Problem #1: A sample of 122 hypertensive people were given an anti-hypertensive drug, and the drug was found to be effectivein 52 of those people. (By effective, we mean that their diastolic blood pressure is lowered by at least 10 mm Hgas judged from a repeat measurement taken 1 month after taking the drug.)Problem #1(a):Problem 1(b):Problem #1(c):(a) Find a 90% confidence interval for the true proportion of the sampled population for which the drug iseffective.(b) Using the results from the above mentioned survey, how many people should be sampled to estimate the trueproportion of hypertensive people for which the drug is effective to within 3% with 95% confidence?(c) If no previous estimate of the sample proportion is available, how large of a sample should be used in (b)?confidence intervalenter your answer in the form a,b.(numbers correct to 3 decimals)How many should be sampled?How many should be sampled?

Given information: The sample size; n=122, and the number of people the drug was found effective is…

Answered: Problem #1: A sample of 122…

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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Problem 1: The regression below relates earnings to years of experience for a sample of 30 working adults. wage = 15.6 + 1.4*exp Predictor Coef SE Coef T Constant 15.6 2.38 6.55 Exp 1.40 .60 2.33 where wage equals hourly wage rate ($/hour) and exp equals years of work experience a)According to the above regression results, by how much does a year of experience increase the hourly wage rate? b)For a = .05, test the hypothesis that increases in experience are associated with increases in earnings. Clearly state the null and alternative hypotheses, show all relevant statistics for performing the test, and report the conclusion of your test. c)For a = .05 test the hypothesis that a 1year increase in experience increases the wage rate by more than $1/hour. Clearly state the null and alternative hypotheses, show all relevant statistics for performing the test, and report the conclusion of your test. d)…
Problem 4
Problem 3. Suppose a test for detecting a certain rare disease has been perfected that is capable of discovering the disease in 97% of all afflicted individuals. Suppose further that when it is tried on healthy individuals, 5% of them are incorrectly diagnosed as having the disease. Finally, suppose that when it is tried on individuals who have certain other milder diseases, 10% of them are incorrectly diagnosed. It is known that the percentages of individuals of the three types being considered here in the populations at large are 1%, 96%, and 3%, respectively. Calculate the probability that an individual, selected at random from the population at large and tested for the rare disease, actually has the disease if the test indicates he is so afflicted.
Problem 5.2.: The daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Please Refer to Problem 5.2.: Question: The decision rule to be used at α=5% is: “Reject Ho of tc > ttab = 66, otherwise fail to reject Ho.”
Problem 10.4. Source: Sample STAM Problem #280. A compound Poisson claim distribution has the parameter A equal to 5 and individual claim amounts X distributed as follows: px (5) 0.6 and px (9) = 0.4. What is the expected cost of an aggregate stop-loss insurance subject to a deductible of 5? =
Question 5 Germination of a seed commences with the uptake of water and is completed with the appearance of the embryo, in most species radical first, through the surrounding structures. Table 1 gives data regarding germination rates for treated and untreated seeds. (a) At 1% significance level, is the germination rate the same for the treated and the untreated seed? (b) Table 1: Germination rates for treated and untreated seeds Germinated Not Germinated 15 30 85 120 (c) Treated Untreated State a suitable null and alternative hypotheses for the problem. Test the hypotheses in part (a) by using x² test. Write your conclusion.
Problem #6: An observational study of Alzheimer's disease (AD) obtained data from 14 AD patients exhibiting moderate dementia and selected a group of 10 control individuals without AD. AD is a progressive neurodegenerative disease of the elderly and advancing age is known to be a primary risk factor in AD diagnosis. Therefore, it was crucial for the study's credibility to examine whether the ages in the AD group might be significantly different than in the control group. The ages of the subjects in years are summarized in the R Output below. Variable Mean 72.68 sd Minimum Q1 Median Q3 Maximum Alzheimers 14 6.59 77.00 79.25 87.00 92.25 93.00 Control 10 65.56 12.99 54.00 56.00 65.00 82.00 89.00 We want to test if the average age in the Alzheimer's group is significantly different than the control group. (a) What is the null hypothesis? (b) Find the value of the test statistic. (c) Find the 5% critical value. (d) What is the conclusion of the hypothesis test? (A) Ho : 41 2 42 (B) Họ : 41…
Another question related to it as well: what if B1 is 0.1?
Problem 2. An article in Fire Technology investigated two different foam-expanding agents that can be used in the nozzles of fire-refighting spray equipment. A random sample of five observations with an aqueous film-forming foam (AFFF) had a sample mean of 4.1 and a standard deviation of 0.6. A random sample of five observations with alcohol-type concentrates (ATC) had a sample mean of 6.6 and a standard deviation 0.8. a. Can you draw any conclusions about differences in mean foam expansion? Use a=0.05. Assume that both populations are well represented by normal distributions with the same standard deviations. Find the value of the test statistic. Suppose that the null hypothesis is H: µ -4=A, =0. What is your conclusion about differences in mean foam expansion? b. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.
Question 2: A risk averse agent, whose utility is given by u(a) = In(x) and his wealth is 50, 000 is faced with a potential loss of 10,000 with a probability of p = 0.1. What is the maximum premium he would be willing to pay to protect himself against this loss?
Problem 34.12 The length of time X (in minutes) it takes to go from your home to donwtown is normally distributed with µ the latest time that you should leave home if you want to be over 99% sure of arriving in time for a job interview taking place in downtown at 2pm? 30 minutes and ox 5 minutes. What is
Answer Problem #4 only.

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