Use the side-by-side boxplots shown to complete pans (a) through (e). x _D:_ q (a) What is the median of variable x? The median of variable x is . (Round to the nearest integer as needed.) (b) What is the third quartile of variable y? The third quartile of variable y is . (Round to the nearest integer as needed.) (0) Which variable has more dispersion? Why? . Variable ythe range of variable x is smaller than that of variable y. . Variable xthe interquartile range of variable x is larger than that of variable y. . Variable ythe interquartile range of variable y is larger than that of variable x. . Variable xthe range of variable y is smaller than that of variable x. Both dispersions are equal. (d) Describe the shape of the variable x. Support your position. Choose the correct answer below. . Skewed rightthe median is right of center in the box and the left whisker is shorter than the right whisker. . Symmetricthe median is the center of the box and the left and right whiskers are about the same length. . There is not enough information to determine the shape of the variable x. . Skewed leftthe median is left of center in the box and the left whisker is longer than the right whisker. For the histogram on the right determine whether the mean is greater than, less than, or approximately equal to the median. Justify your answer. Which of the following is correct? [:3 A- k M because the histogram is skewed right. - k = M because the histogram is skewed left. - k = M because the histogram is symmetric. k > M because the histogram is symmetric. In a certain city, the average 20 to 29-year old man is 69.4 inches tall, with a standard deviation of 3.0 inches, while the average 20- to 29~year old woman is 64.5 inches tall, with a standard deviation of 3,9 inches. Who is relatively taller, a 75-inch man or a 70-inch woman? Find the corresponding z-scores. Who is relatively taller, a 75-inch man or a 70-inch woman? Select the correct choice below and ll in the answer boxes to complete your choice. (Round to two decimal places as needed.) 0 A- The z-score for the woman, , is smaller than the z-score for the man, , so she is relatively taller. C? B- The z-score for the man, , is smaller than the z-score for the woman, , so he is relatively taller. Cl C- The z-score for the woman, , is larger than the z-score for the man, , so she is relatively taller. C" D- The z-score for the man, , is larger than the z-score for the woman, , so he is relatively taller. The weight of an organ in adult males has a bell-shaped distribution with a mean of 300 grams and a standard deviation of 30 grams. Use the empirical rule to determine the following. (a) About 95% of organs will be between what weights? (b) What percentage of organs weighs between 210 grams and 390 grams? (c) What percentage of organs weighs less than 210 grams or more than 390 grams? (d) What percentage of organs weighs between 240 grams and 390 grams? (a) and grams (Use ascending order.) (b) % (Type an integer or a decimal.) (c) % (Type an integer or a decimal.) (d) % (Type an integer or decimal rounded to two decimal places as needed.) Acellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one particular customer for the past 20 months. Use the given data to answer parts (a) and (b). (a) Determine the standard deviation and interquartile range of the data. 5 = J (Round to two decimal places as needed) |QR= (Type an integer or a decimal.) 331 419 385 339 491 508 504 454 384 443 541 517 362 486 474 442 532 D 550 503 407 (b) Suppose the month in which the customer used 331 minutes was not actually that customer's phone. That particular month the customer did not use their phone at all, so 0 minutes were used. How does changing the observation from 331 to 0 affect the standard deviation and interquartile range? What property does this illustrate? The standard deviation ':| and the interquartile range What property does this illustrate? Choose the correct answer belom ReSIstance increases Dispersion Weighted Mean is not affected Empirical Rule decreases