The following information was obtained from an experiment with two treatments (A and B). DATA: n Mean Variance Treatment A 10 4.23 32.14 Treatment B 5 3.24 3.05 The researcher wants to evaluate the homoscedasticity of the data by evaluating the variance ratio (0²1/6²2), and calculating the lower and upper confidence interval of the variance ratio. Using a 98% Confidence level: 1. What is the upper critical value of F (F2 or Fa/2). You can use the F-table provided in class or Excel (round to the nearest hundredth) 2. What is the upper confidence level of the variance ratio (round to the nearest hundredth) 3. Evaluate the confidence interval and indicate if the variances are (yes) or are not (no) homogeneous (yes/no, choose one)

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 following information was obtained from an experiment with two treatments (A and B).
DATA:
n
Mean
Variance
Treatment A
10
4.23
32.14
Treatment B
5
3.24
3.05
The researcher wants to evaluate the homoscedasticity of the data by evaluating the variance ratio (0²₁/ 0²2), and
calculating the lower and upper confidence interval of the variance ratio.
Using a 98% Confidence level:
1. What is the upper critical value of F (F2 or Fa/2). You can use the F-table provided in class or Excel (round to the nearest
hundredth)
2. What is the upper confidence level of the variance ratio (round to the nearest hundredth)
3. Evaluate the confidence interval and indicate if the variances are (yes) or are not (no) homogeneous (yes/no, choose one)
Transcribed Image Text:The following information was obtained from an experiment with two treatments (A and B). DATA: n Mean Variance Treatment A 10 4.23 32.14 Treatment B 5 3.24 3.05 The researcher wants to evaluate the homoscedasticity of the data by evaluating the variance ratio (0²₁/ 0²2), and calculating the lower and upper confidence interval of the variance ratio. Using a 98% Confidence level: 1. What is the upper critical value of F (F2 or Fa/2). You can use the F-table provided in class or Excel (round to the nearest hundredth) 2. What is the upper confidence level of the variance ratio (round to the nearest hundredth) 3. Evaluate the confidence interval and indicate if the variances are (yes) or are not (no) homogeneous (yes/no, choose one)
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