Question 5 1 pts Suppose heights of adults (measured in inches) are normally dis

Question

Question 5 1 pts Suppose heights of adults (measured in inches) are normally distributed with mean 70 inches and standard deviation 10 inches. What can be said about an adult height of 101 inches? 0 It is not an outlier because the height is medically plausible. O It is an outlier because it is above 3 standard deviations of the mean. It is not an outlier because you are not told that it is an error in the measurement process. O It is an outlier because it is above 1 standard deviation of the mean. Question 6 1 pts Suppose heights of adults (measured in inches) are normally distributed with mean 70 inches and standard deviation 10 inches. Find the 84th percentile. O 80 inches 90 inches O 100 inches O 70 inches

Explanation / Answer

5.

Params on normal dist are given as:

Mean = 70

Stdev = 10

P(X=101) = P(Z = 3.01) , now Z = 3.01 means 3 deviation more than mean. It is an outlier because it is 3 deviations above mean.

B option is right

6.

P(X=c) = .84

Z = .995 for P(X=c) = .84

So, c = 70+.995*(10) = 79.95 or 80 inches ( round off , or assume the Z as 1)

Option A is right

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