Computers in some vehicles calculate various quantities related to performance.
ID: 3170881 • Letter: C
Question
Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (MPG). For one vehicle equipped in this way, MPG were recorded each time the gas tank was filled, and the computer was then reset. Here are the MPG values for a random sample of 20 of these records. (a) Describe the distribution using graphical methods and summarize the results. (Do this on paper Your instructor may ask you to turn in this in.) (b) Is it appropriate to use methods based on normal d attributions to analyze these data? Explain why or why not. Yes. The data is normal. Yes. Although not normal, the data is not particularly sewer. and has no outliers. No. The data is skewed to the let! and has many outliers. No. The data is skewed to the right and has many outliers. (C) Find the mean, the standard deviation, the standard error, and the margin of error for 95% confidence. Report the 95% confidence interval for mu, the mean MPG for this vehicle based on these data. Do you think this interval would apply to other similar vehicles? Give reasons why and why not. It's highly unlikely that this interval would apply to other similar vehicle as a t-distribution is testing the Interval of one sample data, not the population.Explanation / Answer
Lower limit = mean -1.96*standard deviation = 18.15 -1.96*3.33 = 11.6232
Upper limit = mean + 1.96* standard deviation = 18.15 +1.96*3.33 = 24.6768
Since z score at 95% is 1.96
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