MAT 232 Midterm Exam Questions & Answers

What is a sample statistic, what is a population parameter, and what is the difference between them? What is a sample statistic? A. A sample statistic is a range of likely values that a population parameter could take. B. A sample statistic is a numerical value describing some attribute of a population. C. A sample statistic is a numerical value describing some attribute of a sample. This is the correct answer D. A sample statistic is a portion of the entities of interest that the researcher uses to gather data. 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? (Simplify your answer.) b. How many times was the outcome greater than 2? (Simplify your answer.) c. What percentage of outcomes were 6? (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 1 2 3 Relative frequency 4 5 6 (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 1 2 3 Cumulative frequency 4 5 6 (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 bel