I need 100% correct answer with full explanation,please dont take it if you are

Question

I need 100% correct answer with full explanation,please dont take it if you are not sure

Tests of product quality by human inspectors can lead to serious errors. To evaluate the performance of inspectors in a new company, a quality manager had a sample of 12 novice inspectors evaluate 200 finished products. The same 200 items were evaluated by 12 experienced inspectors. The quality of each item, defective or nondefective, was known to the manager. The accompanying table lists the number of inspection errors (classifying a defective item as nondefective or vice versa) made by each inspector. Complete parts a and b below, Click the icon to view the table of inspection errors. Prior to conducting this experiment, the manager believed that the variance in inspection errors was lower for experienced inspectors than for novice inspectors. Do the sample data support her belief? Test using alpha = 0.05. Set up the null and alternative hypotheses for testing this assumption. (Treat the novice inspectors as population 1.) H_0: sigma_1^2 = sigma_2^2 H_a: sigma_1^2 > sigma_2^2 Compute the test statistic. The test statistic is F = (Round to three decimal places as needed.)

Explanation / Answer

from above given data values

s12=74.99 and s22=34.97

hence F stat =s12/s22 =2.1445

X y 33 31 34 29 33 23 36 14 20 17 29 10 26 25 45 19 21 20 41 20 31 18 48 22 s^2 74.99 34.97

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