From the Data Below, what is a 95% confidence interval for the ratio of the vari

Question

From the Data Below, what is a 95% confidence interval for the ratio of the variances (A / B)?

Row A----------------------- Row B

84.20560824 92.6121839 75.79765709 100.5860592 107.5524107 97.86733146 92.1465386 95.25158756 100.3653707 105.68453 82.86393095 98.45013423 102.61763 103.2719285 98.20172173 106.5777249 99.17107413 105.7869609 108.4142905 91.65202063 93.41054601 96.51280551 105.794377 108.357221 106.9744017 100.0418123 111.1385928 100.2091001 111.8373837 97.00188168 100.0158385 99.11940588 110.9066259 102.6811133 89.6711262 111.8588576 116.824714 90.53674215 102.4732222 104.1325432 107.2996324 93.5822696 106.2407616 96.48798529 102.1565473 108.8595695 106.8321584 94.27192718 85.12651049 105.1573793 106.5535961 99.22986936 115.4810409 97.90991455 111.7479719 90.5207795 101.0550319 92.93330964 97.81877736 98.98265708 96.84410688 103.6947729 93.90488042 97.40043103 107.659231 108.5369606 102.9724535 102.3823065 107.2735694 102.4840633

Explanation / Answer

The statistical software output for this problem is:

Two sample variance confidence interval:
12 : Variance of Row A
22 : Variance of Row B
12/22 : Ratio of two variances

95% confidence interval results:

Hence,

95% confidence interval for the ratio of variances (A / B) will be:

(1.6580866, 6.612158)

Ratio Num. DF Den. DF Sample Ratio L. Limit U. Limit 12/22 29 39 3.2529487 1.6580866 6.612158

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