# To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cu

To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cup of caffeinated drink and another group solve math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.
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Sally Cresswell
Step 1
According to the provided data, the number of problems solved is normally distributed in each group, that is, the sample taken by the researcher is normally distributed. The same cannot be said for the population from the sample is taken.
Step 2
So, it is advisable to use the two-sample t-test for independent samples. The samples are independent because the treatments given to the groups are different, that is, a cup of caffeinated drink and a cup of water respectively.
This test will allow the researcher to know whether there exists a statistical significant difference between the means in both the groups which are unrelated.
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