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 29.46% 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. x = min

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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 29.46% 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.
x =
min
Transcribed Image Text: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 29.46% 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. x = min
Expert Solution
Step 1

Solution:

Let X be the travel time.

From the given information, X follows normal distribution with mean µ=35.6 min and a standard deviation σ=10.3 min.

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