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Larger Sample Mean Proportions Sample Assignment

Questions: In a sample of 8 observations, the sum of squared deviation of items from the means was 94.5. In another sample to 10 observations, the value was found to be 101.7. Test whether the difference in significant at 5% level.
You are given that at 5% level critical value of f for v1 = 7 and V2 = 9 degrees of freedom is 3.29 and for v₁ = 8 and v₂ = 9 degrees of freedom is 3.29 and for v1 = 8 and v₂ = 10 degrees of freedom its value is

Sol: Let us take the hypothesis that the difference in the variance to the two samples is not significant. We are given

n₁ = 8, ∑(x₁- χ)² = 94.5
n₂ = 10, ∑(x₁- χ)² = 101.7

F = S₁²
       S₂²




F = 13.5 = 1.195
      11.3

For v₁ = 7 and v₂ = 9 F_0.06 = 3.29

The calculated value of F is less than table value. Hence we accept hypothesis and conclude that the difference in the variance of two samples is not significant at 5% level.

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Statistical Inference Estimation For Single Popula	Simple Regression Analysis
Statistical Inference About 2 Population	Time Series Forcasting Index Number
Statistical Quality Control	Correlation
Index Number	Larger Sample Mean Proportions
Non Parametric Test	Probability Theory
Sampling Distribution	Simple and Multiple Linear Regression Analysis
Unvariate Analysis

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