Determine whether the average nicotine content

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With reference to Example 4, for what values of 1 - 2 would the null hypothesis have been rejected ? Also find the probabilities of type II errors with the given criterion if

Example 4

An experiment is performed to determine whether the average nicotine content of one kind of cigarette exceeds that of another kind by 0.20 milligram. If n1 = 50 cigarettes of the first kind had an average nicotine content of 1= 2.61 milligrams with a standard deviation of s1 = 0.12 milligram, whereas n2 = 40 cigarettes of the other kind had an average nicotine content of x2 = 2.38 milligrams with a standard deviation of s2 = 0.14 milligram, test the null hypothesis μ1 - μ2 = 0.20 against the alternative hypothesis μ1 - μ2  0.20 at the 0.05 level of significance. Base the decision on the P-value corresponding to the value of the appropriate test statistic.

Reference no: EM131137650

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