Based on annual driving of 14,400 miles and fuel efficiency of
20 mpg, a car in the United States uses, on average, 720 gallons of
gasoline per year. If annual automobile fuel usage is normally
distributed, and if 31.56% of cars in the United States use less
than 520 gallons of gasoline per year, what is the standard
deviation?
(Round your answer to 3 decimal
places.)
Based on annual driving of 14,400 miles and fuel efficiency of 20 mpg, a car in...
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 deviation s = 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 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...
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.
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sing the make of a car in at least three of the five families? Use Binomial Table 2. If Z is a standard normal random variable find the following probabilities (Standard Table is in the Appendix and is also posted under Course Document) a. P(ZS-1.77) b. P(-2.88 SZ S-2.15) 3. Studies show that gasoline use for compact cars sold in the United States is normally distributed, with mean use of 25.5 miles per gallon (mpg) and a standard deviation...
SAMPLING DISTRIBUTION The manufacturer of a new compact car claims the miles per gallon (mpg) for gasoline consumption is normally distribution with u = 26.3 mpg and standard deviation 6 = 9.0 mpg. A consumer agency is looking to verify the manufacturer's claim. If a sample of 36 cars are tested, what is the probability that the mean mpg 7 is (a) less than 23 mpg? (b) more than 29 mpg? (b) between 23 and 29 mpg?
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)...
QUESTION 17 EPA studies of fuel consumption indicate compact car mileage to be normally distributed with a mean of 25.5 miles per gallon and a standard deviation of 5.0 mpg. What is the probability of compact cars gets between 20 and 40 mpg? (Please answer in terms of a decimal, eg 0.12) QUESTION 18 Suppose the amount of heating oil used annually by households in lowa is normally distributed with mean 200 gallons per household per year and standard deviation...
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?
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...
Market research organization selects various car models every year and assesses their fuel efficiency. This year, in the analysis of the two similar subcompact models from two different manufacturers, the average mileage of 12 A-brand cars was 27.2 miles per gallon, and the standard deviation was 3.8 mpg. The 9 B-brand cars a tested were averaging 32.1 mpg with a standard deviation of 4.3 mpg. For a = 0.01, can it be concluded that mark A gives a lower average...