Question

The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.54 minutes and a standard deviation of 1.91. Find the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase. Is this outcome unusual?

Answer 1

Let ,

Now ,

; From the standard normal probability table

If the probability is less than 0.05, then it is unusual.

Here , the probability is greater than 0.05

Therefore, the outcome is not unusual.