To compare the treatment effect of two medications two indep

To compare the treatment effect of two medications, two independent samples of patient performance data were collected. Assuming that the two populations shared the same variance, the researchers decided to conduct a two independent samples test for the means. They found that the difference between the two sample means was 3.3. The sample standard deviation of the first sample is 4.6 with a sample size of 16 and the standard deviation of the second sample is 4.8 with a sample size of 18.

What would be the pooled standard deviation of the two independent samples?

What would be the obtained t-value under the null hypothesis that assumes no difference between the two population means?

Solution