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Annual high temperatures in a certain location have been tracked for several years. The coin size data (measured in millimeters) collected from each group is Let X represent the year and Y the high temperature. Based on the data shown shown below. below, calculate the correlation coefficient (to three decimal places) between X and Low Income High Income X y 15 4 19.4 20 15 18 5 23.55 6 28.4 26 7 30.65 30.5 35.65 17 10 37.9 11 41.55 12 43.1 29 13 45.85 50.3 Check Answer You can copy the data into Excel by highlighting the data, right-clicking and In the country of United States of Heightlandia, the height measurements of selecting Copy, then opening Excel, clicking on a blank cell, and selecting Paste from the Edit menu. ten-year-old children are approximately normally distributed with a mean of 56.6 inches, and standard deviation of 1.6 inches Give your answers to at least 3 decimal places accuracy, Keep the data in Excel, as you will need this information again in later questions. A) What is the probability that a randomly chosen child has a height of less 2. Compute the following summary statistics than 60.1 inches? a) The mean for the low income group is: Answer= (Round your answer to 3 decimal places.) bj The median for the low income group is: B) What is the probability that a randomly chosen child has a height of more ") The standard deviation for the low income group is: than 54.9 inches? d) The mean for the high income group is: Answer= (Round your answer to 3 decimal places.) el The median for the high income group is: i The standard deviation for the high income group is: Check Answer The neignts or aquit men in America are normally distributed, with a mean or Giving a test to a group of students, the grades and gender are summarized below 69.7 inches and a standard deviation of 2.66 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 A B C Total inches and a standard deviation of 2.53 inches. Male 5 9 17 a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? Female 18 13 15 Total 23 22 32 Z = If one student is chosen at random, b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? Find the probability that the student got a C: Find the probability that the student was female AND got a "A": c) Who is relatively taller? Find the probability that the student was male OR got an "B": O The 5 foot 11 inch American woman O The 6 foot 3 inch American man If one student is chosen at random, find the probability that the student got a B' GIVEN they are male: Check Answer Check