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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 22E

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Suppose insurance agency services customers who have both a homeowner’s policy and an automobile policy. For each type of policy, a deductible amount must be specified. For an automobile policy, the choices are TZS100 and TZS250, whereas for a homeowner’s policy, the choices are 0, TZS100, and TZS200. Suppose also that an individual is selected at random from the agency’s files. Let X = his deductible amount on the auto policy and Y = his deductible amount on the homeowner’s policy (a) What are the possible (X, Y) pairs? (b) Suppose the joint probability mass function is given by the insurance company in the accompanying joint probability in the following Table Table: Discrete Joint Probability Distribution for X and Y P(x,y) 0 100 200 X 100 0.2 0.10 0.2 250 0.05 0.15 0.3 What is p (100, 100) What is P (Y greater than 100)?
Recent studies have shown that about 23% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 400 patients and find that 80 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 23%. Give a numerical value for each of the following concepts. (a) The population proportion, p, of obese patients in the medical clinic.p = (b) The proportion of obese patients, p̂, for the sample of 400 patients.p̂ = (c) The standard error, s.e., of p̂. (Round your answer to four decimal places.)s.e.(p̂) =
Recent studies have shown that about 16% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 500 patients and find that 60 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 16%. Give a numerical value for each of the following concepts. (a) The population proportion, p, of obese patients in the medical clinic.p = (b) The proportion of obese patients, p̂, for the sample of 500 patients.p̂ = (c) The standard error, s.e., of p̂. (Round your answer to four decimal places.)s.e.(p̂) = (d) The mean of the sampling distribution of p̂.mean = (e) The standard deviation, s.d., of the sampling distribution of p̂. (Round your answer to four decimal places.)s.d.(p̂) =
A researcher wants to find the effect of a special diet on systolic blood pressure. A sample of 7 adults was selected to start them on this diet for 3 months. Based on this information, can it be stated that systolic blood pressure changes with the special diet? Based on the findings of the test carried out, it is possible to conclude that...... A. systolic blood pressure does not change with special diet B. systolic blood pressure changes with special diet C. systolic blood pressure is lower with the special diet D. systolic blood pressure is higher with the special diet E. It is not possible to conclude anything regarding systolic blood pressure with the special diet
A drug company claims that an allergy medication causes headaches in 5% of those who take it. A medical researcher believes that more than 5% of those who take the drug actually get headaches. Identify the population. more than 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. 5% of those who take the drug actually get headaches. all individuals who take the medication.
Many companies want to target teenagers in advertisements by taking advantage of teenagers being glued to social media. But where to advertise to teens on Social Media? A popular brand among teens decided to target this demographic on two popular sites, YouTube and Instagram. A random samples of teenagers was selected and for each we recorded two things, whether or not they clicked on the advertisement and the social media platform. Given that YouTube seems to be less popular among this demographic, we speculated that the response rate would be lower for YouTube users compared to Instagram users. Population 1: all teenage YouTube users who clicked on the advertisement. Population 2: all teenage Instagram users who clicked on the advertisement. The significance level is set to 5%. The results of the study are summarized below. Social Media Site Sample size Number who clicked on ad 1 = YouTube 207 104 2 = Instagram 213 109 Read the following information and answer…
The past records of a supermarket show that its customers spend an averageof $95 per visit at this store. Recently the management of the store initiated a promotionalcampaign according to which each customer receives points based on the total moneyspent at the store, and these points can be used to buy products at the store. Themanagement expects that as a result of this campaign, the customers should beencouraged to spend more money at the store. To check whether this is true, the managerof the store took a sample of 14 customers who visited the store. The following data givethe money (in dollars) spent by these customers at this supermarket during their visits. 109 136 107 116 101 109 110 94 101 97 104 83 67 120Assume that the money spent by all customers at this supermarket has a normaldistribution. Using a 5% significance level, can you conclude that the mean amount ofmoney spent by all customers at this supermarket after the campaign was started is morethan $95?
Two drugs (A, B) are compared for the medical treatment of duodenal ulcer. For this purpose, patients are carefully matched with regard to age, gender, and clinical condition.The treatment results based on 200 matched pairs show that for 89 matched pairs both treatments are effective; for 90 matched pairs both treatments are ineffective; for 5 matched pairs drug A is effective, whereas drug B is ineffective; and for 16 matched pairs drug B is effective, whereas drug A is ineffective.*10.8 What test procedure can be used to assess the results?
The Incredible Edible Egg company recently found that eating eggs does not increase a person’s blood serum cholesterol. Fivehundred subjects participated in a study that lasted for 2 years. The participants were randomly assigned to either a no-egggroup or a moderate-egg group. The blood serum cholesterol levels were checked at the beginning and at the end of the study.Overall, the groups’ levels were not significantly different. The company reminds us that eating eggs is healthy if done inmoderation. Many of the previous studies relating eggs and high blood serum cholesterol jumped to improper conclusions.Using this information, answer these questions.1. What prompted the study?2. What is the population under study?3. Was a sample collected?4. What was the hypothesis?5. Were data collected?6. Were any statistical tests run?7. What was the conclusion?
A school Psychologist is interested in the effect of violent television programs on a child's agression depending on if the show is a cartoon or not. Eighty children were recruited and were divided into equal groups. Half of the children watched a violent television program while the other half watched a non- violent program. Half of the children watched a cartoon while the other half watched a show that was not a cartoon. The children were then placed in a small group and the researcher measured the level of agressiveness of each child. A) z- test B) t - test C) test independent samples D) T - TEST RELATED SAMPLES E) ANOVA F) FACTORIAL ANOVA G) repeated measures ANOVA H) pearson correlation i) chi square
A foreign car manufacturer advertises that its newest model, the Bullet, rarely stops at gas stations. In fact, they claimed that its EPA rating for highway driving is at least 32.5 mpg. However, the results of a recent independent study determined the mpg for 50 identical models of the Bullet, with these results: n = 50, x= 30.4 mpg, and s = 5.3 mpg.This report failed to offer any conclusion, and you have been asked to interpret these results by someone who has always felt that the 32.5 figure is too high. What would be your conclusion using a significance level of 5%?Z = 1.645
When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different blood specimens. If samples from four people are combined and the mixture tests negative, we know that all four individual samples are negative. Find the probability of a positive result for four samples combined into one mixture, assuming the probability of an individual blood sample testing positive for the virus is 0.04.