MAT 232 Week 1 5 Assignments 2023

MAT 232 Week 1 5 Assignments 2023. In a survey of 1,001 people, 711(or 71%) said that they voted in a particular presidential election. The margin of error for this survey was 4 percentage points. However, actual voting records show that only 61% of all eligible voters actually did vote. Does this imply that people lied when they responded in the survey? Explain. Choose the correct answer below. B. Based on the survey, the actual percentage of voters is expected to be between 67% and 75%, which does not include the 61% value based on actual voter results. If the survey was conducted properly, it is unlikely that its results would be so different from the actual results, implying either that respondents intentionally lied to appear favorable to the pollsters or that their memories were inaccurate. Week 2: Determine whether the data described below are qualitative or quantitative and explain why. The ages of a random sample of women D. The data are quantitative because they consist of counts or measurements. Determine whether the data described below are qualitative or quantitative and explain why. The numbers of rooms of residences in a housing study D. The data are quantitative because they consist of counts or measurements. State whether the data described below are discrete or continuous and explain why. The number of people in a theater each night B. The data are discrete because the data can only take on specific values. State whether the data described below are discrete or continuous and explain why. The numbers of different sizes offered by various clothing manufacturers D. The data are discrete because the data can only take on specific values. For the data described below, identify the level of measurement as nominal, ordinal, interval, or ratio. A music critic's review scale ( must listen, good, fair, bad, horrible) B. Ordinal For the data described below, identify the level of measurement as nominal, ordinal, interval, or ratio. The departments of a supermarket that products are stocked in (produce, dairy, etc.) C. Nominal Determine if the following statement represents a meaningful ratio, so the ratio level of measurement applies. A movie with a 4-star rating is twice as good as one with a 2-star rating. A. The ratio level of measurement does not apply. The temperatures (in °C) of water samples taken simultaneously in the lakes in a region are shown below. 21.7 18.7 17.3 22.3 18.2 18.3 Determine whether the data are qualitative or quantitative and identify the data set's level of measurement. Are the data qualitative or quantitative? What is the data set's level of measurement? Interval One of the authors received a credit card bill for $2,724, but it included a charge of $1,750 that was not valid. Find the values of the absolute and relative errors. The value of the absolute error is $1750 The value of the relative error is 180%(Round to the nearest integer as needed) 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. If they were systematic, there would be a tendency for the measurements to be all too high or all 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. D. 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. c. Describe any possible sources of systematic errors in the measurement of the room length. D. Systematic errors might result if the tape measure has a manufacturing defect that made all of the units too small on the tape. d. Can the process of averaging all 25 measurements help reduce any systematic errors? Why or why not? C. No, because if there is a systematic error in the measurements, that same error will be present in the average. A new Corvette weighs 3,263 pounds. A manufacturer's scale that is accurate to the nearest 0.1 pound gives the weight as 3290.7 pounds, while the Department of Transportation uses a scale that is accurate to the nearest 10 pounds and obtains a weight of 3277 pounds. Which measurement is more precise? Which is more accurate? Which measurement is more precise? Choose the correct answer below. A. The manufacture’s scale is more precise. Which measurement is more accurate? Choose the correct answer below. B. The Department of Transportation scale is more accurate. A study was conducted of pleas made by 1,025 criminals. Among those criminals, 952 pled guilty, and 396 of them were sentenced to prison. Among the 73 other criminals, who pled not guilty, 57 were sent to prison. Complete (a) through (d). a. What percentage of the criminals pled guilty? 92.90% (Round to the nearest tenth as needed.) b. What percentage of the criminals were sent to prison? 44.20% (Round to the nearest tenth as needed.) c. Among those who pled guilty, what is the percentage who were sent to prison? 41.60% (Round to the nearest tenth as needed.) d. Among those who pled not guilty, what is the percentage who were sent to prison? 78.10% (Round to the nearest tenth as needed.) Last January there were 747,570 scheduled passenger flights in a certain country, and in January of 1994 there were 634,174. Use a percentage to express the relative change. Use the second given value as the reference value. The relative difference between January of 1994 and last January is 18%. (Round to the nearest percent as needed.) There is a(n) 18% increase in the number of scheduled passenger flights from January of 1994 to last January. (Round to the nearest percent as needed.) In a certain survey of 1,007 adults, 84% reported having more than one television at home. Find the actual number of respondents corresponding to the given percentage. The number of adults who reported having more than one television at home is 846 (Round to the nearest integer as needed.) If the population of state A is 10% less than the population of state B, then state A's population is _____% of state B's population. If the population of state A is 10% less than the population of state B, then state A's population is 90% of state B's population. If RAM memory costs in the year 2003 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 27, what does a researcher know about RAM memory costs in 2012 compared with RAM memory costs in 2003? Choose the correct answer below. A. The RAM memory costs in 2012 are 27% of those in the year 2003. In 1975 the price of gasoline per gallon was 52.9¢. With the 1975 price as the reference value, the gasoline price index for 1998 is 192. What was the cost of a gallon of gasoline in 1998? The cost of a gallon of gasoline in 1998 is $1.02 The typical (median) price of a single-family home in a certain region rose from $76,300 in 1988 to $185,000 in 2008. Calculate the relative change in price from 1988 to 2008, and compare it to the overall rate of inflation as measured by the Consumer Price Index. 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 Home prices increased by 142% The overall rate of inflation was 82% A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 44, 10, 14, 55, and 22 respectively. Using percentages, what are the relative frequencies of the five classes? Grade Frequency Relative frequency A 4 11.43% B 10 28.57% C 14 40.00% D 5 14.29% F 2 5.71% (Round to two decimal places as needed.) A frequency table of grades has five classes (A, B, C, D, and F) with frequencies of 3, 12, 18, 6, and 2 respectively. What are the corresponding cumulative frequencies of the five classes? Grade Frequency Cumulative frequency A 3 3 B 12 15 C 18 33 D 6 39 F 2 41 The following table shows grades for a term paper in an English class. The table is incomplete. Use the information given to fill in the missing entries and complete the table. Category Frequency Relative Frequency A 12 24% B 8 16% C 16 32% D 10 20% F 4 8% Total 50 100% A mathematician drilled a hole in a die, filled it with a lead weight, and then proceeded to roll it. The results are given in the following frequency table.