In a series of experiments to determine the absorption rate of certain pesticide
ID: 3248067 • Letter: I
Question
In a series of experiments to determine the absorption rate of certain pesticides into skin, measured amounts of two pesticides were applied to several skin specimens. After a time, the amounts absorbed (in mug) were measured. For pesticide A, the variance of the amounts absorbed in 6 specimens was 2.5, while for pesticide B, the variance of the amounts absorbed in 10 specimens was 0.9. Assume that for each pesticide, the amounts absorbed are a simple random sample from a normal population. Let sigma^2_1 be the population variance for pesticide A, and let sigma^2_2 be the population variance for pesticide B. Test the null hypothesis H_0: sigma^2_1 = sigma^2_2 A. For a two-tailed test, 0.02Explanation / Answer
From folloing results option-D is the answer:
Test and CI for Two Variances
Method
Null hypothesis Variance(First) / Variance(Second) = 1
Alternative hypothesis Variance(First) / Variance(Second) 1
Significance level = 0.1
F method was used. This method is accurate for normal data only.
Statistics
90% CI for
Sample N StDev Variance Variances
First 6 1.581 2.500 (1.129, 10.912)
Second 10 0.949 0.900 (0.479, 2.436)
Ratio of standard deviations = 1.667
Ratio of variances = 2.778
90% Confidence Intervals
CI for
CI for StDev Variance
Method Ratio Ratio
F (0.893, 3.641) (0.798, 13.257)
Tests
Test
Method DF1 DF2 Statistic P-Value
F 5 9 2.78 0.174
Test and CI for Two Variances
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