Before every flight the pilot must verify that the total weight of the load is mess than the max allowable load for the aircraft. The aircraft can carry 43 passages, and a flight has fuel and baggage that allows for a total passenger load of 7,095 lbs. The pilot sees that the plane is full and all the passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,095/43= 165lbs. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overload aircraft? Assume that the weights of men are normally distributed with a mean of 174.4lbs and a standard deviation of 39.6
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.
Before every flight the pilot must verify that the total weight of the load is mess than the max allowable load for the aircraft. The aircraft can carry 43 passages, and a flight has fuel and baggage that allows for a total passenger load of 7,095 lbs. The pilot sees that the plane is full and all the passengers are men. The aircraft will be overloaded if the
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