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I have misleading data on independent pooled variance std dev 1= 51.95   and std dev 2=...

I have misleading data on independent pooled variance std dev 1= 51.95   and std dev 2= 61.92

do we use the pooled variance test since the quotient between them is 0.83   between 0.5 and 2. . therefore to use pooled method.

However, I received a response telling that we need to use the unpooled method. please clarify.

math   Statistics-And-Probability   
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