The fuel consumption, in miles per gallon, of all cars of a particular model has a mean of 90 and a standard deviation of 12. The population distribution can be assumed to be normal. A random sample of these cars is taken.
(a) What is the sampling distribution of the sample means?
(b) Find the probability that sample mean fuel consumption will be fewer than 75 miles per gallon if:
i. a sample of 1 observation is taken.
ii. a sample of 4 observations is taken.
iii. a sample of 16 observations is taken.
(c) Explain why the three answers in part (a) differ in the way they do. Draw a graph to illustrate your reasoning.
The fuel consumption, in miles per gallon, of all cars of a particular model has a...
A random sample of six cars from a particular model year had the following fuel consumption figures (in miles per gallon). Find the 80% confidence interval for the true mean fuel consumption for cars of this model year. Left endpoint=? Right endpoint=? Sample data: 19 20.9 19.8 18.9 18.9 18.1
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.
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.
Listed below are measured fuel consumption amounts (in miles per gallon) for a random sample of cars. Acura RI Acura TSX Audi A6 BMW 525i City Fuel Consumption 18 22 21 Highway Fuel Consumption 26 31 We are going to do a matched pairs test to see if there is sufficient evidence at the 5% significance level to support the claim that there is a difference in city and highway fuel consumption. a. Define the parameter and state the hypotheses....
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 following data represent the highway fuel consumptions (in miles per gallon) for a sample of cars. Use the data to answer parts a through d.
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?
The fuel consumption of cars is specified in Europe in terms of liters per 100 km. Convert 30 miles per gallon to this unit. Note that 1 gallon (U.S.) = 3.79 L
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?
The following data represent the miles per gallon for a particular make and model car for six randomly selected vehicles. Compute the mean, median, and mode miles per gallon. 23.8,37.3,36.7,32.7,31.7,34.8 Compute the mean miles per gallon. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.