e have a sample of size 9 for the African zebras with mean 650 and a sample of size 16 for the Arabian horses with mean 660.  If the pooled variance is 225, then what is the absolute value of the standardized test statistic for our data?

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We are running a hypothesis test to see if weight of African zebras is significantly different than that of Arabian horses.  We assume weight in both populations is normally distributed and both populations have the same population variance in weight which is unknown to us, so we use the sample variances to estimate the standard error for our calculations.  We have a sample of size 9 for the African zebras with mean 650 and a sample of size 16 for the Arabian horses with mean 660.  If the pooled variance is 225, then what is the absolute value of the standardized test statistic for our data?

Expert Solution
Step 1

Following information is given:

The sample size of African zebras (population A) = 9 

The sample size of Arabian horses (population B) = 16

Sample mean weight of African zebras = 650

Sample mean weight of Arabian horses - 660

Pooled variance (s2p) = 225

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