question 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. Level of Variable Type of variable measurement X 5 O Nominal (a) Total elapsed time (in seconds) for O Quantitative O Ordinal completion of an assembly line O Interval operation O Categorical O Ratio (b) Highest educational degree O Nominal completed (less than high school O Quantitative O Ordinal diploma, high school diploma, two- year college degree, four-year O Interval O Categorical college degree, or graduate degree) Ratio O Nominal O Quantitative O Ordinal (c) Temperature (in degrees Celsius) O Interval O Categorical O RatioUSH Financial is a small bank that is examining its customers' use of its website. The numbers of online transactions made per day during the past 8 days are as follows. 85, 58, 50, 94, 60, 85, 64, 62 II: 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?I If your answer is not an integer, round your answer to one decimal place. (c) HowI many modes does the data set have, and what are 0 zero modes their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the yalue(s) of the mode(s), if applicable. 0 two modes: and , 0 one mode: The ages (in years) of the 5 doctors at a local clinic are the following. 30, 54, 40, 45, 31 Send data to calculator Assuming that these ages constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places. (If necessary, consult a list of formulas.) X 5 ?The following are the P/E ratios (price of stock divided by projected earnings per share) for 16 banks. 20, 14, 23, 15, 22, 19, 18, 23, 34, 29, 21, 22, 38, 18, 14, 17 Send data to calculator Find 25"and 60 percentiles for these ratios. (If necessary, consult a list of formulas.) (a) The 25 percentile: (b) The 60 percentile: X ?There are dozens of personality tests available on the intemet. One test, scored on a scale of 0 to 200, is designed to give an indication of how "personable" the test taker is, with higher scores indicating more "personabilitv." Suppose that scores on this test have a mean of 104 and a standard deviation of 23. Complete the following statements about the distribution of scores on this personalityr test. 3 9 (a) According to Chebvshev's theorem, at least a (about 89%) of the X \\(3 . scores lie between and . (Round your answer to the nearest whole number.) (b) According to Chebvshev's theorem, at least of the scores lie between 58 and 150. \fFill in the P (X = x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -6, -4, -1, 2, and 4. Value x of X P ( X = x) -6 -4 0.21 - 1 0.20 2 4 0.25The workers' union at a certain university is quite strong. About 94% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview a sample of 10 workers, chosen at random, to get their opinions on the strike. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of workers in the sample who are union members by giving the mean of the relevant X \\(3 1') distribution (that is, the expectation of the relevant random variable). Do not round your response. [D (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places. Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value ofc so that the following is true. P{2