An insurance company has three risk classes: low risk, medium risk, and high risk. You are given:i. Claims from the low-risk class have a gamma distribution with parameters a =2 and 0.I. Claims from the medium-risk class have a gamma distribution with parameters a = 3 and 0.iL. Claims from the high-risk class have a gamma distribution with parameters a =iv. Three claims from the low-risk class are observed and they are of sizes 50, 55, and 70.a%3D4 and 0.v. One claim from the medium-risk class is observed and it is of size 100.vi. One claim from the high-risk class is observed and it is of size 200.Calculate the maximum likelihood estimate of 8.31B.3335D3739

Answered: Image /qna-images/answer/811c16d7-ae3a-40a1-8443-14e4cb9dae02.jpg

Answered: An insurance company has three risk…

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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Serum estradiol is an important risk factor for breast cancer in postmenopausal women. To better understand the etiology of breast cancer, serum-estradiol samples were collected from 25 premenopausal women (at about the same time period of the menstrual cycle) of whom 10 were Caucasian and 15 were African American. The data are shown in Table 7.3. The distribution of serum estradiol is usually highly skewed (especially for premenopausal women), and we are reluctant to assume normality. Table 7.3 Serum estradiol and ethnicity in 25 premenopausal women, where 0=Caucasian and 1=African-American ID Serum_estradiol Ethic 1 94 0 2 54 1 3 31 0 4 21 1 5 46 1 6 56 0 7 18 1 8 19 1 9 12 1 10 14 0 11 25 0 12 35 1 13 22 1 14 71 0 15 43 1 16 35 1 17 42 1 18 50 1 19 44 1 20 41 0 21 28 0 22 65 0 23 31 0 24…
(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table: Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. What type of hypothesis test will allow us to reach a conclusion in the situation posed above? A. Variance test B. Unilateral for difference in proportions C. Bilateral for average difference D. Unilateral for change in effectiveness
One of the assumptions underlying the theory of control charting is that successive plotted points are independent of one another. Each plotted point can signal either that a manufacturing process is operating correctly or that there is some sort of malfunction. Even when a process is running correctly, there is a small probability that a particular point will signal a problem with the process. Suppose that this probability is 0.04. What is the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly? (Round your answer to three decimal places.) What is the probability that at least one of 40 successive points indicates a problem when in fact the process is operating correctly? (Round your answer to three decimal places.)
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 25 adult Americans and asks them whether or not support the proposed changes . To say that the distribution of the sample proportion of adults who respond yes, is approximately normal , how many more adult Americans does the researcher need to sample in the following cases? (a) 15% of all adult Americans support the changes (b) 20% of all adult Americans support the changes
A restaurant manager is planning a new layout for the tables in his store. He will be placing tables of 2, tables of 4, and tables of 6 throughout the dining room. To help him decide how many of each he needs, he decides to keep track of all table requests by customers during a 2-week period. Which measure of central tendency would BEST indicate the typical table size needed?
Course: StatisticsIn a study conducted, 3,000 people were surveyed, of which 2,400 work more than 40 hours a week and of these, it has been established that 70% suffer from some sleep disorder, while of those who work less than 40 hours, ONLY 35% suffer from some disorder. According to these data, it is correct to state that:I. 1,890 of respondents suffer from sleep disorders.II. 390 people are those who work less than 40 hours a week and do NOT suffer from sleep disorders.III. 37% of the people studied do NOT suffer from sleep disorders.Select one:a. Only Ib. Only IIc. Only IIId. I and IIIe. I, II and III
The accompanying data are x = advertising share and y = market share for a particular brand of soft drink during 10 randomly selected years. x 0.104 0.072 0.072 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.137 0.127 0.120 0.086 0.079 0.076 0.065 0.059 0.051 0.039 b)Calculate the equation of the estimated regression line. (Round your answers to four decimal places.) d)Calculate a point estimate of ?e. (Round your answer to five decimal places.)
Each of the boxplots shown summarizes 24 student scores on a recent test in two different classes. The boxplots are drawn using a common numerical scale. Which of the following must be true? 1. The lower 25% of Class B are much more spread out than the lower 25% of Class A 2. More people scored below the lower quartile for Class A than Class B 3. The distribution for Class B is skewed left and has a noticeable outlier as well, while the distribution for Class A is somewhat skewed right 4.Class A had more people between the median and the lower quartile than Class B. 3.The distribution for Class A is somewhat symmetric, while the distribution for Class B is skewed right with a noticeable outlier as well
Serum estradiol is an important risk factor for breast cancer in postmenopausal women. To better understand the etiology of breast cancer, serum-estradiol samples were collected from 25 premenopausal women (at about the same time period of the menstrual cycle) of whom 10 were Caucasian and 15 were African American. The data are shown in Table 7.3. The distribution of serum estradiol is usually highly skewed (especially for premenopausal women), and we are reluctant to assume normality. Table 7.3 Serum estradiol and ethnicity in 25 premenopausal women, where 0=Caucasian and 1=African-American. ID Serum_estradiol Ethic 1 94 0 2 54 1 3 31 0 4 21 1 5 46 1 6 56 0 7 18 1 8 19 1 9 12 1 10 14 0 11 25 0 12 35 1 13 22 1 14 71 0 15 43 1 16 35 1 17 42 1 18 50 1 19 44 1 20 41 0 21 28 0 22 65 0 23 31 0 24…
Use the following scenario to answer the next 6 questions: M&Ms are your favorite vending machine snack and you purchase them often. Lately, it seems like the bags have been having a disproportionate distribution of the colors. The company claims that 24% of the candies per bag should be blue. You decide to test this claim for yourself. You purchase a large bag and find that 38 of the 224 candies are blue. Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test. Do you have sufficient evidence that the color distribution is different than advertised? In this scenario, the decision to use a two-tailed versus a one-tailed test affected our ability to reject the null (and thus our conclusion). Group of answer choices True False
Use the following scenario to answer the next 6 questions: M&Ms are your favorite vending machine snack and you purchase them often. Lately, it seems like the bags have been having a disproportionate distribution of the colors. The company claims that 24% of the candies per bag should be blue. You decide to test this claim for yourself. You purchase a large bag and find that 38 of the 224 candies are blue. Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test. Do you have sufficient evidence that the color distribution is different than advertised? Based on the data, the value of the test statistic is:

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