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? LOADING... Click the icon to view the data table of the nicotine amounts. Nicotine amounts (mg) Dialog content starts King-Size 100-mm Menthol 100-mm Nonmenthol Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 1 1.3 1 0.9 1 0.2 2 1.2 2 1.0 2 1.1 3 1.0 3 1.2 3 0.6 4 1.1 4 0.9 4 1.2 5 1.5 5 1.3 5 1.1 6 1.2 6 1.4 6 0.8 7 1.1 7 1.0 7 1.1 8 1.0 8 1.2 8 1.2 9 1.2 9 0.9 9 0.8 10 1.2 10 0.9 10 0.9 Determine the null and alternative hypotheses. H0: ▼ mu 1 not equals mu 2 not equals mu 3μ1≠μ2≠μ3 mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 Not all of the population means are equal.Not all of the population means are equal. At least two of the population means are equal.At least two of the population means are equal. Exactly two of the population means are equal.Exactly two of the population means are equal. H1: ▼ mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 At least one of the three population means is different from the others.At least one of the three population means is different from the others. Exactly one of the three population means is different from the others.Exactly one of the three population means is different from the others. mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 Find the F test statistic. F=enter your response here (Round to four decimal places as needed.) Find the P-value using the F test statistic. P-value=enter your response here (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? A. Reject H0. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. B. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. C. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. D. Reject H0. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. Do the filters appear to make a difference? A. No, the filters do not appear to make a difference because there is insufficient evidence to warrant rejection of the claim. B. Given that the king-size cigarettes have the largest mean, it appears that the filters do make a difference (although this conclusion is not justified by the results from analysis of variance). C. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes. D. No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of the claim.

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? LOADING... Click the icon to view the data table of the nicotine amounts. Nicotine amounts (mg) Dialog content starts King-Size 100-mm Menthol 100-mm Nonmenthol Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 1 1.3 1 0.9 1 0.2 2 1.2 2 1.0 2 1.1 3 1.0 3 1.2 3 0.6 4 1.1 4 0.9 4 1.2 5 1.5 5 1.3 5 1.1 6 1.2 6 1.4 6 0.8 7 1.1 7 1.0 7 1.1 8 1.0 8 1.2 8 1.2 9 1.2 9 0.9 9 0.8 10 1.2 10 0.9 10 0.9 Determine the null and alternative hypotheses. H0: ▼ mu 1 not equals mu 2 not equals mu 3μ1≠μ2≠μ3 mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 Not all of the population means are equal.Not all of the population means are equal. At least two of the population means are equal.At least two of the population means are equal. Exactly two of the population means are equal.Exactly two of the population means are equal. H1: ▼ mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 At least one of the three population means is different from the others.At least one of the three population means is different from the others. Exactly one of the three population means is different from the others.Exactly one of the three population means is different from the others. mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 Find the F test statistic. F=enter your response here (Round to four decimal places as needed.) Find the P-value using the F test statistic. P-value=enter your response here (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? A. Reject H0. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. B. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. C. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. D. Reject H0. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. Do the filters appear to make a difference? A. No, the filters do not appear to make a difference because there is insufficient evidence to warrant rejection of the claim. B. Given that the king-size cigarettes have the largest mean, it appears that the filters do make a difference (although this conclusion is not justified by the results from analysis of variance). C. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes. D. No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of the claim.

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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Related questions

Question

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?

Click the icon to view the data table of the nicotine amounts.

Nicotine amounts (mg)

Dialog content starts

King-Size		100-mm Menthol		100-mm Nonmenthol
Brand	Nicotine (mg)		Brand	Nicotine (mg)	Brand	Nicotine (mg)
1	1.3		1	0.9	1	0.2
2	1.2		2	1.0	2	1.1
3	1.0		3	1.2	3	0.6
4	1.1		4	0.9	4	1.2
5	1.5		5	1.3	5	1.1
6	1.2		6	1.4	6	0.8
7	1.1		7	1.0	7	1.1
8	1.0		8	1.2	8	1.2
9	1.2		9	0.9	9	0.8
10	1.2		10	0.9	10	0.9

Determine the null and alternative hypotheses.

H0:

▼

mu 1 not equals mu 2 not equals mu 3μ1≠μ2≠μ3

mu 1 equals mu 2 equals mu 3μ1=μ2=μ3

mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3

Not all of the population means are equal.Not all of the population means are equal.

At least two of the population means are equal.At least two of the population means are equal.

Exactly two of the population means are equal.Exactly two of the population means are equal.

H1:

▼

mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3

At least one of the three population means is different from the others.At least one of the three population means is different from the others.

Exactly one of the three population means is different from the others.Exactly one of the three population means is different from the others.

mu 1 equals mu 2 equals mu 3μ1=μ2=μ3

mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3

Find the F test statistic.

F=enter your response here

(Round to four decimal places as needed.)

Find the P-value using the F test statistic.

P-value=enter your response here

(Round to four decimal places as needed.)

What is the conclusion for this hypothesis test?

Reject

H0.

There is

sufficient

evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine.

Fail to reject

H0.

There is

insufficient

evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine.

Fail to reject

H0.

There is

sufficient

evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine.

Reject

H0.

There is

insufficient

evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine.

Do the filters appear to make a difference?

No, the filters do not appear to make a difference because there is insufficient

evidence to

warrant

rejection of

the claim.

Given that the king-size cigarettes have the largest mean, it appears that the filters do

make a difference (although this conclusion is not

justified by the results

from

analysis of variance).

The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes.

No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of 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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