A Company That Produces Facial Tissues Continually Monitors Tissue Strength October 25, 2022 1. Suppose that the regression line for a set of data, = mx + 3, passes through the point (2, 7). If and are the sample means of the x- and y-values, respectively, then = A. . B. - 2. C. + 3. D. 2 + 3. E. 3.5 + 3. 2. A study is made to determine whether more hours of academic studying leads to higher point scoring by basketball players. In surveying 50 basketball players, it is noted that the 25 who claim to study the most hours have a higher point average than the 25 who study less. Based on this study, the coach begins requiring the players to spend more time studying. Which of the following is a correct statement? A. While this study may have its faults, it still does prove causation. B. There could well be a confounding variable responsible for the seeming relationship. C. While this is a controlled experiment, the conclusion of the coach is not justified. D. To get the athletes to study more, it would be more meaningful to have them put in more practice time on the court to boost their point averages, as higher point averages seem to be associated with more study time. E. No proper conclusion is possible without somehow introducing blinding. 3. The longevity of people living in a certain locality has a standard deviation of 14 years. What is the mean longevity if 30% of the people live longer than 75 years? Assume a normal distribution for life spans. A. 75 - 0.30(14) B. 75 + 0.30(14) C. 75 - 0.4756(14) D. 75 + 0.5244(14) E. 75 - 0.5244(14) 4. Which of the following is a correct statement about correlation? A. If the slope of the regression line is exactly 1, then the correlation is exactly 1. B. If the correlation is 0, then the slope of the regression line is undefined. C. Switching which variable is called x and which is called y changes the sign of the correlation. D. The correlation r is equal to the slope of the regression line when z-scores for the y-variable are plotted against z-scores for the x-variable. E. Changes in the measurement units of the variables may change the correlation. 5. Which of the following are affected by outliers? I.Mean II.Median III.Standard deviation IV.Range V.Interquartile range A. I, III, and V B. II and IV C. I and V D. III and IV E. I, III, and IV 6. An engineer wishes to determine the quantity of heat being generated by a particular electronic component. She knows that the standard deviation is 2.4 and wants to be 99% sure of knowing the mean quantity to within ±0.6. Which of the following should be used to find the sample size (n) needed? A. B. C. D. E. 7. A company that produces facial tissues continually monitors tissue strength. If the mean strength from sample data drops below a specified level, the production process is halted and the machinery inspected. Which of the following would result from a Type I error? A. Halting the production process when sufficient customer complaints are received. B. Halting the production process when the tissue strength is below specifications. C. Halting the production process when the tissue strength is within specifications. D. Allowing the production process to continue when the tissue strength is below specifications. E. Allowing the production process to continue when the tissue strength is within specifications. 8. Two possible wordings for a questionnaire on a proposed school budget increase are as follows: I.This school district has one of the highest per student expenditure rates in the state. This has resulted in low failure rates, high standardized test scores, and most students going on to good colleges and universities. Do you support the proposed school budget increase? II.This school district has one of the highest per student expenditure rates in the state. This has resulted in high property taxes, with many people on fixed incomes having to give up their homes because they cannot pay the school tax. Do you support the proposed school budget increase? One of these questions showed that 58% of the population favor the proposed school budget increase, while the other question showed that only 13% of the population support the proposed increase. Which produced which result and why? A. The first showed 58% and the second 13% because of the lack of randomization as evidenced by the wording of the questions. B. The first showed 13% and the second 58% because of a placebo effect due to the wording of the questions. C. The first showed 58% and the second 13% because of the lack of a control group. D. The first showed 13% and the second 58% because of response bias due to the wording of the questions. E. The first showed 58% and the second 13% because of response bias due to the wording of the questions. 9. Suppose that for a certain Caribbean island in any 3-year period the probability of a major hurricane is 0.25, the probability of water damage is 0.44, and the probability of both a hurricane and water damage is 0.22. What is the probability of water damage given that there is a hurricane? A. B. C. D. E. 10. A union spokesperson is trying to encourage a college faculty to join the union. She would like to argue that faculty salaries are not truly based on years of service as most faculty believe. She gathers data and notes the following scatterplot of salary versus years of service. Which of the following most correctly interprets the overall scatterplot? A. The faculty member with the fewest years of service makes the lowest salary, and the faculty member with the most service makes the highest salary. B. A faculty member with more service than another has the greater salary than the other. C. There is a strong positive correlation with little deviation. D. There is no clear relationship between salary and years of service. E. While there is a strong positive correlation, there is a distinct deviation from the overall pattern for faculty with fewer than ten years of service. glassoprobbild1991.blogspot.com Source: https://www.crackap.com/ap/statistics/test25.html Share :