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The file contains the state cigarette tax ($) for each of the 50 states as of December 31, 2009. a. Compute the population mean and population standard deviation for the state cigarette tax. b. Interpret the parameters in (a). 3.42 The file contains the per capita energy consumption, in kilowatt-hours, for each of the 50 states and the District of Columbia during a recent year. a. Compute the mean, variance, and standard deviation for the population. b. What proportion of these states has per capita energy consumption within standard deviation of the mean, ;1 Energy CigaretteTax ;1, ;2, ;3 ;2 ;1 s, m, ;1, ;2, ;3 Problems for Section 3.4 SOLUTION Because the distribution may be skewed, you cannot use the empirical rule. Using the Chebyshev rule, you cannot say anything about the percentage of bottles containing between 2.04 and 2.08 liters. You can state that at least 75% of the bottles will contain between 2.02 and 2.10 liters and at least 88.89% will contain between 2.00 and 2.12 liters. Therefore, between 0 and 11.11% of the bottles will contain less than 2 liters. m ; 3s = 2.06 ; 310.022 = 12.00, 2.122 m ; 2s = 2.06 ; 210.022 = 12.02, 2.102 m ; s = 2.06 ; 0.02 = 12.04, 2.082 3.5 The Covariance and the Coefficient of Correlation 125 within standard deviations of the mean, and within standard deviations of the mean? c. Compare your findings with what would be expected based on the empirical rule. Are you surprised at the results in (b)? d. Repeat (a) through (c) with the District of Columbia removed. How have the results changed?
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