Asimple random sample of 26 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. the sample has a standard deviation of 0.20 mg. use a 0.05 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.30 mg, which is the standard deviation for unfiltered king-size cigarettes. complete parts (a) through (d) below. a. what are the null and alternative hypotheses? a. h0: sigmagreater than0.30 mgupper h 1 : sigma less than or equals 0.30 mgb. h0: sigmaequals0.30 mgupper h 1 : sigma not equals 0.30 mgyour answer is correct. c.h0: sigmanot equals0.30 mgupper h 1 : sigma equals 0.30 mgd. h0: sigmaequals0.30 mgupper h 1 : sigma less than 0.30 mgb. find the test statistic.

There is significant evidence to conclude that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.30 mg, which is the standard deviation for unfilteredking-size cigarettes

Step-by-step explanation:

sample size, n = 26

sample std. dev., s = 0.20

H0: sigma = 0.30

Ha: sigma not equals to 0.30

Test statistic,

chi-square = (n-1)*s^2/sigma^2

chi-square = 25 * 0.20^2/0.30^2

= 25*0.04*0.09

=0.09

Critical values are 15.31, 44.46

As the test statistic is less than the critical value 15.31, hence reject the null hypothesis.

There is significant evidence to conclude that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.30 mg, which is the standard deviation for unfilteredking-size cigarettes

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent