as soon as possible A bus line has been collecting data on its passenger loading
ID: 3324756 • Letter: A
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as soon as possible
A bus line has been collecting data on its passenger loading and unloading data in order to schedule. During the data collection they collected time to board for each passenger, including 100 passengers paying with Clipper Car the following histogram: d and 50 with cash. This resulted in # Passengers vs. Time to board 45 40 35 30 25 15 E 10 0-1 1-2 2-3 3-4 455-5 67 7 89 910 10-11 Time to board normally, the c-statistic was calculated to be 35.5. Explain if the data was found to be distributed normally, and what about the data may have caused this result. a) When using a goodness of fit test to determine if the time to board was distributedExplanation / Answer
(a) A high c value indicates that the goodness of fit is very high. So for a c statistic of 35.5, the data is normally distributed. The data that may have caused this observation is a majority of the sample, i.e. 100 passengers use cliper cards to pay, which is an easier mode of payment than cash and hence most of the boarding times are clustered around the mean.
(b) Here we have to calcuate the sum of (observed frequency - expected frequency) / Expected Freq. If this is less than the chi sq critical value then we can conclude that the data is normally distributed. The Chi Sq crtical value can be computed from the given sample std. dev. and mean and the given level of significance which is 0.05 by looking up a chisq dist table.
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