Answered: a. Determine the null and alternative…

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

How long does a customer have to wait to check out at Natural Foods? Let x be a random
variable representing the waiting time (in minutes) for a Natural Foods customer to check out.
You may assume that x has an approximately normal distribution with standard deviation σ =
3.2. Natural Foods advertises that the population mean waiting time is µ = 10. A random
sample of 22 waiting times had mean ? = 12.1. Does this sample result provide evidence that
the true population mean waiting time is more than 10? Use a 1% level of significance.
a. Determine the null and alternative hypotheses.
b. Specify the level of significance as a decimal.
c. Compute the P-value.
d. What is the decision? You must justify your answer.

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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