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Suppose Abby tracks her travel time to work for 60 days and determines that her mean...

Suppose Abby tracks her travel time to work for 60 days and determines that her mean travel time, in minutes, is 35.6. Assume the travel times are normally distributed with a standard deviation of 10.3 min. Determine the travel time ?x such that 26.11% of the 60 days have a travel time that is at least ?x . You may find this standard normal distribution table or this list of software manuals useful. Give your answer rounded to two decimal places.

Math   Statistics-And-Probability   
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Answer #1

Let denotes the sample mean travel time for a random sample of 60 days.

Here,

or

To find x such that

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