Calories in Fast-Food Sandwiches Three popular fast-food restaurant franchises specializing in burgers were surveyed to find out the number of calories in their frequently ordered sandwiches. At the α=0.05 level of significance, can it be concluded that a difference in mean number of calories per burger exists?FF#1FF#2FF#334074071029054050012505104101010440390 390 H0: u1=u2=u3=u4 --------- claim or not?H1: At least one mean is different from the others--------claim or not?Find the critical valueCompute the test value: F =Reject or do not reject the null hypothesisSummarize: Is there or is there not enough evidence to support claim?Is there or is there not enough evidence to reject the claim?

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Answered: Three popular fast-food restaurant…

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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Calories in Fast-Food Sandwiches Three popular fast-food restaurant franchises specializing in burgers were surveyed to find out the number of calories in their frequently ordered sandwiches. At the α=0.05 level of significance, can it be concluded that a difference in mean number of calories per burger exists?

FF #1	FF #2	FF #3
340	740	710
290	540	500
1250	510	410
1010	440	390
	390

H0: u1=u2=u3=u4 --------- claim or not?
H1: At least one mean is different from the others--------claim or not?
Find the critical value
Compute the test value: F =
Reject or do not reject the null hypothesis
Summarize:
Is there or is there not enough evidence to support claim?
Is there or is there not enough evidence to reject the claim?

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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