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) Rating in a consumer magazine O Ordinal (excellent, above average, fair, or poor ) OInterval Categorical O Ratio Quantitative ONominal (b) Price (in dollars) of a shirt on the OOrdinal clearance rack O Interva O Categorical Ratio Quantitative ONominal O Ordinal (c) Temperature (in degrees Fahrenheit) O Interval O Categorical O Ratio Flight 4581 travels daily from Pittsburgh to San Antonio. The flight is due into San Antonio at 5: 07 p.m. The following list gives the Flight 4581 arrival time relative to 5: 07 p.m. (in minutes) for a selection of 8 days. (A negative number means that the flight arrived early.) 20, -1, 25, -6, 35, 20, 13, 19 Send data to calculator a) what is the median of this data set? If your answer is not an integer, round your answer to one decimal place. (b) what is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. 0 (c) How many modes does the data set have, and what are zero modes their values? Indicate the number of modes by clicking in the iate circle, and then indicate the value(s) of the O one mode: 0 mode(s), if applicable. O two modes: and] The following are all 6 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale. 6, 10, 7, 8, 6, 5 Send data to calculator Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places. The following are the P/E ratios (price of stock divided by projected earnings per share) for 19 banks. 34, 24, 31, 50, 29, 15, 25, 29, 14, 15, 23, 29, 38, 22, 21, 18, 22, 22, 18 Send data to calculator Find 40" and 75" percentiles for these ratios. If necessary, consult a list of formulas.) The 40 percentile: [ (b) The 75 percentile: [ 5. Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials respond with the following information: the mean distance commuted to school by students is 15.7 miles, and the standard deviation of the distance commuted is 4.0 miles. Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university. 36% (a) According to Chebyshev's theorem, at least (Choose one) v of the 56% 75% commute distances lie between 7.7 miles and 23.7 miles. 84% 89% (b) According to Chebyshev's theorem, at least 56% of the commute distances lie between | miles and | miles. (Round your answer to 1 decimal place.) 6. Fill in the P (X= x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -4, -3, 1, 5, and 6. Value x of X P(X = x) -3 0.29 0.27 0.12 A rainstorm in Portland, Oregon, wiped out the electricity in 10% of the households in the city. Suppose that a random sample of 50 Portland households is taken after the rainstorm. Answer the following (a) Estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution elevant random variable (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places. Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(ZS c) = 0.7257 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. 0 9. Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14.1 -. Research shows that exactly 95% of healthy females have a hemoglobin level below 16 -. What is the standard deviation of the distribution of hemoglobin levels in healthy females? Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places. 10. Suppose that pulse rates among healthy adults are normally distributed with a mean of 79 - beats minute and a standard deviation of 8 -. What proportion of 8 _beats healthy adults have pulse rates that are more than 86 - 6 beats ? R minute -? Round your answer to at least four decimal places. 0