The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A (group 1) and B( group 2) .A random sample of 19 rats was selected from group 1and 16 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 19 3.5 3.0 1.05 group 2 16 2.20 2.0 1.15 F15.12.0.05 0.404 F19,16,0.025 =0.386 F16,10,0.025 0.335 F16,10,0.05 =0.401 F15,12,0.1=0.496 | F19.16,0.05 =0.451 F10,16,0.025 0.286 F12.15,0.05 =0.382 F16,19,0.025 =0.371 F10,16,0.05 =0.354 F1215,0.1=0.475 F16,19,0.05 =0.437 Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A (group 1) and
B( group 2) .A random sample of 19 rats was selected from group 1and 16 rats from group 2, Then their weight were recorded.
The results are shown in the following table
n Mean Median sd
group 1 19 3.5
3.0
1.05
group 2 16 2.20 2.0
1.15
F15.12.0.05=0.404 F19,16,0.025 =0.386
F16,10,0.025 =0.335
F16,10,0.05 =0.401 F15,12,0.1=0.496 | F 19.16,0.05 =0.451
F10,16,0.025=0.286 F12,15,0.05 =0.382 F16,19,0.025 =0.371
F10,16,0.05 =0.354 F12,15,0.1=0.475 F16,19,0.05 =0.437
Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval]
Transcribed Image Text:The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A (group 1) and B( group 2) .A random sample of 19 rats was selected from group 1and 16 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 19 3.5 3.0 1.05 group 2 16 2.20 2.0 1.15 F15.12.0.05=0.404 F19,16,0.025 =0.386 F16,10,0.025 =0.335 F16,10,0.05 =0.401 F15,12,0.1=0.496 | F 19.16,0.05 =0.451 F10,16,0.025=0.286 F12,15,0.05 =0.382 F16,19,0.025 =0.371 F10,16,0.05 =0.354 F12,15,0.1=0.475 F16,19,0.05 =0.437 Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval]
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