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business statistic

You conduct an experiment on reaction time (the time it takes to push a button in response to a signal). One group is given a simple reaction time task (a light comes on and they push the button.) A second group is given a choice reaction time task (an "A" or a "B" is presented and the subjects push one button for "A" and a different button for "B"). Assume that it is known that the standard deviation (σ) for the simple reaction time task is 75 and the standard deviation for the choice reaction time task is 100. Five subjects are tested with the simple reaction time task and six subjects with the choice reaction time task.
Their scores (in milliseconds) are shown below:
Simple RT: 205, 230, 280, 320, 390
Choice RT: 300, 310, 380, 410, 502, 570
𝑥̅𝑠𝑖𝑚𝑝𝑙𝑒 =285 and 𝑥̅𝑐ℎ𝑜𝑖𝑐𝑒 =412
Estimate the difference between simple and choice reaction time by computing the 95% confidence interval on the difference.

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