A comparison is made between two bus companies to determine if arrival times of their regular buses from Denver to Albaquerque are off schedule by the same amount of time. For 81 randomly selected runs, bus line A was observed to be off schedule an average time of 53 min with standard deviation 19 min. For 100 randomly selected runs, bus line B was observed to be off schedule an average of 62 min with standard deviation 15 min. Do the data indicate a significant difference in average off-schedule times? Use a 5% level of significance
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A comparison is made between two bus companies to
determine if arrival times of their regular buses from
Denver to Albaquerque are off schedule by the same
amount of time. For 81 randomly selected runs, bus
line A was observed to be off schedule an average
time of 53 min with standard deviation 19 min. For
100 randomly selected runs, bus line B was observed
to be off schedule an average of 62 min with standard
deviation 15 min. Do the data indicate a significant
difference in average off-schedule times? Use a 5%
level of significance
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
