Question 6 (1 point)
Suppose that oneway commute times in a particular city are normally distributed with a mean of 26.75 minutes and a standard deviation of 2.216 minutes. Would it be unusual for a commute time to be below 37 minutes?
Question 6 options:









A data point can be considered unusual if it is outside of the 3 standard deviation () range from its mean value (u)
i.e. If
data point > u + 3* (upper limit)
or
data point < u  3* (lower limit)
We have, u = 26.75, = 2.216
Now, 26.75 + 3*2.216 = 33.398 minutes
26.75  3*2.216 = 20.102 minutes
Thus, anything outside of range (20.102, 33.398) is unusual
Now, the commute time below 37 minutes doesn't give clarity as 36 minutes will be unusual, 28 minutes is usual and 18 minutes in unusual even though all of them are less than 37.
Thus, the correct answer is
4) We do not have enough information to determine if the value is unusual.
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