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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Cardiovascular Disease Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men in 2000. To look at changes in incidence over time, 5000 men in this age group were followed for 1 year starting in 2010. Fifteen new cases of MI were found. Suppose that 25% of patients with Mi in 2000 died within 24 hours. This propartion is called the 24-hour case-fatality rate. Of the 15 new MI cases in the preceding study. 5 died within 24 hours. Test whether the 24-hour case- fatality rate changed from 2000 to 2010.
A 2019 study surveyed Norwegian parents about their children's eating habits and taste sensitivities. We are interested in seeing if there is a relationship between sensitivity to sweetness and emotional overeating. The study reports an F* = 2.72 with df = 2 and dfw = 39. How many levels of 'sensitivity to sweetness' were used in the study? How many subjects participated in the entire study? Add Work
Leo used an analog sensor to measure the temperature of his solar panels. After the experiment, he wants to process the data he obtained. Is he allowed to describe the data by using the measures of central tendency? No, because the data he gathered is qualitative in nature. Yes, because the data he gathered is quantitative in nature. No, because the data the gathered is quantitative in nature. Yes, because the data he gathered is qualitative in nature.
An individual’s income varies with his or her age. The following table shows the median income I of males of different age groups within the United States for 2012. For each age group, let the class midpoint represent theindependent variable, x. For the class “65 years and older,” we will assume that the class midpoint is 69.5. (a) Use a graphing utility to draw a scatter diagram of thedata. Comment on the type of relation that may existbetween the two variables.(b) Use a graphing utility to find the quadratic function ofbest fit that models the relation between age and medianincome.(c) Use the function found in part (b) to determine the age atwhich an individual can expect to earn the most income.(d) Use the function found in part (b) to predict the peakincome earned.(e) With a graphing utility, graph the quadratic function ofbest fit on the scatter diagram.
t has been suggested that gossiping about others may affect how likeable you are. Two groups of participants are asked to read a vignette describing a fictional person. They are then asked to rate how much they would like the person described in the vignette on a continuous scale from 1-15, where higher scores represent a higher likability. The first group of participants (n=20) reads a vignette describing a person that frequently gossips and obtains an average likability score of (M1) with a variance of (S12). The second group of different participants (n=20) reads a vignette describing a person that never gossips and obtains an average likability score of (M2) with a variance of (S22). Given that there is not much research in this area, test the hypothesis that gossiping impacts likability at an alpha=0.05. 1, Are the results you obtained meaningful? report the results here for your effect size showing all your work and your interpretation 2. Report the results of the study…
Data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 46 wines, a model was created using the percentages of aloohol to predict wine quality Y-0.337 +0.5635X,, where X, in the alcohol content (%) and Y, is the rated quality of the wine. For these data, Syx 0.9316, X 10.63, and h 0.027260 when X 10. Complete parta (a) throi a. Construct a 05% confidence interval estimate of the mean wine quality rating for all wines that have 10% alcohol. 4.988 spypx= 10 s 5.608 (Type integers or decimals. Round to three decimal places as needed. Use ascending order) b. Construct a 95% prediction interval of the wine quality rating of an individual wine that has 10% alcohol. (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
For 30 recent Academy Award ceremonies, ages of Best Supporting Actors (x) and ages of Best Supporting Actresses (y) are recorded. The 30 paired ages yield x = 52.1 years, y = 37.3 years, r = 0.076, P-value = 0.691, and yn = 34.4 + 0.0547x. Find the best predicted value of yn (age of Best Supporting Actress) in 1982, when the age of the Best Supporting Actor (x) was 46 years.
A researcher collects data from 65 people to see if there is a relation between anxiety and memory in high school students. The researcher finds the following descriptive statistics: Xbar= 25.5, sX = 4.3, Ybar = 15.6, sY = 3.2, SSX = 198.4, SSY = 1152.3, and SP = 220.4. Test for a significant relation at α =0.05.
Lecture(8.8): The amount of time people engage in physical activity mat be related to health outcome. Those who report that they spend more than 15 hours are put into one while those who spend less 10 were put into another group. (Those who fall in between 10 and 15 were left out of the study); The reaearcher then ask the participants to wear a monitor for one month. The average time in minutes is recorded and shown below . Is there any evidence that on average people who watch less than 10 hours watching televsion spend more time on physical activity.?. Test the hypotheses at (alpha=0.05) using the 5 step procedure <10 hours 75 63 118 35 82 >15 hours 62 6 78 43 22 33
An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 8 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 8 differences (Variety A - Variety B) give x¯=3.07 and s=5.11. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)H0 : Ha : (b) Find the test statistic, t = 7,6
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