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a. [3 pts) Create histograms for the variables of health dollars, income and height. These should be three different graphs. Determine whether each could be

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a. [3 pts) Create histograms for the variables of health dollars, income and height. These should be three different graphs. Determine whether each could be considered a normally distributed variable. Justify your answer. Health Dollars [328 (G&E (100, (134 (168 (202 (236 270, (304 (338 (372 (408, This distribution has a longer right tail therefore it is a positively skewed distribution. Height This distribution has a longer left tail therefore it is @ negatively skewed distribution. Income b. (3 pts) Find the descriptive statistics of each variable and provide your answers from Excel below. Round your answers to three digits. C. (8 pts) Using the height variable, determine the following probabilities. Be sure to include your Excel command with your answers. Round your answers to three digits. i. Find the probability of an individual having a height less than 60 inches. ii. Find this probability P(height>70) == lii. What proportion of individuals have a height between 55 and 65 inches? iv. How might these be helpful to this health care organization? d. (& pts) Using a sample size of 40 and the central limit theorem, find the following probabilities for the health dollars variable, rounded to three decimal places. Be sure to include your Excel command with your answers.| i. Find the probahility of sample mean health dollars less than 515,000. ii. Find the probability of single individual's health dollars less than 515,000. iii. Find this prabability B{sample mean health dollars > 520,000) =7

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