient survival as a function of time, t (in months). The functions for Streated (survival probabilityof patients treated by the drug) and Splacebo (survival probability of patients given a placebo) are determined tobe: Streated(t) = e-() and Splacebo (t) = e #.Use the given function(a)Splacebo (t) = e-i to calculatethe average survival probability ofthe placebo group for the first 10months of the study. Round to 2decimal places.Ste0.-0.6-0:4-021020(b)The efficacy of the drug at any time 7 >0 can be defined as E(7) = (Streated(t) – Splacebo (t)) dt.Note: This can be thought of as representing a difference of areas.Use a Riemann sum with 5 sub-intervals of equal width to approximate E(10). Use right endpoints. Roundyour final answer to 2 decimal places.(c)the first 7 months). Is the drug beneficial at 10 months? (A short one-sentence answer is enough.)A drug is beneficial if E(7) > 0 (meaning treated subjects have a larger average survival time over(d)Is the drug beneficial at T = 20? Explain in 1 or 2sentences.Survival probability

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Answered: 5. A group of doctors are conducting a…

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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For the 17 girls whoreceived the family therapy, the changes in weight duringthe study (which are in the data file Anorexia at the textwebsite) were11, 11, 6, 9, 14,−3, 0, 7, 22,−5,−4, 13, 13, 9, 4, 6, 11.(a) Verify that ¯y = 7.29, s = 7.18, and se = 1.74.(b) To use the t distribution, explain why df = 16 and a95% confidence interval uses the t-score of 2.120.(c) Verify that the 95% confidence interval for the populationmean change in weight μ for this therapy is (3.6,11.0). Interpret.
This cardiologist gets a report on his patients' sugar consumption from the nutritionist. He becomes concerned that his patients seem to consume even more sugar that what is in a typical American diet. He decides to take a random sample of 100 of his patients and calculate the mean sugar consumption, x̅, of these 100 patients. The mean sugar consumption for these 100 patients is 17.3 teaspoons. Let's assume, for the moment, that his patients are no different than the general population of Americans with µ (daily sugar consumption) = 16.1 teaspoons and σ = 3.5 teaspoons and that his sample of 100 patients is one random sample from this population. What is the probability of obtaining a mean sugar consumption of 17.3 teaspoons (or more) in his sample of 100 patients if his patients are similar to the general population? What is the probability that the average (x̅) is greater than 17.3?
(5.) As mobile phones continue to proliferate, more and more people will watch video content on their phones. In a study released in 2013, the number of mobile phone video viewers in the UK in year t from 2011 through 2017 (so t = 0 to t = 6) will be P(t) = 13.86t0.535
A farmer in Indiana wants to examine the relation between the number of very hot days (days when the high temperature exceeds 95° F) and the corn production of his farm (in bushels of corn per acre). He looks at the data for 10 summers. Let x¡ = the number of hot days during the ith summer. %3D = the corn production (in bushels per acre) during the ih summer. Let yi The data are in the table below:. 4 6. 7 8. 9. 10 i 2 14 10 7. 8. 1 12 Xi Yi 95 80 83 87 88 85 99 102 79 95 a) Make a scatterplot of the data. b) Examine your scatterplot and, without performing any calculations, EXPLAIN whether you expect the correlation coefficient to be closer to -1, 0, or 1 and WHY. c) Find the sample mean and standard deviation for each variable. %3D %3D S. %3D y d) Place an asterisk on your scatterplot at the point (x,ỹ).
I need help with parts “c”, “d, and “e” thanks.
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 44 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that o = 7.40 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) O the distribution of volumes is uniform O the distribution of volumes is normal O o is unknown O n is large O o is known (c) Interpret your results in the context of this problem. O we are 99% confident that the true average blood…
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 43 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.80 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.10 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)male firefighters
Suppose you have four classifications: freshmen (f), sophomore (so), junior (j), and senior (se). You construct a dummy variable, one for each classification that takes on the value of (1) should that classification be true for that observation and 0 otherwise. Further assume that you estimate the following model: E[GPA]= .5*ACT+0*So+-0.42*J+{c}*Se How much higher/lower is a Junior's GPA, after controlling for ACT, than for the omitted category?
The population mean will always be the same as the mean of all possible X¯ that can be computed from samples of size 21.
A red maple sapling was 3 feet tall when planted in 2010. Six years later, the tree was 18 feet tall. The growth rate of the tree is constant over time. Find a linear model for the height H (in ft) of the red maple t years after 2010. Let t = 0 represent 2010. H = What is the expected height (in ft) of the red maple in 2020? ft
It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.50 6.25 6.75 7.50 8.00 y 6 15 14 52 58 Find ȳ. Group of answer choices –34.75 –17.40 34.75 29.00 17.40
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 44 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.40 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit ? upper limit ? margin of error ?

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