A certain commercial jet plane uses a mean of 0.15 gallons of fuel per passenger-mile, with a standard deviation of 0.01 gallons. a) Find the mean number of gallons the plane uses to fly 8000 miles if it carries 210 passengers. b) Assume the amounts of fuel used are independent for each passenger-mile traveled. Find the standard deviation of the number of gallons of fuel the plane uses to fly 8000 miles while carrying 210 passengers. c) The plane used X gallons of fuel to carry 210 passengers 8000 miles. The fuel efficiency is estimated as X/(210 × 8000). Find the mean of this estimate. d) Assuming the amounts of fuel used are independent for each passenger-mile, find the standard deviation of the estimate in part (c).
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
A certain commercial jet plane uses a
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