a simple random sample of 29 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 0.16 mg. use a 0.01 significance level to test the claim that the tar content of the filtered 100 mm cigarettes has a standard deviation different from 0.20 mg, which is the standard deviation for the cigarettes. Find the test statistic x2 and the p-value of the test statistic
Remember that (like the t-distribution, or the F-distribution) you'll also need the degrees of freedom for your test. And the chi-square will give you the cumulative probability, that is the probability of a result *smaller* than your X2, so for hypothesis testing be sure to use p = 1 - P(x<X2, df), not the probability from the calculator directly.
Mar 29th, 2015
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