Problem 1 (18 points) Suppose the distribution of fuel efficiency (miles per gallon (mpg) in highway...
Problem 1 (18 points) Suppose the distribution of fuel efficiency (miles per gallon (mpg) in highway driving) for a sample of cars has a mound-shaped and symmetric distribution with mean X =38 and standard deviations 10 points. Illustrate your answers with graphs. a. Calculate the percent of cars whose fuel efficiency is less than 48 mpg. b. Calculate the percent of scores that are between 28 and 68 mpg. c. Calculate the 16th percentile of the data.
The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 24.6 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28?
The fuel efficiency (miles per gallon (MPG)) of a Chevrolet Camaro driven on a highway can be calculated with the following formula, FE = 71.7 * s * (2 + 0.0192 * s) (-4.5) + e(-5.1*s)
Automobile fuel efficiency is often measured in miles that the car can be driven per gallon of fuel (highway mpg). Suppose we have a collection of cars. We measure their weights and fuel efficiencies, and generate the following scatterplot. HIGHWAY 40 35 30 25 2500 3000 4000 3500 WEIGHT 25 2500 3000 4000 3500 WEIGHT Which equation is a reasonable description of the least squares regression line for the predicted highway mpg? O predicted highway mpg - 52.3 -0.0067 (weight)...
The fuel efficiency in miles per gallon of all BMW 320i’s is approximately normally distributed with a mean of 25 and a standard deviation of 2. A dealer receives a shipment of a random sample of 320i’s (random with respect to mpg) from the factory. Hint: look at the sample sizes and think about which tables you’d need to use for these problems. (a) Find the probability that average fuel efficiency is less than 24 mpg if the dealer receives...
The highway fuel consumptions (in miles per gallon) for a sample of cars are summarized in the box-and-whisker plot. 24 26 28 30 32 34 36 a. What is the first quartile? b. What is the third quartile? c. What is the median? d. What is the midrange? e. What is the range? f. What is the interquartile range?
Cars > 1.5 tons Highway MPG (miles per gallon) 25 31 24 28 23 30 28 30 26 24 25 26 27 25 29 26 28 27 30 30 22 24 28 28 28 28 27 26 26 26 26 25 29 28 26 28 25 26 21 21 24 23 20 23 22 20 Find the standard deviation, quartiles and fences of the given data.
Problem 8 (18 points) An individual wanted to determine the relation that might exist between speed and miles per gallon of an automobile. Let Xbe the average speed of a car on the highway measured in miles per hour andlet Y represent the miles per gallon of the automobile The following data is collected 50 28 60 62 20 65 26 25 20 17 d Predict the miles per gallon of a car traveling 63 miles per hour e Predict...
Sports car or convertible? The following table presents the fuel efficiency, in miles per gallon, for a sample of convertibles and a sample of sports cars. Convertible Model MPG Sports Model MPG BMW 328i Mitsubishi Lancer Evolution Toyota Camry Solara Ford Mustang V6 Volkswagen Eos MINI Cooper Saab 9-3 Volkswagen GTI Honda Civic Si BMW 135i 23 Mazda Mazdaspeed Subaru Impreza WRX STI 24 Send date to Excel Part 1 of 2 Part 2 of 2 (b) Find the sample...
5. Thirty automobiles were tested for fuel efficiency in miles per gallon. The following frequency distribution was obtained. Calculate the mean. Class Boundaries Frequency 7.5-12.5 12.5-17.5 17.5-22.5 225-275 27.5-32.5 a 552 b.20.33 c.610 d. 25