SUV Gas Mileage Suppose the following are gas mileages (in miles per gallon) of a selection of large and midsized sport utility vehicles (SUVs).25, 25, 23, 22, 38, 25, 20, 19, 22, 22, 19, 16, 17, 18, 18, 15(a) Find the sample standard deviation (rounded to two decimal places).5.44Nice work.(b) In what gas mileage range does Chebyshev's inequality predict that at least 75% of the selection will fall? (Enter your answer using interval notation. Round your answers to two decimal places.)18.72,40.48X(c) What is the actual percentage of SUV models of the sample that fall in the range predicted in part (b)?93.75Terrific!%Which gives the more accurate prediction of this percentage: Chebyshev's rule or the empirical rule?O Chebyshev's ruleO empirical rule

Let x be the gas mileage measured in miles per gallon for SUVsx=25,25,23,22,38,25,20,19,22,22,19,16,17,18,18,15Here the sample size is n=16To find:a) The sample standard deviation of xb) Computing the Chebyshev’s Interval c) The percentage of actual values falling within the predicted intervala) The formula to compute the sample standard deviation is given by b) The formula to compute Chebyshev's Interval for a random variable x is given byc) The only data point that does not fall within the predicted interval is 38So out of 16 data points, 1 is not included in the intervalHence the required percentage is For the given context of the problem, the empirical rule provides a more accurate prediction of the percentage within a range for gas mileage, as it is specific to normal distributions and the actual percentage falls within the expected 95% range. Chebyshev's inequality is more conservative and less precise for normal distributions.Hence the correct option is the empirical rulea) The sample standard deviation is 5.44b) As per Chebyshev's inequality, the predicted interval that contains at least 75% of data values is (10.62 ,32.38)c) The actual percentage of SUV models in the sample that fall in the range predicted is 93.75 %The empirical rule provides a more accurate prediction of the percentage