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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?

Refer To The Accompanying Data Table Which Shows The Amounts Of Nicotine Mg Per Cigarette In Kingsize Cigarettes 100mm Menthol Cigarettes And 100mm Nonmenthol C class=

Sagot :

Answer:

So i'm going to assume that the rest of the question is the same as my homework.

It says to determine the null and alternative hypothesis

H0 is mean1=mean2=mean3

H1 is at least one of the three population mean is different from the others

It says find the F test stat

You need some form of a TI-84 plus calculator. From there, you take the data from the King-Size nicotine (mg) in List 1. 100mm-Menthol in List 2. 100-mm nonmenthol in List 3. From there you go to STAT then hit TEST then scroll all the way to the bottom where it says AVOVA. Click enter, from there you see ANOVA(, from there you have to tell it where the lists are. after ANOVA(, put L1, L2,L3 (assuming that's where you put your data into) so when all said and done in your calculator, it should look something like this: ANOVA(L1, L2, L3) then hit enter. The first line where it says F=, that's your test stat.

Find the P value:

You find the P value in the same menu as your test stat. It should be the number right below your test stat. P=

What is the conclusion for this hypothesis ?

Since our P value is less then alpha, we reject the null hypothesis (H0). From there we can conclude that there IS SUFFICIENT 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?

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

Step-by-step explanation:

The king-size cigarettes have the largest mean, it appears that the filters do make a difference.

How to form the hypotheses?

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test.

The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

H1 is at least one of the three population mean is different from the others.

To find the P value in the same menu as your test stat. It should be the number right below your test stat.

The conclusion for this hypothesis, Since our P value is less then alpha, we reject the null hypothesis (H0).

From there we can conclude that there is a sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine.

The king-size cigarettes have the largest mean, it appears that the filters do make a difference.

Learn more about null and alternative hypothesis here:

https://brainly.com/question/18831983

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