Answered: Refer to the accompanying data table,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference?

a. Find the F test statistic.

(Round to four decimal places as needed.)

b. Find the P-value using the F test statistic.

P-value=

(Round to four decimal places as needed.)

Transcribed Image Text:King-Size Brand Nicotine (mg) Brand Nicotine (mg) 1 1 2 23456789 10 1.4 1.0 1.0 1.1 100-mm Menthol 100-mm Nonmenthol Brand Nicotine (mg) 1 1.5 1.3 1.3 1.0 1.2 1.1 3 4 5 6 7 8 9 10 1.1 0.9 1.2 0.9 1.2 1.4 1.0 1.1 1.2 0.9 3 6 7 8 10 0.6 1.2 0.6 1.1 1.1 0.8 1.1 1.2 0.9 0.9 U

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 + ...

Expert Solution