What is the value of x?
2 answers:
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Answer:
The standard deviation of the difference is 4.53
Step-by-step explanation:
Here we have the formula for the combined estimate of the variance given as
Where:
S² = Combined variance
n₁ = Sample size of the sample of boys = 8
n₂ = Sample size of the sample of girls = 8
S₁² = Variance of the first sample of boys = 10²
S₂² = Variance of the second sample of girls = 8²
Therefore we have
S² = 82
The variance of the difference between the two mean is;
= 20.5
Therefore the standard deviation of the difference is √20.5 = 4.53.