Suppose interstate highways join the six towns A, B, C, D,E,F as follows: 1-77 goes from B through A to 1-82 goes from C through
D then through B to F: 1-85 goes from D through A to F; 1-90 goes from C through E to F and 1-91 goes from D to E.
a) Draw a graph of the network with vertices for towns and edges for segments of interstates linking neighboring towns. b) What is the minimum number of edges whose removal prevents travel between some pair of towns?
c) Is it possible to take a trip starting from town C that goes to every town without using any interstate highway for more than one edge (the trip need not return to C?
a) Draw a graph of the network with vertices for towns and edges for segments of interstates linking neighboring towns. b) What is the minimum number of edges whose removal prevents travel between some pair of towns?
c) Is it possible to take a trip starting from town C that goes to every town without using any interstate highway for more than one edge (the trip need not return to C?
1 answer:
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Answer:
Test scores of 10.2 or lower are significantly low.
Test scores of 31 or higher are significantly high
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Significantly low:
Z-scores of -2 or lower
So scores of X when Z = -2 or lower
Test scores of 10.2 or lower are significantly low.
Significantly high:
Z-scores of 2 or higher
So scores of X when Z = 2 or higher
Test scores of 31 or higher are significantly high
Hope it helps!
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