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Name: A bank manager wants the average time that a customer waits in line to
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A bank manager wants the average time that a customer waits in line to be at most 3 minutes. Customers at the bank have complained about the long wait times. To test whether the average wait time at the bank is greater than 3 minutes, 60 customers we

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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A bank manager wants the average time that a customer waits in line to be at most 3 minutes. Customers at the bank have complained about the long wait times. To test whether the average wait time at the bank is greater than 3 minutes, 60 customers were randomly selected as they entered the bank and their wait times were recorded. The mean wait time was 4.7 minutes. A one-sample t-test resulted in a p-value of 0.00031.

Which of the following is an appropriate interpretation of the pp-value?

A)The probability that the population mean wait time is greater than 3 minutes is 0.00031.

B)The probability that the sample mean wait time is greater than 3 minutes is 0.00031.

C)If the population mean wait time is greater than 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031.

D)If the population mean wait time is 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes is 0.00031.

E)If the population mean wait time is 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031.

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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