MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- In a survey of 1003 adults, a polling agency asked, "When you retire, do you think you will have enough money to live comfortably or not. Of the 1003 surveyed, 530 stated that they were worried about having enough money to live comfortably in retirement. Construct a 95% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. Click here to view the table of critical values of the chi-square distribution. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.) O A. There is a 95% probability that the true proportion of worried adults. between and O B. There is 95% confidence that the true proportion of worried adults is between and. OC. 95% of…arrow_forwardAccording to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.86. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). O A. The response is qualitative because the number of people satisfied can be counted. O B. The response is quantitative because the number of people satisfied can be counted. O C. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. YD. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. (b) Explain why the sample proportion, p, is a random variable. What is the source of the variability? The sample proportion p is a random variable because the value of p represents a random person included in the…arrow_forwardHigh school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge exam, students who score in the top 19 percent are recognized publicly for their achievement by the Department of Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be recognized?arrow_forward
- In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 77 of 125 urban residents favor the construction while only 56 of 100 suburban residents are in favor. Is there a significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant? Make use of a P-value. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Let urban residents correspond to population 1, let suburban residents correspond to population 2, and let a success be a resident who favors the construction of a nuclear power plant. Identify the null and alternative hypotheses. OA. Ho: P₁ P2 H₁: P₁ P2 D. Ho: P₁ P2 H₁: P₁ = P2 Find the test statistic. B. Ho: P₁ = P2 H₁: P₁ P2 E. Ho: P₁ = P2 H₁: P₁ P₂ (Round to two decimal places as needed.) C. Ho: P₁ P2 H₁: P₁ = P2 OF. Ho: P1 P2 H₁: P₁ = P2arrow_forwardIn a poll, 51% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 2%, and the estimate was made with 94% confidence. At least how many people were surveyed? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). The minimum number of surveyed people was (Round up to the nearest integer.)arrow_forwardAccording to a survey in a country, 32% of adults do not own a credit card. Suppose a simple random sample of 600 adults is obtained. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because n <0.05N and np(1 – p)< 10 GB. Approximately normal because n<0.05N and np(1 - p) 2 10 CC. Not normal because ns0.05N and np(1 - p) 2 10 D. Approximately normal because n<0.05N and np(1 - p)< 10 Determine the mean of the sampling distribution of p. (Round to two decimal places as needed.) p Enter your answer in the answer box and then click Check Answer. ? 6. parts remaining Clear All Check Answerarrow_forward
- According to a study conducted by an organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A raadom sample of 1,300 Americans results in 143 indicating that they are afraid to fly. Explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Select the correct choice below and, if necessary, fill in the answer box to coreplete your choice. O A. This is not necessarily evidence that the proportion of Americans wbn are afraid to fly has incrensed above 0.10 because the value of np(1-p) is less than 10. O B. This is not necessarily evidence that the proportion of Americans who are afraid to fly hassnrGAsed above 0.10 because the saaple proopation, (Type an integer or a decimal.) is very close to 0.10. C. This is not necessarily evidence that the proportion of ArmTicans who…arrow_forwardIn a survey of 1007 adults, a polling agency asked, "When you retire, do you think you will have enough money to live comfortably or not. Of the 1007 surveyed, 525 stated that they were worried about having enough money to live comfortably in retirement. Construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. Click here to view the table of critical values of the chi-square distribution. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.) O A. There is 90% confidence that the true proportion of worried adults is between and B. 90% of the population lies in the interval between and. C. There is a 90% probability that the…arrow_forwardIn the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117. What proportion of students earned scores between 500 and 600 on the SAT math test?arrow_forward
- On a particular stretch of highway, the speed limit is 65 mph. Speeds of cars on that stretch have a mean of 71 mph with a standard deviation of 5 mph. a. Would it be unusual to observe a car driving 60 mph or less on this stretch of highway? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. b. If we observe 100 cars along this highway, how many of them do we expect to be obeying the speed limit? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. c. A highway patrol officer pulls a car over for driving 75 mph. The driver argues that he was “going with the flow of traffic” and that the officer is unfairly singling him out for speeding. Does the driver have a point? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. Finally, recall the highway problem: the mean speed on a stretch of highway is 71mph with a standard…arrow_forwardIn a recent study, the distances of certain raptor nests to the nearest marshland were studied. The study found that these distances are normally distributed with mean 4.52 km and standard deviation 0.85 km. Let Y be the distance of a randomly selected nest to the nearest marshland. Complete parts (a) and (b). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. Determine P(Y > 5). P(Y > 5) = (Round to four decimal places as needed.)arrow_forward
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