MAT232 MIDTERM

1. Determine whether the data described below are qualitative or quantitative and explain why. The postal codes of survey The data are qualitative because they don’t measure or count anything2. The brands of peanut butter eaten in households surveyed by a consumer research company. The data are qualitative because they don’t measure or count anything. 3. The number of car accidents on a given stretch of highway each year. The data are discrete because the data can only take on specific values.4. The weights ( in tons) of the trees in a forest. The data are continuous the data can take on any value in an interval. 5. Types of movies (drama, comedy, ect.) Nominal6. The cities in a region. Nominal7. A movie with a 4-star rating is twice as good as one with a 2-star rating. The ratio level of measurement does not apply8. The temperatures ( in C) of water samples taken simultaneously in a large are shown below. 27.9 23.2 22.7 23.9 24.8 27.7 22.4 23.1 25.3Are the data qualitative or quantitative? Quantitative - What is the data set’s level Measurement?Interval9. One of the authors received a credit card bill for $3,150, but it included a charge of $1,918 thatwas not valid. Find the values of the absolute and relative errors. The value of the absolute error is $1918. The value of the relative error is 156%.10. 25 people, consisting of a statistics professor and her students, are to measure the length of a room to the nearest 10th of a millimeter. Assume that everyone uses the same well-calibrated measuring device, such as a tape measure. The errors are random. If they were systematic, there would be a tendency for the measurements to be all too high or all to low. If the professor wants to minimize the effect of random error in determining the length of the room, isit better to report her own personal measurement as the length of the room or to report theaverage of all 25 measurements? It is better to use the average because it is likely to be inerror by less than most of the individual measurement and it is more reliable than any single measurement. C. Systematic error might result if the tape measure has a manufacturing defectthat made all of the units too small on the tape. D. No, because if there is a systematic error in the measurements, that same error will be present in the average. 11. New Vet weight 3278 pounds, Manufactures scale is 10 pounds weight 3284. Transort scale is0.1 pound and obtains weight 3289.7 pounds. A. The department of trans scale is more precise. B. The manufactures’s scale is more accurate. 12.A study was conducted of pleas made by 1,028 criminals. Among those criminals, 955 pled guilty, and 393 of them were sentenced to prison. Among the 73 other criminals, who pled not guilty, 51 were sent toprison. Complete (a) through (d). What percentage of the criminals pled guilty? 92.9% B. What percentage of the criminals were sent to prison? 43.2% C. Among those who pled guilty, what is the percentage who were sent to prison? 41.2% D. Among those who pled not guilty, what is the percentage who were sent to prison? 69.9%13. Last February there were 717, 367 scheduled passenger flights in a certain country, and in February of 1995 there were 791,602. Use a percentage to express the relative change. Use the second given value as the reference value. Also, write a statement describing the result. The relative difference between February of 1995 and last February is -9%. There is an 9% decrease in the number of scheduled passenger flights from February of 1995 to last February.14. In a certain survey of 1,012 adults, 83% 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 84015.16. If the population of state A is 25% less than the population of state B, then state A's populationis _____% of state B's population.If the population of state A is 25% less than the population of state B, then state A's population is 75% of state B's population.17. If GPS navigatorGPS navigator costs in the year 1998 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 10, what does a researcher know about GPS navigator GPS navigator costs in 2012 compared with GPS navigator GPS navigator costs in 1998?The GPS navigator cost in 2012 are 10% of those in the year 1998.18. In 1975 the price of gasoline per gallon was 55.3*. With the 1975 price as the reference value, the gasoline price index for 1998 is 192.4. What was the cost of gasline in 1998? The cost of a gallon of gasoline in 1998 is $1.0619. The typical (median) price of a single-family home in a certain region rose from $75,700 in 1992 to $165,000 in 2007. Calculate the relative change in price from 1992to 2007, and compare it to the overall rate of inflation as measured by the consumer index. Home prices increased by 118%. The overall rate of inflation was 48%.20. A table of grades has five classes (A,B,C,D,F) with frequencies of 5,14,14,5, and 2 respectively. A- 5 12.5%, B. 14-35%, C. 14- 35%, D. 5-12.5%, F. 2-5%21. Table (A,B,C,D,F) 5,13,14,5,AND 2. A-5-5, B-13-18,C.14-32,D.5-37,F.2-3922. Table grade English Class- A. 12-24% B. 8-16% C. 15-30%, D. 11-22%, F. 50-100%23. Mathematician drilled- A-200, B. 139, C.12%, D. 1-0.130 2-0.175 3. 0.225 4. 0.210 5. 0.140 6. 0.120 E. 1-26 2-61 3-106 4-148 5-176 6-20024. A. 40 B. 37 C. 24 D. 55025. 36 cans coke with bin of 0.0050 pounds. B. -small, none, really small,small, medidum,big, extra med, small26. 400 randomly selected Pareto chart .. B- blue, red,green, and yellow…D. Executive search firms (E).27. Pareto how employees found jobs. C- GREEN 20% BLUE 0% RED 64% AND YELLOW 7%. B The pareto chart is more effective in showing the relative importanceof job sources by using a vertical scale and arranging the bars in descending order. 28. Magazine article 26 words- B 1- 7,1,1,3,4,4,3,0,229. Year-end price gold- 1-199-2-258-3-231-4-498-5-583-6-409-7-459-8-397-9-334-10-334-11-388-12-491-13-377-14-345- C small M30. 67,73,86,75,89,89,88,90,99,100- C. 6-7,7-35,8-6899,9-09,10-0.A. TO THE HEIGHTSOF BARS TO HIGHERS FREQUENCIES31. A. Total # in either category may have increased or decreased due to an increasing or decreasing population. So the rates give better information about trends. B. Green till 10 then a small red, B. By showing the years 32. Men blue, women pink The college degrees award men 1990- 565,000. Women in 1990 616,000. B. C-In 1980, more men than women received degrees: in 2000, more women than men ….C. 1960’S- D. 447,000 &1312,000.33. When constructing a graph showing the population of two countries, an illustrator draws two different people with heights proportional to the populations. Identify a way in which the graph might be misleading. What is the general name for such graphs that use drawings of people or objects? Misleading? The graph might be misleading because the aspect of the drawings of people that represent the population of each country could be ambiguous. Viewers of the graph may interpret the area of each person as representing the respective populations. What is the general name for a graph that uses drawings of people or objects? A PictographThe accompanying figure shows the highway fuel consumption (mi/gal) for two different models of car. How is the graph misleading? How could it be drawn so that it is not misleading? The graph is misleading