(В)Discrete uniform(C)Poisson(D)Binomial(E)Either Poisson or BinomialYou are given:(i)Low-hazard risks have an exponential claim size distribution with mean 0.(ii)Medium-hazard risks have an exponential claim size distribution with mean 20 .(iii)High-hazard risks have an exponential claim size distribution with mean 30 .(iv)No claims from low-hazard risks are observed.(v)Three claims from medium-hazard risks are observed, of sizes 1, 2 and 3.(vi)One claim from a high-hazard risk is observed, of size 15.Determine the maximum likelihood estimate of 0.(A)1(В)2(C)(D)4(E)You are given:(i)= pure premium calculated from partially credible dataX partial(ii)µ = E[%3Dpartial

Answered: Image /qna-images/answer/2ebc348e-be99-42e5-aed4-84c72cdec82b.jpg

Answered: You are given: i) Low-hazard risks have…

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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ata Set 12 “Passive and Active Smoke” in Appendix B includes cotinine levels measured in a group of nonsmokers exposed to tobacco smoke (n = 40, Mean = 60.58 ng>mL, s = 138.08 ng>mL) and a group of nonsmokers not exposed to tobacco smoke (n = 40, Mean = 16.35 ng>mL, s = 62.53 ng>mL). Cotinine is a metabolite of nicotine, meaning that when nicotine is absorbed by the body, cotinine is produced. Use a 0.05 significance level to test the claim that nonsmokers exposed to tobacco smoke have a higher mean cotinine level than nonsmokers not exposed to tobacco smoke. 1. Find the degrees of freedom using the conversative estimate formula. What is it? 2. Find the critical value. What is it? 3. Sketch a normal distribution curve and highlight the region of significance.
Data are collected in an experiment designed to in- vestigate the impact of different positions of the mother during ultrasound on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study includes 20 women who are as- signed to one position and have the fetal heart rate measured in that position. Each woman is between 28 weeks and 32 weeks gestation. The data are shown in Table 7–7. Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance. back side sitting standing 140 141 144 147 144 143 145 145 146 145 147 148 141 144 148 149 139 136 144 145
1. (30 Points) Consider the following table where the production quantity of a welding process is presented for different pressure levels (low, medium, and high). By using 5% significance level, test whether the pressure level has an impact on the average production amount. Explicitly show all of your computations and clearly demonstrate how you reach your conclusion. Low Medium High 31 35 25 25 32 34 33 33 35 41 30 33 32 37 39
6. Consider a coffee shop that uses a single-server queue. The inter-arrival time is exponentially distributed with a mean of 10 minutes and the service time is also exponentially distributed with a mean of 8 minutes. Calculate the: (i) mean wait in the queue (2) (ii) mean number in the queue (2) (iii) the mean wait in the system (2) (iv) mean number in the system (2) (v) proportion of time the server is idle. (2) [10] 7. The arrival of customers at a bank follows a Poisson distribution with a mean arrival rate of 10 customers per hour. The service time at the bank follows an exponential distribution with a mean service rate of 6 minutes per customer. Calculate the average number of customers in the system (including those being served and waiting) and the average time a customer spends in the system. How is the system performing? [8]
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 42 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,056 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,056 lb42=168 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 178.3 lb and a standard deviation of 36.8.
From reviewing the temperature data for one of the regions of Iraq for a period of time, it was found that 15% of the days of the month of July (the number of days is 31) have a maximum temperature of more than 42 degrees Celsius and that 5% of the days of July have a temperature of less than 36 degrees Celsius. If you know that the temperature for the month of July in this region is subject to a normal distribution, then the mean and standard deviation S for this distribution are equal to:
Data originally from DASL http://lib.stat.cmu.edu/DASL/Datafiles/CancerSurvival.html (Links to an external site.). Some bronchial cancer patients had the following survival times (in days) after receiving a certain treatment: 20, 37, 63, 64, 72, 81, 138, 151, 155, 166, 166, 223, 245, 246, 450, 459. (The second instance of “166” is not a mistake.) Do these numbers suggest that the average survival time, for all bronchial cancer patients who receive that treatment, is significantly different from 200 days? CANCER SURVIVAL Report an appropriate one-sample hypothesis test and use a 10% significance level. For Step 4 of the six-step process that was taught in this class, choose the BEST option to complete the following sentence: We assume that the sample of subjects is a SRS and we assume that the population of observations has no outliers ... and is Normally distributed. and is without a doubt bell-shaped. and is Uniformly distributed. (nothing needs to go here because the sample…
. A process that cuts lengths of metal with high precision has historically produced metal rods with length that is normally distributed and with a mean of 800 millimetres (mm). Management at the factory is concerned that after an overhaul of the machine the mean length of the rods being produced could differ from the required 800 mm. If it is found that the rods are not being produced to specifications then the machine will have to be stopped for readjustment, with a consequent loss of production. The production line manager tasked with investigating the issue finds that a (random) sample of 25 rods yielded a mean length of 806 mm and a sample standard deviation of 10 mm. i. The mean of the sample is clearly not the required 800 mm. Say why this is not enough information in itself to say if the machine is operating correctly or not. ii. State the null and alternative hypotheses for this situation.
Data originally from DASL http://lib.stat.cmu.edu/DASL/Datafiles/CancerSurvival.html (Links to an external site.). Some bronchial cancer patients had the following survival times (in days) after receiving a certain treatment: 20, 37, 63, 64, 72, 81, 138, 151, 155, 166, 166, 223, 245, 246, 450, 459. (The second instance of “166” is not a mistake.) Do these numbers suggest that the average survival time, for all bronchial cancer patients who receive that treatment, is significantly different from 200 days? CANCER SURVIVAL Report an appropriate one-sample hypothesis test and use a 10% significance level. For Step 5 of the six-step process that was taught in this class, which would be the appropriate procedure and why? Choose the correct option. Group of answer choices We would do a t-procedure because we have the standard deviation. We would do a t-procedure because the sample size is large. We would do a t-procedure because we do not have the population standard deviation and…
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
Case scenario: A cohort study involved an assessment of the relationship between cigarette smoking and incuof lung cancer. For cigarette smokers, the lung cancer incidence rate was Iexp = 200 per 100,000. For nonsmokers, the lung cancer incidence rate was Iunexp = 25 per 100,000. The lung cancer incidence rate in the entire population was Itotal = 100 per 100,000. A) what is the relative risk (risk ratio) of developing lung cancer? Interpret this value in plain language? B) calculate the attributable risk and interpret this value in plain language? C) calculate the attributable-risk percent and interpret this value in plain language? D) is cigarette smoking a risk factor for lung cancer? Explain your answer. E) Hypothetically speaking, if cigarette smoking could be eliminated from this population, what percentage of lung cancer could be avoided?

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