The Scotia Metropolitan Area Rapid Transit Service (SMARTS) operates six bus routes (A, B, C, D, E, and F) and 125 buses. The number of buses apportioned to each route is based on the number of passengers riding that route. Table 4-23 shows the daily average ridership on each route. (a) Find the standard divisor. (b) Explain what the standard divisor represents in this problem. (c) Find the standard quotas (round your answers to three decimal places d)Find the apportionment under Hamilton’s method of the SMARTS buses to the six bus routes EXERCISES Route A B C D E F Ridership 45,300 31,070 20,490 14,160 10,260 8,720
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.
The Scotia Metropolitan Area Rapid Transit Service
(SMARTS) operates six bus routes (A, B, C, D, E, and F)
and 125 buses. The number of buses apportioned to each
route is based on the number of passengers riding that
route. Table 4-23 shows the daily average ridership on each
route.
(a) Find the standard divisor.
(b) Explain what the standard divisor represents in this
problem.
(c) Find the standard quotas (round your answers to three
decimal places
d)Find the apportionment under Hamilton’s method of the
SMARTS buses to the six bus routes
EXERCISES
Route A B C D E F
Ridership 45,300 31,070 20,490 14,160 10,260 8,720
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