A simple random sample of 29 fitered 100-mm cigarettes is obtained from a normal

Question

A simple random sample of 29 fitered 100-mm cigarettes is obtained from a normaly distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.16 mg use a 0.01 significance level to test the claim that the tar content or nite ed 100 m agarettes has a standard deviation amoent mom o 20 m which is the standard deviation for unfiltered king-size cigarettes Complete parts (a) through (d) below b. Find the test statistic (Round to three dec mal places as needed.) cFind the P.value of the test statistic The P-value of the test statistic is Round to three decmal places as needed.) Click to seect your answerts).

Explanation / Answer

(b) Here test statistic

X2 = (n-1) s2/2 = (29 - 1) * 0.162/0.202 = 17.92

as the test is two tailed test,

we will find the P - value of the test which is = 0.07185 > 0.01/2

(d) Here we state the conclusion that We failed to rejet H0. There is not sufficient evidence that the tar has different standard deviation than 0.20 mg.

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