Q2. Product-Limit estimation is applied to estimate the survival function for a set of lifetimedata in the XJTLU Insurance company. There are 50 lives under observation at time 0. Thedeath and right censoring experience is as follows:TimeDeaths12 3 4 5 64 86 6 8 6Right-Censorings 2 0 4 4 2Find the estimated mean time until death from time 0.

Given the data of 50 lives under observation at time 0. The death and right censoring experience is…

Answered: Q 2. Product-Limit estimation is…

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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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 50 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 ? = 7.20 ml/kg for the distribution of blood plasma.
5.) (10 pts) The following graphs show survival in the U.S. from 1900 (left-most curve) to 2020 (right-most curve) in 10-year intervals. Estimate the median lifespan in (a) 1900 (b) 1940, and (c) 2020. 100 90 Percent Surviving 70 60 50 40 30 10 882882820° 2020 1900 0 228288 28 28 2 2 Age
Suppose that replacement times for washing machines are normally distributed with a mean of μ= 8.7 years and a standard deviation of σ= 1.6 years. Find and graph P25 the replacement time that separates the bottom 25% from the top 75%.
Suppose that three drugs used to reduce cholesterol are compared in a randomized experiment in which three people use each drug for a month. The data for the reductions in cholesterol level for the N = 9 participants follow. Drug 1 Drug 2 Drug 3 6 10 4 14 12 2 9 6 Calculate the F-statistic for comparing the mean cholesterol reductions for the three drugs. What is the value of F? (report to 2 decimal places) What are the degrees of freedom for this statistic - Between df? ,Within df?
Consider the scenario ai from the previous question. Suppose you take an SRS of 50 avocados and find that the mean is 1.1 inches, which yields a p-value of 0.0542. What conclusion would you draw at the =0.05 level? At the =0.10level?
6. True or False? Assume the below life table was constructed from following individuals who were diagnosed with slow-progressing form of prostate cancer and decided not to receive treatment of any form. The calculated survival probability for year 3, if the Kaplan-Meir approach is used to calculate the survival probability, is approximately 0.7438. Time in years Number at risk Nt Number of deaths, Dt Number of censored Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1
(On inequal time interval) Obtain the straightline trend equation for the following data by the method of least square. Year : 1989 1991 1992 1993 1994 1995 1998 Sales (in '000 Rs.) : 140 144 160 152 168 176 180 Also, estimate the sales for 1996
3. Show your complete solution.
6. Interval estimation when o is unknown (the data “Alcohol" is provided) Consumption of alcoholic beverages by young women of drinking age has been increas- ing in the United Kingdom, the United States, and Europe (The Wall Street Journal, Feb- ruary 15, 2006). Data (annual consumption in liters) consistent with the findings reported in The Wall Street Journal article are shown for a sample of 20 European young women. 266 82 199 174 97 170 222 115 130 169 164 102 113 171 93 93 110 130 Assuming the population is roughly symmetric, construct a 95% confidence interval for the mean annual consumption of alcoholic beverages by European young women.
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 20 days and a standard deviation of 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible.
Iron-deficiency anemia is an important nutritional healthproblem in the United States. A dietary assessment wasperformed on 51 boys 9 to 11 years of age whose familieswere below the poverty level. The mean daily iron intakeamong these boys was found to be 12.50 mg with standarddeviation 4.75 mg. Suppose the mean daily iron intakeamong a large population of 9- to 11-year-old boys fromall income strata is 14.44 mg. We want to test whether themean iron intake among the low-income group is differentfrom that of the general population. Problem a) State the hypotheses that we can use to considerthis question.Problem b) Carry out the hypothesis test in Problem a using the critical-value method with an α level of 0.05, and summarize your findings. Problem c) What is the p-value for the test conducted in Problem b?
2

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