Thirty-three percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4,2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St.Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week.Assume the population proportion of St. Paulites who drink bottled water more than once a week is 0.33, the same as the overallproportion of Americans who drink bottled water more than once a week. Use z-table.a. Suppose you select a sample of 540 St. Paulites. Show the sampling distribution of P (to 4 decimals).E(P).33Op =.0202b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.07 of the populationproportion (to 4 decimals).probability 0.9994c. Suppose you select a sample of 280 St.Paulites. Show the sampling distribution of (to 4 decimals).E(P).3300.0361d. Based upon a smaller sample of only 280 St. Paulites, what is the probability that the sample proportion will be within 0.07 ofthe population proportion (to 4 decimals),probability0.9998e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in parts (a) and (b)rather than the smaller sample in parts (c) and (d)? b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.07 of the populationproportion (to 4 decimals).probability 0.9994c. Suppose you select a sample of 280 St.Paulites. Show the sampling distribution of p (to 4 decimals).E(p).3300.0361d. Based upon a smaller sample of only 280 St. Paulites, what is the probability that the sample proportion will be within 0.07 ofthe population proportion (to 4 decimals).probability0.9998e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in parts (a) and (b)rather than the smaller sample in parts (c) and (d)?Reduced by0.0263Have gain in precision by increasing the sample.Hide Feedback

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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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John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach in college basketball with an annual salary of $5.4 million (USA Today, March 29, 2012). The sample below shows the head basketball coach's salary for a sample of 10 schools playing NCAA Division 1 basketball. Salary data are in millions of dollars. University Coach’s Salary University Coach’s Salary Indiana 2.2 Syracuse 1.5 Xavier .5 Murray State .2 Texas 2.4 Florida State 1.5 Connecticut 2.7 South Dakota State .1 West Virginia 2.0 Vermont .2 a. Use the sample mean for the 10 schools to estimate the population mean annual salary for head basketball coaches at colleges and universities playing NCAA Division 1 basketball (to 2 decimals). b. Use the data to estimate the population standard deviation for the annual salary for head basketball coaches (to 4 decimals).
Sleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep. This condition results in lack of sleep and extreme fatigue during waking hours. A current estimate is that 9.79.7 million out of the 312.7312.7 million Americans suffer from sleep apnea, or approximately 3.1%3.1%. A safety commission is concerned about the percentage of commercial truck drivers who suffer from sleep apnea. They do not have any reason to believe that it would be higher or lower than the population’s percentage. To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.1%3.1%, a simple random sample of 406406 commercial truck drivers is examined by a medical expert, who concludes that 55 suffer from sleep apnea. Does this evidence support the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.1%3.1%? Use a 0.050.05 level of significance. Step 2 of 3 : Compute the value of the…
Hypertension is when an adult is classified as having high blood pressure (above 130 systolic blood pressure is considered hypertension). Researchers want to know the proportion of adult North Americans (above age of 18) that have hypertension. Based on a study of 3532 adult North Americans, 1219 of them were classified as having hypertension.
1. In a survey, 957 internet users chose to respond to this question posted on ratemyprofessors.com: How helpful are the reviews on this website? 92% of the respondents said “Very Helpful”. a. Determine whether the study is an experimental or an observational study. b. Identify the sample and the population. c. Is the value 92% a statistic or a parameter? d. Identify a major problem with the study.
In the Star and Tribune newspaper, there is an article entitled “1 in 8 school buses fail tests." The article says that the overall statewide proportion of school buses that fail safety tests is 9%. However, one bus companyhas a higher rate of over 12%. Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection. We take a sample of 200 buses and find that 20 buses fail the safety inspection. What is the sample proportion of buses that fail the test? (Enter your answer as a decimal fraction between 0 and 1, e.g. .27)
3. A light bulb manufacturer finds that 4% of the bulbs it makes are defective. The quality control officer predicts that 700 bulbs will be defective out of 15,500 bulbs made. Do you agree? Explain.
Hypertension is when an adult is classified as having high blood pressure (above 130 systolic blood pressure is considered hypertension). Researchers want to know the proportion of adult North Americans (above age of 18) that have hypertension. Based on a study of 3532 adult North Americans, 1219 of them were classified as having hypertension.
Thirty-two percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Supposeyou have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sampleof St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites whodrink bottled water more than once a week is 0.32, the same as the overall proportion of Americans who drink bottled water more than once aweek. Use z-table.a. Suppose you select a sample of 540 St. Paulites. Show the sampling distribution of ē (to 4 decimals).E) .32Op =.0201b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.01 of the population proportion (to4 decimals).probability = C. Suppose you select a sample of 250 St. Paulites. Show the sampling distribution of ē (to 4 decimals).E(P) = 0.32Op = d.…
A national vital statistics report indicated that 3% of all births produced twins. Researchers are curious about the proportion of twin births among teenage mothers. A large hospital reported a sample of 469 births from teenage mothers found 7 sets of twins. Is the proportion of twin births among teenage mothers different from the overall figure? Use a 10% significance level.
A survey of a group's web habits for the past month obtained the following information.38% visited Facebook.38% visited LinkedIn.42% visited Google.23% visited Facebook and LinkedIn.24% visited Facebook and Google.22% visited LinkedIn and Google.15% visited all three sites.Find the percentage that visited none of these three sites last month. % Submit QuestionQuestion 9
In 2015, Addison Group and Kelton surveyed the work preferences and attitudes of 1081 working adults spread over three generations-Baby Boomers, Generation X, and Millennials (Society for Human Resource Management website). One question asked individuals if they would leave their current job to make more money at another job. The file Millennials contains the sample data, which is also summarized in the following table. Click on the datafile logo to reference the data. DATA file Leave Job for More Money? Yes No Baby Boomer 137 213 Generation 7.85 What is the p-value? Use Table 3 of Appendix B. The p-value is between 0.005 and 0.01 Using a 0.05 level of significance, what is your conclusion? Conclude interest in leaving job for more money is not Generation X 171 199 Millennial 175 186 Conduct a test of independence to determine whether interest in leaving a current job for more money is independent of employee generation. Compute the value of the X² test statistic (to 2 decimals). Do…
A governmental agency computed the proportion of violent crimes in the United States in a particular year falling into each of four olo categories. A simple random sample of 550 violent crimes committed in California during that year were categorized in the same way. The following table presents the results. U.S. California Category Proportion Frequency Murder 0.012 Forcible Rape 0.058 20 Robbery 0.360 207 Aggravated Assault 0.570 318 Send data to Excel Can you conclude that the proportions of crimes in the various categories in California differ from those in the United States as a whole? Use the 0.01 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0 / 4 Part 1 of 4 (a) State the null and alternate hypotheses. Save For Later Submit Assignment Check Answer Skip Part O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy (? 5/2 Search insert 山园

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