Answered: Fast food restaurants spend quite a a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Fast food restaurants spend quite a a bit of time studying the amount of time cars spend in their drive-through's. Certainly, the faster the cars get through the drive-through, the more opportunity for making money. QSR Magazine studied drive-through times for fast food restaurants and found that Wendy's had the best time, with a mean time spent in drive-through of 138.5 seconds and a standard deviation of 29 seconds.

We can safely assume the time spent in the drive-through follows a normal distribution.

Define the random variable T to be the time, in seconds, spent in the Wendy's drive-through.

Answers to probability questions must include the probability statement with the random variable and the value given to 4 decimal places.

1. What is the probability a car will spend less than 100 seconds in the Wendy's drive through?

2. 65% of vehicles spend at most how many seconds in the Wendy's drive through? Give answer to 1 decimal place with proper units.

3. Suppose we take a random sample of 10 vehicles that go through the Wendy's drive through, what is the probability the average time will be less than 100 seconds?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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