MAT 232 Statistical Literacy Week 2 Assignment 2023

MAT 232 Statistical Literacy Week 2 Assignment 2023. Twenty-five people, consisting of a statistics professor and her students, are to measure the length of a room to the nearest tenth of a millimeter. Assume that everyone uses the same well-calibrated measuring device, such as a tape measure. Complete parts a through d below. a. All 25 measurements are not likely to be exactly the same; thus, the measurements will contain some sources of error. Are these errors systematic or random? Explain. A. These errors are random, because there is a tendency for the measurements to be all too high or too low. B. These errors are random. If they were systematic, there would be a tendency for the measurements to be all too high or all too low. C. These errors are systematic. If they were random, it would be undeterminable whether the measurements are all too high or too low. D. These errors are systematic, because it is undeterminable whether the measurements are too high or too low. b. If the professor wants to minimize the effect of random errors in determining the length of the room, is it better to report her own personal measurement as the length of the room or to report the average of all 25 measurements? Explain. A. It is better to use the average because it is likely to be in error by less than most of the individual measurements and it is more reliable than any single measurement. B. It is better to use the professor's own personal measurement because she has a more precise tape measure than her students. C. It is better to use the average because the average of many measurements is always equal to the true value. D. It is better to use the professor's own personal measurement because the random errors in the individual measurements will be multiplied in size 25 times in the average. c. Describe any possible sources of systematic errors in the measurement of the room length. A. Systematic errors might result if the students rush, and do not make the measurements carefully. B. Systematic errors might result if the tape measure has a manufacturing defect that made all of the units too small on the tape. C. Systematic errors might result if the tape measure is not long enough, and the students need to sum the measurements from the walls to some central point in the room. D. Systematic errors might result if there isn't much light in the room and the professor and students misread the tape measure. d. Can the process of averaging all 25 measurements help reduce any systematic errors? Why or why not? A. No, because measurements that have systematic errors cannot be averaged. B. Yes, because the average of many measurements is always equal to the true value. C. Yes, because the systematic errors will cancel out in the average. D. No, because if there is a systematic error in the measurements, that same error will be present in the average. 1/16/2021 Week 2 - Assignment-Jennifer Sexton 4/17 11. 12. 13. 14. 15. A new Corvette weighs pounds. A manufacturer's scale that is accurate to the nearest pound gives the weight as pounds, while the Department of Transportation uses a scale that is accurate to the nearest pound and obtains a weight of pounds. Which measurement is more precise? Which is more accurate? 3,272 0.1 3287.9 10 s 3280 Which measurement is more precise? Choose the correct answer below. A. The manufacturer's scale is more precise. B. The Department of Transportation scale is more precise. Which measurement is more accurate? Choose the correct answer below. A. The manufacturer's scale is more accurate. B. The Department of Transportation scale is more accurate. A study was conducted of pleas made by criminals. Among those criminals, pled guilty, and of them were sentenced to prison. Among the other criminals, who pled not guilty, were sent to prison. Complete (a) through (d). 1, 72 58 a. What percentage of the criminals pled guilty? 93 % (Round to the nearest tenth as needed.) b. What percentage of the criminals were sent to prison? 44 % (Round to the nearest tenth as needed.) c. Among those who pled guilty, what is the percentage who were sent to prison? 41.3 % (Round to the nearest tenth as needed.) d. Among those who pled not guilty, what is the percentage who were sent to prison? 80.6 % (Round to the nearest tenth as needed.) Last there were scheduled passenger flights in a certain country, and in of there were . Use a percentage to express the relative change. Use the second given value as the reference value. Also, write a statement describing the result. July 777,472 July 1995 759,191 The relative difference between July of 1995 and last July is 2 %. (Round to the nearest percent as needed.) There is a(n) % in the number of scheduled passenger flights from of to last . (Round to the nearest percent as needed.) 2 increase July 1995 July In a certain survey of adults, % reported having more than one television at home. Find the actual number of respondents corresponding to the given percentage. 1,043 83 The number of adults who reported having more than one television at home is 866 . (Round to the nearest integer as needed.) Fill in the blank in the following statement. If the population of state A is % less than the population of state B, then state A's population is _____% of state B's population. 20 If the population of state A is % less than the population of state B, then state A's population is % of state B's population. 20 80 1/16/2021 Week 2 - Assignment-Jennifer Sexton 5/17 16. 17. 18. If costs in the year are set equal to 100 so they can be used as the basis for determining index numbers, and the index number for the year 2012 is , what does a researcher know about costs in 2012 compared with costs in ? RAM memory 1998 28 RAM memory RAM memory 1998 Choose the correct answer below. A. The RAM memory costs in 2012 are 28% of those in the year 1998. B. The RAM memory costs in 1998 are 72 % of those in the year 2012. C. The RAM memory costs in 2012 are 28% lower than those in the year 1998. D. The RAM memory costs in 1998 are 28 % of those in the year 2012. E. The RAM memory costs in 2012 are 72% of those in the year 1998. F. The RAM memory costs in 2012 are 28% higher than those in the year 1998. In 1975 the price of gasoline per gallon was . With the 1975 price as the reference value, the gasoline price index for 1998 is . What was the cost of a gallon of gasoline in 1998? 55.9¢ 198.9 The cost of a gallon of gasoline in 1998 is $ 1.11 . (Round to the nearest cent as needed.) 1: Average Annual Consumer Price Index (=100) The typical (median) price of a single-family home in a certain region rose from $ in to $ in . Calculate the relative change in price from to , and compare it to the overall rate of inflation as measured by the Consumer Price Index. 73,,000 2007 Click the icon to view the Average Annual Consumer Price Index. 1 Home prices increased by 125 %. (Round to the nearest percent as needed.) The overall rate of inflation was 59 %. (Round to the nearest percent as needed.) Year CPI Year CPI Year CPI 1976 156...0 1977 160...6 1978 165...2 1979 172...1 1980 182...9 1981 190...0 1982 196...9 1983 199...3 1984 103...6 1985 107...3 1986 109...3