1. For each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible. variable Type of Level of variable measurement O Quantitative O Nominal (a) Temperature (in degrees Fahrenheit) O Ordinal Categorical O Interv O Ratio (b) Highest educational degree O Quantitative O Nominal completed (less than high school diploma, high school diploma, tw O Ordinal year college degree, four-year O Interval O Categorical college degree, or graduate degree) O Ratio Quantitative O Nominal c) Duration (in minutes) of a call to a O Ordinal customer support line O Interval O Categorical O Ratio 2. For each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible Variable Type of Level of O Quantitative Nominal a) Distance (in miles) from home to the O Ordinal nearest all-night convenience store O Categorical O Interval O Ratio Quantitative ONominal (b) Letter grade (A, B, C, D, or F) O Ordinal Categorical O Interv Ratio Quantitative (c) Favorite TV game show Categorical O Interval O Ratio . For each variable, determine whether it is best thought of as discrete or continuous. Variable Discrete Continuous (a) The fuel efficiency, in miles per gallon, of an American-made car O (b) The length of the arm of a heavyweight boxer o (c) The body temperature measurement of a participant in a lie-detector test o 'd) The number of personal telephone calls made tomorrow at Bingley Corporation o . For each variable, determine whether it is best thought of as discrete or continuous. Variable Discrete Continuous (a) The length of the arm of a heavyweight boxer O (b) The number of damaged chron omes on a petri dish following irradiation o (c) The fuel efficiency, in miles per gallon, of an American-made car o o d) The time it takes to drive from home to work (or school) o o The following is a list of 13 measurements. -70, 12, 75, -47, 73, -52, 62, 49, -11, 6, -15, -93, 62 Suppose that these 13 m rely labeled X1, X2. .... *13- Thus, -70 is labeled x1, 12 is labeled x2, and so on.) Compute the following. 1 37 Round your answer to at least two decimal places. 0 6. The following is a list of 14 measurements. 9, 28, 72, 1, -25, -97, 92, -9, -11, -45, -32, -7, 17, -37 Suppose that these 14 measurements are respectively labeled X1 X2, ..,*14' (Thus, 9 is labeled x], 28 is labeled x2, and so on.) Compute the following. (x, + 40) 7. To inspect manufacturing processes, companies typically examine samples of parts for deficiencies. One company that manufactures ballpoint pens selected samples of 1000 pens on each of 9 days. The company recorded, for each sample of 1000, the number of defective pens in the sample. Here are their data: 7, 30, 25, 26, 6, 21, 4, 22, 8 (2) What is the mean of this data set? If your answer is not an (b) What is the median of this data set? if your answer is not (C) How many modes does the data set have, and what are O zero modes appropriate circle, and then indicate the value(s) of the mode (s), if applicable . O one mode: O two modes: and [ 8. A survey of 8 adults employed full-time was taken. Here are their reported numbers of hours worked per week: 50, 44, 50, 42, 43, 40, 42, 54 an integer, round your answer to one decimal gianswer is not (b ) what is the m leger, round your answer to o (C) How many modes does the data set have, and what are zero modes appropriate circle, and then indicate the value(s) of the O one mode: mode(s), if applicable. O two modes: and . An intelligence test that has a maximum time for completion of 45 minutes was recently administered to a group of 22 people. Their respective times for completion (in minutes) were as follows. 24, 29, 31, 31, 31, 34, 37, 37, 37, 38, 38, 39, 39, 41, 41, 41, 42, 42, 42, 42, 44, 44 Frequency 10 Time for completion ( in minutes ) Answer the questions below Mean (@) Which measures of central tendency do Median apply. not exist for this data set? Choose all that Mode O All of these measures exist (b) Suppose that the measurement 24 (the O Mean smallest measurement in the data set) were replaced by 12. Which measures of central Media tendency would be affected by the change? OMode Choose all that apply. ONone of these measures O Mean removed. Which measures of central Media tendency would be changed from those of O Mode the original data set? Choose all that apply. None of these measures 10. A job placement agency advertised that last year its clients, on average, had a starting salary of $39,500. Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last year at least one of their clients had a starting salary of exactly $39,500. This year some of their clients will have a starting salary of at least $39,500. Last year at least one of their clients had a starting salary of at least $39,500. ow was equal to the number of the clients who had a starting salary of $39,500 or above. Last year some of their clients had a starting salary of more than $37,000. None of the above statements are true