Answered: Is there sufficient evidence at the…

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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1. The price of a certain combo meal at different franchises of a national fast food company varies from $5.00 to $17.34 and has a known standard deviation of $2.04.

A sample of 26 students in an online course that includes students across the country stated that their average price is $6.00. The students have also stated that they are generally unwilling to pay more than $6.75 for this meal. Formulate and conduct a hypothesis test to determine if you can conclude that the population mean is less than$6.75. Use a level of significance of 0.05.

Is there sufficient evidence at the 0.05level of significance that the population mean is less than $6.75?

Determine the null hypothesis,

H0, ___ ____ ____

and the alternative hypothesis,

H1 ___ ____ ____

(Type integers or decimals. Do not round.)

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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