MAT 232 Midterm Exam 2023

MAT 232 Midterm Exam 2023. Statistical Literacy. What is a population parameter? A. A population parameter is a numerical value describing some attribute of a population. B. A population parameter is a numerical value describing some attribute of a sample. C. .A population parameter is a portion of the entities of interest that the researcher uses to gather data. D. D.A population parameter is a range of likely values that a sample statistic could take. What is the difference between a sample statistic and a population parameter? A. A population parameter is frequently impractical or impossible to find for large populations, however a sample statistic is often easier to find and provides a reasonable approximation to the population parameter. B. A sample statistic is frequently impractical or impossible to find for large samples, however a population parameter is often easier to find and provides a reasonable approximation to the sample statistic. C. A sample statistic is a subset of a population parameter. D. A population parameter is a subset of a sample statistic. E. There is no difference between a sample statistic and a population parameter. The following table gives the total area in square miles (land and water) of seven states. Complete parts (a) through (c). State Area 1 52,100 2 615,100 3 114,500 4 53,200 5 158,900 6 104,700 7 5,800 a. Find the mean area and median area for these states. The mean is 157,757 square miles. (Round to the nearest integer as needed.) The median is 104,700 square miles. b. Which state is an outlier on the high end? If you eliminate this state, what are the new mean and median areas for this data set? State 2 is an outlier on the high end. The new mean is 81,533 square miles. (Round to the nearest integer as needed.) The new median is 78,950 square miles. (Round to the nearest integer as needed.) c. Which state is an outlier on the low end? If you eliminate this state, what are the new mean and median areas for this data set? State 7 is an outlier on the low end. The new mean is 183,083 square miles. (Round to the nearest integer as needed.) The new median is 109,600 square miles. (Round to the nearest integer as needed.) 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. Click the icon to view the frequency table. Outcome Frequency 1 26 2 30 3 43 4 40 5 29 6 32 a. According to the data, how many times was the die rolled? 200 (Simplify your answer.) b. How many times was the outcome greater than 2? 144 (Simplify your answer.) c. What percentage of outcomes were 6? 16 % (Type a whole number.) d. List the relative frequencies as decimals or integers, not percentages, that correspond to the given frequencies. Complete the table below. Outcom e Relative frequency 1 .13 2 .15 3 . 215 4 .2 5 .145 6 .16 (Type integers or decimals rounded to the nearest thousandth as needed.) e. List the cumulative frequencies that correspond to the given frequencies. Complete the table below. Outcom e Cumulative frequency 1 26 2 56 3 99 4 139 5 168 6 200 (Simplify your answers.) Fill in the blank in the following statement. If a truck weighs 20% more than a car, then the truck's weight is _____% of the car's weight. If a truck weighs 20% more than a car, then the truck's weight is 120 % of the car's weight. One common system for computing a grade point average (GPA) assigns 4 points to an A, 3 points to a B, 2 points to a C, 1 point to a D, and 0 points to an F. What is the GPA of a student who gets an A in a 3-credit course, a B in each of three 4-credit courses, a C in a 4-credit course, and a D in a 3-credit course? The mean grade point score is 2.7. (Round to the nearest tenth as needed.) State whether the data described below are discrete or continuous, and explain why. The durations of movies in minutes Choose the correct answer below. A. The data are continuous because the data can only take on specific values. B. The data are discrete because the data can only take on specific values. C. The data are continuous because the data can take on any value in an interval. D. The data are discrete because the data can take on any value in an interval. A data set consists of the 80 ages of women at the time that they won an award in the category of best actress. Complete parts (a) through (c) below. a. One of the actresses was 40 years of age, and she was older than 59 of the other actresses at the time that they won awards. What is the percentile of the age of 40? 37th percentile 71st percentile 73rd percentile 86th percentile b. One of the actresses was 54 years of age, and she was older than 69 of the other actresses at the time that they won awards. What is the percentile of the age of 54? 32nd percentile 77th percentile 86th percentile 3rd percentile c. One of the actresses was 60 years of age, and she was older than 70 of the other actresses at the time that they won awards. What is the percentile of the age of 60? 84th percentile 69th percentile 87th percentile 71st percentile Construct a stem-and-leaf plot of the test scores 67 comma 72 comma 85 comma 75 comma 89 comma 89 comma 87 comma 90 comma 98 comma 100.67, 72, 85, 75, 89, 89, 87, 90, 98, 100. How does the stem-and-leaf plot show the distribution of these data? Construct the stem-and-leaf plot. Choose the correct answer below. A. Ste m Leaves 6 7 7 2 5 8 5 7 9 9 9 0 8 10 0 This is the correct answer. B. Ste m Leaves 6 7 7 2 5 8 5 9 9 6 9 0 8 10 0 Your answer is not correct. C. Ste m Leaves 6 7 7 26 8 5 6 9 7 9 0 9 10 0 D. Ste m Leaves 6 5 7 2 5 8 5 9 9 7 9 0 7 10 0 How does the stem-and-leaf plot show the distribution of these data? A. The lengths of the rows are similar to the heights of bars in a histogram; longer rows of data correspond to smaller frequencies. B. The lengths of the rows are similar to the widths of bars in a histogram; longer rows of data correspond to higher frequencies. C. The lengths of the rows are similar to the widths of bars in a histogram; longer rows of data correspond to smaller frequencies. Your answer is not correct. D. The lengths of the rows are similar to the heights of bars in a histogram; longer rows of data correspond to higher frequencies. Use the following frequency table for the weights (in pounds) of 4141 cans of regular coke with bin width of 0.0050 pound to construct the corresponding histogram. Click the icon to view the table. Choose the correct graph below. A. 0.790.83025WeightFrequency    A histogram has a horizontal axis labeled “Weight” from 0.79 to 0.83 in intervals of 0.01 and a vertical axis labeled “Frequency” from 0 to 25 in intervals of 5. The heights of the vertical bars with bin width 0.005 are as follows: 0.79 to 0.795, 2; 0.795 to 0.80, 0; 0.80 to 0.805, 2; 0.805 to 0.81, 16; 0.81 to 0.815, 5; 0.815 to 0.82, 3; 0.82 to 0.825, 8; 0.825 to 0.83, 5. B. 0.790.83025WeightFrequency    A histogram has a horizontal axis labeled “Weight” from 0.79 to 0.83 in intervals of 0.01 and a vertical axis labeled “Frequency” from 0 to 25 in intervals of 5. The heights of the vertical bars with bin width 0.005 are as follows: 0.79 to 0.795, 2; 0.795 to 0.80, 0; 0.80 to 0.805, 2; 0.805 to 0.81, 3; 0.81 to 0.815, 5; 0.815 to 0.82, 5; 0.82 to 0.825, 8; 0.825 to 0.83, 16. C. 0.790.83025WeightFrequency