A mortality study consists of 10 individuals. Deaths are recorded at the following times (in years):3 5 9 14 14 16 17 22 28 36Time until death is fitted to an exponential distribution with mean 0 using maximum likelihood.Ô, is the maximum likelihood estimate of Ø had the study been terminated after 10 years.Ôz is the maximum likelihood estimate of O had the study been terminated after 15 years.Ôz is the maximum likelihood estimate of 0 had the study been terminated after 20 years.Rank the maximum likelihood estimates of 0 in ascending order.ô, < ôg < ô,Aê, < ô, < ô2c) ô, < ô, < ô,n, < ôg < ô,Dô, < ôg < ô,

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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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In a field test, 30 units have been tested for 125 hours each with the following failure times. In the event of a failure, the unit was repaired and the test continued. [Hint: use the exponential distribution] 10, 26, 31, 55, 75, 90, 120 What is the failure rate of the units based on this information? Write the Reliability function. What is the survival probability of the units at time 50 and time 100? Sketch the hazard plot based on the assumptions made. Solve for t at R(t)=0.90?
In a certain country, 47 percent of the population are on a strict diet. In a sample of 130 individuals, find the expected value and the variance for the number of individuals who are on a strict diet. Şelect one: O a. 56.4 and 29.89 O b. 70.5 and 37.37 O c. 56.4 and 32.38 O d. 61.1 and 34.87. O e. 61.1 and 32.38 Of. 65.8 and 37.37 O g. 65.8 and 34.87 O h. 70.5 and 29.89
The sampling distribution of a statistic is (select the best answer): The mechanism that determines whether the random sampling was effective. A normal curve, for which probabilities are obtained by standardizing. A distribution of all parameters from the population that is to be randomly sampled. A distribution of a single statistic from repeated random samples of the same size, from the same population. A distribution of all possible summary statistics from a single random sample, from the same population.
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
Samples of size n- 9 are selected from a normal population withp -80with o- 18. What is the standard error for the distribution of sample means? OM-5 OM- 18 O M- 6 0 0
Storm damage can occur to homes in any given year, with the amount of damage varying randomly from year to year. Let X represent the dollar value of storm damage in a given year. It is known that in 95% of the years, X = $0, while in 5% of the years, X = $20,000. What is the expected value and standard deviation of the damage in any given year?
A population consists of the following 8 values: 1 2 2 3 5 6 8 9 A SRS without replacement of size 4 will be taken from the population. Let �¯ denote the mean of the sample. The mean of the population is μ = 4.5 and the standard deviation is σ = 2.784. What is the expected value of the sample mean, or the mean of �¯? 4,4.5 8, 2.874 Which one of the following is a possible value of �¯? 8, 1.5 , 7, 1
Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. A. Ho: H1= H2 H1: H1> H2 B. Ho: H1 H2 c. Hoi H1= H2 H1: H1
10. For a particular population, a sample of n= 4 scores has an expected value of 10. For the same population, a sample of n=25 scores would have an expected value of
For a normal population with µ = 60 and σ = 50, the distribution of sample means based on n = 25 will have an expected value of ____ and a standard error of ____
Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 15 7 7 13 13 20 13 12 5 10 26 22 13 7 11 3 The sample mean is x = 12.3%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and σ = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use α = 0.01. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

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