Fuel economy estimates for automobiles built one year predicted a mean of 27.2 mpg and a standard deviation of 5.8 mpg for highway driving. Assume that a Normal model can be applied. Use the 68 - 95 - 99.7 Rule to complete parts a) through e). a) Draw the model for auto fuel economy. b) In what interval would you expect the central 99.7% of autos to be found? Using the 68-95-99.7 rule, the central 99.7% of autos can be expected to be found in the interval from to mpg. (Do not round. Type integers or decimals.)
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Step 1: Calculate the lower bound of the interval using the formula X = Z * standard deviation + mean, where Z = -3 Show more…
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Fuel economy estimates for automobiles built one year predicted a mean of 28.2 mpg and a standard deviation of 4.8 mpg for highway driving. Assume that a Normal model can be applied. Use the 68-95-99.7 Rule to complete parts a) through e). a) Draw the model for auto fuel economy. b) In what interval would you expect the central 68% of autos to be found? Using the 68-95-99.7 rule, the central 68% of autos can be expected to be found in the interval from 23.4 mpg to 32.6 mpg. (Do not round. Type integers or decimals.) c) About what percent of autos should get more than 33 mpg? Using the 68-95-99.7 rule, about 31.85% of autos should get more than 33 mpg. (Do not round. Type an integer or a decimal.) d) About what percent of autos should get between 33 and 37.8 mpg? Using the 68-95-99.7 rule, about 34.13% of autos should get between 33 and 37.8 mpg. (Do not round. Type an integer or a decimal.) e) Describe the gas mileage of the best 2.5% of cars. Choose the correct answer below. A. They get more than 42.6 mpg. B. They get more than 33 mpg. C. They get more than 37.8 mpg. D. They get less than 23.4 mpg.
Krishna G.
Fuel economy estimates for automobiles built one year predicted a mean of 25.1 mpg and a standard deviation of 7.07 mpg for highway driving. Assuming the gas mileages for automobiles are normally distributed, use the Empirical Rule to answer the following: The middle 99.7% of automobiles can be expected to have gas mileages between ___ and ___. Approximately ___% of automobiles will have a gas mileage more than 18.03 mpg. Approximately ___% of automobiles will have gas mileages between 32.17 and 39.24. Which of the statements below describes the gas mileages of the worst 2.5% of cars? They get more than 39.24 mpg. They get less than 3.89 mpg. They get less than 10.96 mpg. They get more than 46.31 mpg.
Robin C.
Determine the range and sample standard deviation for each of the data sets. For the sample standard deviation, round each answer to one more decimal place than that used for the observations. Every year, Consumer Reports publishes a magazine titled New Car Ratings and Review that looks at vehicle profiles for the year's models. It lets you see in one place how, within each category, the vehicles compare. One category of interest, especially when fuel prices are rising, is fuel economy, measured in miles per gallon (mpg). Following is a list of overall mpg for 14 different full-sized and compact pickups. $$\begin{array}{ccccccc} \hline 14 & 13 & 14 & 13 & 14 & 14 & 11 \\ 12 & 15 & 15 & 17 & 14 & 15 & 16 \\ \hline \end{array}$$
Descriptive Measures
Measures of Variation
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