Answered: A certain city the Transportation…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

A certain city the Transportation Authority (CTA) has trollies leaving

regularly throughout the day beginning at 5:00 a.m. Although the

length of a trip and the number of stops are constant, the time taken for

each trip varies due to weather, traffiffiffic, and time of the day. According

to the CTA, the mean time taken for the trip is 50 minutes. Suppose

the travel time is Normally distributed with standard deviation σ = 4

minutes. A random sample of 25 trips is obtained, and the time for

each is recorded.

Find the probability that the sample mean time will be less than 48

minutes.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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